32). Solve d*i**2 + 1/4*i**4 + 19/4*i + 9/4*i**3 + 3/2 = 0.
-6, -1
Let b(r) be the first derivative of 0*r**2 + 4/3*r**3 - 4/5*r**5 + 0*r**4 - 221 + 0*r. Factor b(p).
-4*p**2*(p - 1)*(p + 1)
Let o(r) = 3*r**3 + 4*r**2 + r - 1. Let i be o(-3). Let q = -43 - i. Determine j, given that 3*j**4 + 10*j**3 - j**3 - 2*j**2 + 3*j + 5*j**2 - 12*j - q = 0.
-2, -1, 1
Let v = 1015 + -1171. Let g be v/18 + 8 + (-426)/(-45). Factor -16/5 + g*t**2 - 16*t.
4*(t - 2)*(11*t + 2)/5
Let x = 342924 + -342921. Suppose 2/19*w**x + 0 + 12/19*w + 14/19*w**2 = 0. What is w?
-6, -1, 0
Factor 14*b**2 + 28*b**2 - 15 - 89*b - 13 - 20*b**2 - 61*b.
2*(b - 7)*(11*b + 2)
Let x(a) = 86*a**2 - 280*a + 506. Let z(r) = -17*r**2 + 58*r - 101. Let s(i) = -2*x(i) - 11*z(i). Suppose s(c) = 0. Calculate c.
11/5, 3
Let t = 9888/5 - 1977. Let -14/5*p**2 + 1/5*p**5 - t*p + p**4 + 9/5 + 2/5*p**3 = 0. What is p?
-3, -1, 1
Find g, given that 672*g + 2/5*g**3 - 162/5*g**2 - 640 = 0.
1, 40
Suppose -297 + 3/2*d**4 - 201/2*d**2 - 639/2*d - 9/2*d**3 = 0. Calculate d.
-3, -2, 11
Factor 96*b**4 - 3048*b**3 + 29970*b**2 - 127575/2*b - 273375.
3*(b + 2)*(4*b - 45)**3/2
Let b(o) be the first derivative of -o**8/480 - o**7/560 + o**6/180 - o**3/3 - 41*o + 18. Let x(u) be the third derivative of b(u). Factor x(y).
-y**2*(y + 1)*(7*y - 4)/2
Suppose 194 = 5*l - 24*i + 26*i, 4*l = 2*i + 166. Suppose -2*y - l = -22*y. Let 0 + 2/7*g**y - 8/7*g = 0. Calculate g.
0, 4
Let h(a) be the first derivative of a**3/3 + 49*a**2/2 + 138*a + 483. Find i such that h(i) = 0.
-46, -3
Factor 1/4*q**5 + 5/4*q**2 + 11/4*q**3 + 0*q + 7/4*q**4 + 0.
q**2*(q + 1)**2*(q + 5)/4
Let x(g) be the third derivative of 7*g**5/330 + 2797*g**4/33 + 3196*g**3/33 + 1886*g**2. Solve x(n) = 0.
-1598, -2/7
Let q = 250185 + -4253143/17. What is y in 16/17*y**3 - 32/17*y**2 + 4/17*y**4 + 64/17 - q*y**5 - 32/17*y = 0?
-2, 2
Let r(n) be the first derivative of 4*n**6/3 - 9*n**5/5 - 15*n**4/4 + 2*n**3/3 - 1536. Factor r(u).
u**2*(u - 2)*(u + 1)*(8*u - 1)
Let p(y) be the second derivative of y**4/36 + 190*y**3/9 + 379*y**2/6 + 2181*y. Suppose p(x) = 0. What is x?
-379, -1
Suppose 463/2*v - 1/2*v**2 + 465 = 0. Calculate v.
-2, 465
Let u(b) be the second derivative of b**7/11340 - 7*b**6/1620 + 49*b**5/540 - 5*b**4/6 - b**2 - b - 76. Let w(d) be the third derivative of u(d). Factor w(n).
2*(n - 7)**2/9
Let w = 1 + -1. Suppose 32*c + 5 = 34*c + y, 5*y = c + 3. Factor 0*l**3 + w*l**c - 1/4*l**5 + l**4 + 0 + 0*l.
-l**4*(l - 4)/4
Let b be 12*((-92)/12 - -6). Let n be (-6)/15 + (-8)/b + 3. Factor -2/5*i**n - 4/5*i**2 - 3/10 + 11/10*i.
-(i + 3)*(2*i - 1)**2/10
Let l(n) = -2*n**3 + n**2 + n - 4. Let z(t) = 5*t**3 + 24*t**2 - 3*t + 12. Let s(g) = 12*l(g) + 4*z(g). Factor s(k).
-4*k**2*(k - 27)
Suppose u - 6 = -4*g + 10, -4*g - 2*u + 16 = 0. Let p(y) = y**2 - 8*y + 32. Let t(x) = -x + 1. Let f(c) = g*t(c) + p(c). Suppose f(o) = 0. What is o?
6
Let s(y) be the second derivative of 0 + 1/90*y**5 + 9*y + 0*y**4 - 15/2*y**2 - 1/9*y**3. Let i(j) be the first derivative of s(j). Factor i(r).
2*(r - 1)*(r + 1)/3
Let g(h) = -15*h**2 - 21*h - 6. Let z(j) = 10 - j**3 + 10 + 4 - 20*j - 28 - 15*j**2. Let s(q) = 2*g(q) - 3*z(q). Factor s(y).
3*y*(y + 2)*(y + 3)
Let v(g) be the third derivative of g**8/112 - 3*g**7/2 - 107*g**6/20 - g**5/10 + 213*g**4/8 + 107*g**3/2 - 3608*g**2. Find r such that v(r) = 0.
-1, 1, 107
Suppose 0 - 8/3*c**2 + 20/3*c**3 + 2/3*c**4 - 2/3*c**5 - 16*c = 0. Calculate c.
-2, 0, 2, 3
Factor -6666724/3 - 1/3*n**2 + 5164/3*n.
-(n - 2582)**2/3
Let t(h) be the third derivative of h**8/840 - 2*h**7/105 - 13*h**6/300 + 59*h**5/75 + 2*h**4 - 91*h**2. Let t(w) = 0. Calculate w.
-3, -1, 0, 4, 10
Let q = 415 - 413. Solve 30 - 1842*o + 2091*o - 53*o**q + 2*o**2 = 0 for o.
-2/17, 5
Let c be (0/8)/((-5)/10*4). Let t(o) be the second derivative of -3*o + 0*o**2 + 1/42*o**4 - 1/21*o**3 + c. Factor t(x).
2*x*(x - 1)/7
Suppose 66 = -1058*b + 1055*b. Let x be -5 + -18*11/b. Factor 3/4*z**2 + 1/2 - 1/4*z**3 - 1/4*z**x + 5/4*z.
-(z - 2)*(z + 1)**3/4
Let s be (7/(-3) + 2)*-9. Let i be (-48)/(-26) - ((-1)/(-6) - 125/390). Factor 27*k**i - 89*k**3 + 178*k**3 + 6 + 21*k - 74*k**s + 3*k**4.
3*(k + 1)**3*(k + 2)
Let w(r) = -3*r**2 + 46*r - 3. Let q be w(15). Suppose -q*x = 52 - 100. Find i such that 24/11*i**x + 40/11*i**2 - 4/11 + 58/11*i**3 + 2/11*i = 0.
-1, -2/3, 1/4
Let x = -152770 + 458324/3. Factor p**3 - 4/3 + 7/3*p + x*p**2.
(p + 1)*(p + 4)*(3*p - 1)/3
Let f be 0 - 0 - (29 + 8 + -40). Let s(l) be the third derivative of 1/15*l**5 + 0*l - 7/12*l**4 + 4/3*l**f + 1/60*l**6 - 24*l**2 + 0. Factor s(a).
2*(a - 1)**2*(a + 4)
Suppose -5*f - 3 = -3*g, -4*g + 27 - 23 = 4*f. Let t(j) be the third derivative of -4/63*j**3 + f*j + 1/630*j**5 + 0*j**4 - 11*j**2 + 0. Factor t(v).
2*(v - 2)*(v + 2)/21
Let q(u) be the first derivative of 188*u**3/3 + 46*u**2 - 96*u + 5364. Factor q(h).
4*(h + 1)*(47*h - 24)
Let 51/4*g + 0 + 7/2*g**4 - 13*g**3 - 7/2*g**2 + 1/4*g**5 = 0. What is g?
-17, -1, 0, 1, 3
Factor -25 - 67*n - 25 + 16*n - 40*n**2 - 3*n - 31*n - 5*n**3.
-5*(n + 1)*(n + 2)*(n + 5)
Suppose 0 = -42*r - 403 + 571. Let v(d) be the second derivative of -1/3*d**2 + 0 + 7/27*d**3 - 5/54*d**r + 1/90*d**5 - 7*d. What is j in v(j) = 0?
1, 3
Suppose 39 = -16*t + 135. Let a(f) = -19*f**2 - 615*f - 51. Let q(z) = 7*z**2 + 205*z + 18. Let y(v) = t*a(v) + 17*q(v). Solve y(x) = 0 for x.
0, 41
Let h(l) be the first derivative of l**6/6 + 3*l**5/5 - 23*l**4/4 - 9*l**3 + 11*l**2 + 24*l + 188. Find g such that h(g) = 0.
-6, -1, 1, 4
Solve 12 - 21*w**2 - 13507*w + 13521*w + 23*w**2 = 0.
-6, -1
Let b(j) = 24*j**2 - 14*j - 6. Let s(k) = -17*k**2 + 14*k + 7. Let r(n) = 3*b(n) + 4*s(n). Let r(t) = 0. What is t?
-5/2, -1
Suppose -2*k + 5*p + 437 = -1258, -3*k - 5*p = -2530. Let s = k - 3377/4. Factor 1/4*u**3 + s*u**2 + 0 + 1/2*u.
u*(u + 1)*(u + 2)/4
Suppose 54 = -187*k + 193*k. Let j be (-76)/12 + k - 2. Suppose 2*m**3 + 0 - 2/3*m**4 - 2*m + j*m**2 = 0. What is m?
-1, 0, 1, 3
Let c = -32991 - -32994. Suppose h**2 + h**c - 1/2*h**4 - 1/2*h**5 - 1/2 - 1/2*h = 0. Calculate h.
-1, 1
Let -3/8*k**3 + 381/4 - 1149/8*k + 195/4*k**2 = 0. What is k?
1, 2, 127
Let s(f) be the first derivative of -f**3/3 + 181*f**2/2 - 358*f - 3548. Factor s(r).
-(r - 179)*(r - 2)
Determine u so that -579*u - u**3 + 252*u**2 + 372 + 70*u**2 - 2*u**3 - 168*u + 56*u**2 = 0.
1, 124
Suppose 2*o - g - 5 = -0*g, -7 = -2*o + 3*g. Let x(v) = v**3 - 6*v**2 + 3*v + 12. Let d be x(5). Solve o*k**3 + 15*k**2 - 13*k**2 - d*k - 1 - 1 = 0.
-1, 1
Let t(x) = -226*x - 19434. Let m be t(-86). Determine w, given that 3/2*w + 4*w**m + 0 = 0.
-3/8, 0
Let j(v) = -3*v**2 - 68*v + 33. Let m be j(-23). Let t be 5 - (-4 + (-33)/(-22)). Determine q, given that -m - t*q - 5/4*q**2 = 0.
-4, -2
Suppose -21*k - 4*k**3 - 63*k**2 + 47*k**2 + 625 + 252*k + 335 + 233*k = 0. Calculate k.
-12, -2, 10
Suppose -5 = -5*k, 5*r - 12 + 4 = 2*k. Suppose -i - a = 2*i - 9, -5*i - r*a = -16. Find y, given that 0*y + 0 - 5/2*y**3 - 5/4*y**i - 5/4*y**4 = 0.
-1, 0
Solve 1125*f + 111493*f**4 - 7*f**3 - 111498*f**4 + 325*f**2 - 3*f**3 + 3*f**3 + 2*f**3 = 0.
-5, 0, 9
Let k be (-2)/(-168) + (-415)/(-2490) - 30/(-24). Factor 0 - 2*z**2 - 2/7*z**4 - 6/7*z - k*z**3.
-2*z*(z + 1)**2*(z + 3)/7
Suppose 2015 = 26*g - 39. Let 210*q + 1805 - 106*q**2 - 452*q**3 - g*q**2 + 457*q**3 + 1405*q = 0. What is q?
-1, 19
Let m be 855/(-450) - (-14)/4. Factor m + 8/5*a + 2/5*a**2.
2*(a + 2)**2/5
Suppose 51 = 12*s - 10*s + r, -3*r - 63 = -3*s. Let m be 0/(s/32*-8). Let 0*k**2 + m - 2/7*k**5 + 0*k**4 + 0*k + 2/7*k**3 = 0. What is k?
-1, 0, 1
Let r = -12914 - -12916. Let h be 26/10 + 15/(-25). Determine n, given that -1/2*n**4 + 3/2*n**2 + h*n - n**3 - r = 0.
-2, 1
What is q in 1840*q**4 - 600 - 2570*q + 272780*q**5 - 272720*q**5 + 278*q**3 - 2635*q**2 + 837*q**3 = 0?
-30, -1, -1/2, 4/3
Let f(t) = 70*t**2 - 134*t - 160. Let b(n) = 23*n**2 - 44*n - 53. Let o(i) = -68*b(i) + 22*f(i). Determine q, given that o(q) = 0.
-7/6, 3
Factor -81/2*j + 1/6*j**3 - 61/3 - 20*j**2.
(j - 122)*(j + 1)**2/6
Let a(f) be the third derivative of 0 + 48*f**2 + 31/30*f**5 + 2/3*f**3 + 5/4*f**4 + 1/5*f**6 + 0*f. Solve a(c) = 0.
-2, -1/3, -1/4
Let m be (-93)/(-310) - 3/10. Let n(i) be the third derivative of 1/450*i**5 + 0*i + 1/90*