**2 + 16/3*r**4 - 184/3*r**3 + 197/3*r - 26/3 = 0. Calculate r.
-2, 1/4, 13
Let o(a) = -22*a**4 - 88*a**3 + 659*a**2 - 2074*a + 2048. Let u(n) = 10*n**4 + 44*n**3 - 330*n**2 + 1036*n - 1024. Let g(h) = -6*o(h) - 13*u(h). Factor g(v).
2*(v - 8)**2*(v - 4)*(v - 2)
Let x(c) = -c**3 + c**2 + 8. Let u(v) = -3*v**3 - 40*v**2 + v + 58. Let m(j) = -5*u(j) + 10*x(j). Factor m(a).
5*(a - 1)*(a + 1)*(a + 42)
Let t(d) be the second derivative of -1/40*d**5 + 0 - 15/2*d**2 - 3/4*d**4 - 47/12*d**3 + 126*d. Find q, given that t(q) = 0.
-15, -2, -1
Let c be (47 + -43)*(-1 + -1). Let g be ((-4)/c)/((42/4)/7). Solve -g*b**4 + 0 + 1/3*b**2 + 1/3*b**3 - 1/3*b = 0.
-1, 0, 1
Let n be ((-163)/11 - -2*3/(-33))*376/(-9400). Solve -9/5*h**2 - n*h**4 - 3*h**3 + 0 + 27/5*h = 0.
-3, 0, 1
Let c(d) be the first derivative of d**4/12 + 2*d**3/9 - 5*d**2/2 - 2391. Factor c(n).
n*(n - 3)*(n + 5)/3
Suppose -8*w + 13 = -21*w. Let s(p) = 2*p**5 + p**4 + 3*p**3 - p**2 - 2*p + 3. Let c(z) = z**5 + 1. Let r(i) = w*s(i) + 3*c(i). Suppose r(u) = 0. Calculate u.
-1, 0, 1, 2
Let r(w) be the first derivative of -10*w**6/3 + 2112*w**5/5 + 1292*w**4 + 576*w**3 + 5650. Find i such that r(i) = 0.
-2, -2/5, 0, 108
Suppose -13*w - c = -12*w - 256, -232 = -w + 5*c. Let o be (16/w)/(42/147). Factor -o*a**3 + 10/9*a**2 - 16/9*a + 8/9.
-2*(a - 2)**2*(a - 1)/9
Let g be (5 - (-488)/(-88))/((-112)/77). Find r, given that 3/8*r + g*r**2 - 9/4 = 0.
-3, 2
Factor 0 + 351/5*c**2 + 3/5*c**3 + 0*c.
3*c**2*(c + 117)/5
Factor -43/6*u + 0 - 1/12*u**2.
-u*(u + 86)/12
Let h(o) be the second derivative of o**6/180 + o**5/30 + o**4/12 - 11*o**3 - 12*o. Let z(q) be the second derivative of h(q). Suppose z(l) = 0. What is l?
-1
Find i such that -301071 - 279255 + 168822 + 928286 - 4784*i + 913634 + 4*i**2 = 0.
598
Let m(v) be the third derivative of -v**8/896 - v**7/560 + v**6/160 + 1762*v**2. Let m(u) = 0. Calculate u.
-2, 0, 1
Let k(a) be the third derivative of 3*a**7/490 - 5*a**6/168 - a**5/70 + 3*a**4/14 + 4*a**3/21 - 4*a**2 - 187*a. Solve k(o) = 0 for o.
-1, -2/9, 2
Let f be 13/4*-1 - 9/(-36). Let z be (7/f - -3)*180/40. Suppose 70*l - 135/2*l**5 + 225*l**2 + 20/3 + 1195/6*l**z - 30*l**4 = 0. What is l?
-1, -2/9, 2
Let u(m) = 25*m**2 + 2*m - 1. Let x(a) = 255*a**2 - 820*a - 4335. Let h(s) = -10*u(s) + x(s). Factor h(q).
5*(q - 173)*(q + 5)
Let o(d) = d + 42. Let w be o(-37). Determine q so that 4*q - w*q**2 - 12*q + 2*q + 9 + 2*q**2 = 0.
-3, 1
Factor -96*w + 103*w**2 + 46*w - 105*w**2 + 52.
-2*(w - 1)*(w + 26)
Factor 1/2*i**2 - 1470*i + 1080450.
(i - 1470)**2/2
Let b(i) = 2*i**2 + 286*i - 315. Let m(n) = -3*n**2 - 564*n + 630. Let g(v) = -7*b(v) - 3*m(v). Find f such that g(f) = 0.
-63, 1
Factor 1/11*h**3 - 91/11*h**2 - 280/11*h - 188/11.
(h - 94)*(h + 1)*(h + 2)/11
Determine u so that -16/9 - 464/9*u**3 + 176/9*u + 844/9*u**2 = 0.
-1/4, 2/29, 2
Let x be (8397/(-630) - -20) + 1/(-14). Factor -18/5 - x*u - 12/5*u**2 + 3/5*u**3.
3*(u - 6)*(u + 1)**2/5
Let j(t) be the second derivative of t**7/294 - 169*t**6/210 + 333*t**5/70 - 71*t**4/6 + 661*t**3/42 - 165*t**2/14 - 7*t - 91. Factor j(m).
(m - 165)*(m - 1)**4/7
Let z(m) be the first derivative of 1/26*m**4 - 2/39*m**3 - 40 + 0*m + 0*m**2. Factor z(b).
2*b**2*(b - 1)/13
Let m(y) be the second derivative of y**7/21 - 8*y**6/15 + 4*y**5/5 + 25*y**4/3 - 19*y**3 - 90*y**2 + 594*y. Determine q, given that m(q) = 0.
-2, -1, 3, 5
Let -47/2 - 70/3*r + 1/6*r**2 = 0. Calculate r.
-1, 141
Let i = -17092 + 17096. Factor -4/7*g**i - 20/7*g**3 + 4/7*g**2 + 0 + 20/7*g.
-4*g*(g - 1)*(g + 1)*(g + 5)/7
Let z(l) = 1495*l - 1495. Let d be z(1). Factor 1/5*o**5 + 0 + d*o - 1/5*o**3 - 2/5*o**4 + 2/5*o**2.
o**2*(o - 2)*(o - 1)*(o + 1)/5
Let 4*l**4 - 712*l - 548 + 165 - 128*l**3 + 95 - 556*l**2 = 0. What is l?
-2, -1, 36
Let w(s) be the second derivative of 0 - 29*s + 0*s**2 - 17/9*s**3 - 1/36*s**4. Factor w(f).
-f*(f + 34)/3
Let x be (-30)/70 - (-159)/252*2. Let t(p) be the second derivative of 0 + 5*p**2 - 5/4*p**4 + x*p**3 + 2*p. Find l, given that t(l) = 0.
-2/3, 1
Let v = -267 + 271. Suppose -5*n = 2*a + 1, n + v - 3 = 0. Factor 3 + 6*j**a + 6*j**3 - 21/2*j.
3*(j + 2)*(2*j - 1)**2/2
Let x(y) be the first derivative of -3/4*y**4 + 77 + 11*y**3 + 84*y - 48*y**2. Solve x(a) = 0.
2, 7
Suppose -2580*f + 24 = -2585*f - 3*x, 3*f + x + 8 = 0. Solve 0 - z**2 + 0*z**4 + 3/2*z**3 - 1/2*z**5 + f*z = 0 for z.
-2, 0, 1
Suppose 0 = -3*q + 1 - 7, -3*i + 14 = 2*q. Let v(t) be the first derivative of -33/2*t**2 + 9*t**3 - 23 + i*t. Determine y so that v(y) = 0.
2/9, 1
Suppose -230*b - 50 = s - 235*b, -b + 5*b = 40. Factor 0*c - 26/9*c**3 - 2/9*c**4 + 0 + s*c**2.
-2*c**3*(c + 13)/9
Let i be 8 - (13/(-39) + (-194)/(-24)). Let h(r) be the second derivative of 1/4*r**4 + i*r**3 - 1/28*r**7 + 0 - 1/10*r**6 + 0*r**5 + 7*r + 0*r**2. Factor h(q).
-3*q*(q - 1)*(q + 1)**3/2
Let m(l) be the third derivative of l**6/420 + 6*l**5/35 + 5*l**4/12 + 1023*l**2 + l. Factor m(x).
2*x*(x + 1)*(x + 35)/7
Suppose -42*p - 6 = -45*p. Let b be -2*(2 + (p - 6)). Determine w, given that 60*w + 5*w**3 - 5*w**3 + 15*w**3 + 5*w**b + 15*w**3 + 65*w**2 + 20 = 0.
-2, -1
Find n such that 3 + 21 - 5*n**4 + 5 - 90*n**2 - 192*n**2 + 2 + 92*n + 164*n**3 = 0.
-1/5, 1, 31
Let h be 728/338 + (-4)/26. Solve 35*k**3 + h*k**4 + 26*k**2 + 12*k - 10*k**3 - 9*k**3 = 0.
-6, -1, 0
Let u(w) be the second derivative of w**6/24 + w**5/12 - 207*w**2/2 - 102*w. Let f(o) be the first derivative of u(o). Factor f(t).
5*t**2*(t + 1)
Solve 44*z + 59*z + 2*z**2 - 18*z - 7*z**2 + 630 - 10*z = 0.
-6, 21
Find n such that 24/5*n**4 + 124/5*n + 144/5 + 4/5*n**5 - 168/5*n**2 - 128/5*n**3 = 0.
-9, -1, 1, 4
Let g(w) be the first derivative of -10201*w**4/6 - 286436*w**3/9 - 5660*w**2/3 - 112*w/3 - 2923. Factor g(m).
-2*(m + 14)*(101*m + 2)**2/3
Suppose -91*r = -89*r - 6. Let u be (r - 54/14) + 325/273. Suppose 0*i**2 - u*i**3 - 2/3 + i = 0. What is i?
-2, 1
Let n = 110 + -92. Factor 230 - 4*d**2 + 16*d - 270 + n*d + 10*d.
-4*(d - 10)*(d - 1)
Suppose 0 = -15*n + 16*n - 28. Let -59 - 38 + 16 + n*a - a**2 - 10*a = 0. Calculate a.
9
Let i(h) be the second derivative of h**6/15 + 21*h**5/5 + 13*h**4/2 - 82*h**3/3 + 2179*h - 2. Solve i(z) = 0 for z.
-41, -2, 0, 1
Let z = -5815 + 11631/2. Let s = -3 - -3. Suppose 0 - 1/3*g**2 + 2/3*g**4 + z*g**5 + s*g - 5/6*g**3 = 0. Calculate g.
-2, -1/3, 0, 1
Let m(u) be the third derivative of -u**8/168 - 19*u**7/105 - 79*u**6/60 + 119*u**5/30 + 20*u**4/3 - 100*u**3/3 + 15*u**2 + 18*u. What is t in m(t) = 0?
-10, -1, 1
Let v = 1788570 - 3577125/2. Find n such that 3/2*n**4 + 3/2*n**3 - 3 - 9/2*n**2 - v*n = 0.
-1, 2
Let h = -216 - -795. Suppose 0 = h*n - 562*n. Determine p so that 1/4*p**5 + n + 3/4*p + 3*p**3 - 5/2*p**2 - 3/2*p**4 = 0.
0, 1, 3
Determine t so that -4/5*t**5 + 4264/5*t**2 + 724/5*t**4 - 2836/5*t + 708/5 - 2856/5*t**3 = 0.
1, 177
Let u(v) = -2*v**2 + 12*v + 17. Let l be u(7). Suppose -2*m + 17 = -l*c, c - 15 = -5*m + 2. Factor 4*x**3 + 16/9*x**5 + 0 - 4/9*x + 4/9*x**2 + 44/9*x**m.
4*x*(x + 1)**3*(4*x - 1)/9
Find g such that -1/4*g**2 - 321/2*g - 641/4 = 0.
-641, -1
Let x = 2/567113 + 137808445/3969791. Find n such that x + 3/7*n**2 - 54/7*n = 0.
9
Let o(w) be the first derivative of w**4 + 244*w**3/3 - 2*w**2 - 244*w + 147. Find j such that o(j) = 0.
-61, -1, 1
Factor 49/4*u**2 - 715/4*u + 3267/4 - 1/4*u**3.
-(u - 27)*(u - 11)**2/4
Let p(i) be the first derivative of i**3/2 - 8229*i**2/2 + 22572147*i/2 + 6722. Factor p(r).
3*(r - 2743)**2/2
Let a(t) be the first derivative of t**3/3 - 813*t**2 + 1625*t - 2262. Factor a(x).
(x - 1625)*(x - 1)
Let 315*o - 2*o**2 - 268*o - 399 - o**2 - 224*o - 225*o = 0. Calculate o.
-133, -1
Factor 24947*y + 45 + 31470*y - 87437*y + 5345780*y**2.
5*(1034*y - 3)**2
Let h(q) be the first derivative of -3*q**4/4 + 2*q**3 - 3*q**2/2 - 43*q - 17. Let d(r) be the first derivative of h(r). Find c such that d(c) = 0.
1/3, 1
Let z(y) = 18964*y - 94052. Let k be z(5). Find f, given that -1/3*f**2 - k + 32*f = 0.
48
Factor -3*k**2 - 14*k**4 + 16*k**4 + 7*k**3 + 13*k**3 - 64*k - 4*k**3 + 27*k**2 - 128.
2*(k - 2)*(k + 2)*(k + 4)**2
Let z(d) be the first derivative of 11*d**4 - 24*d - 74*d**2 - 15 - 80/3*d**3. Find k, given that z(k) = 0.
-1, -2/11, 3
Let q(h) be the third derivative of -h**6/360 + 