-6/7909. Suppose 5/2*b**2 + 0*b - 5/6*b**3 - l = 0. What is b?
-1, 2
Let p(k) = -k**3 - 6*k**2 + 18*k + 12. Let s be p(-8). Let n(m) = m**2 + 3*m. Let d be n(s). Factor 8 - d*o**3 - 3*o**2 + 12*o + 4*o**2 - o**2.
-4*(o - 2)*(o + 1)**2
Solve -3421*v**2 + 6825*v**2 + 6*v**3 - 3341*v**2 - 54 + 75*v = 0 for v.
-9, -2, 1/2
Let i be ((-21)/8)/((-10115)/(-8092)) + 10/4. Solve 0 - 18/5*z**4 + 6*z**3 + i*z**5 + 0*z - 14/5*z**2 = 0 for z.
0, 1, 7
Let d = -28483 + 3417961/120. Let p(o) be the third derivative of d*o**6 + 0 + 0*o**4 + 3*o**2 + 1/15*o**5 + 0*o**3 + 0*o. Factor p(h).
h**2*(h + 4)
Let g be ((-2 - -1) + -58)/((-8)/(-80)). Let a = g - -594. Factor -1/2*j**2 + 0 + j - 4*j**3 - 5/2*j**a.
-j*(j + 1)**2*(5*j - 2)/2
Let b(a) be the second derivative of a**7/252 + 241*a**6/180 + 2*a**5 + 2437*a. Factor b(g).
g**3*(g + 1)*(g + 240)/6
Let r(f) be the first derivative of -2*f**6/3 + 154*f**5/25 - 181*f**4/10 + 58*f**3/5 + 99*f**2/5 + 2181. Let r(b) = 0. What is b?
-1/2, 0, 11/5, 3
Determine d so that 10/9*d**4 + 0 - 8*d**2 + 0*d + 2/9*d**5 - 8/3*d**3 = 0.
-6, -2, 0, 3
Let z(b) = -5*b**3 - b**2 + b. Let j(v) = 8*v**3 + 282*v**2 - 1098*v + 1088. Let l(k) = j(k) + 2*z(k). Factor l(c).
-2*(c - 136)*(c - 2)**2
Suppose -33/4*k**2 + 291/4*k - 255/4 - 3/4*k**3 = 0. Calculate k.
-17, 1, 5
Suppose -3 + 498 + 207 = 234*t. Factor 0 + 3/7*q**4 + 0*q**2 + 0*q + 3/7*q**t.
3*q**3*(q + 1)/7
Let t(z) be the second derivative of z**6/20 + 9*z**5/20 - 55*z**4/8 - 63*z**3 - 81*z + 11. Find s, given that t(s) = 0.
-9, -4, 0, 7
Suppose -1029*f = -1940*f + 1822. Factor 3*h**f + 0 - 3/2*h**3 + 1/4*h**4 - 2*h.
h*(h - 2)**3/4
Let s be (-261)/36 + 12 + (-1)/(-4). Let k be (-3)/((-72)/112) - s/(-15). Factor d**2 + 1/2*d + 0*d**3 - d**4 - 1/2*d**k + 0.
-d*(d - 1)*(d + 1)**3/2
Let b(d) = -3*d**3 - 123*d**2 + 2170*d - 3844. Let j(n) = 2*n**3 + 61*n**2 - 1085*n + 1922. Let o(w) = -3*b(w) - 5*j(w). Solve o(q) = 0.
2, 31
Let z(w) be the second derivative of -w**5/150 + 2*w**4/3 + 61*w**3/45 - 779*w. Find h, given that z(h) = 0.
-1, 0, 61
Let n(s) be the third derivative of -s**7/70 + s**6/8 + 2*s**5/5 - 6*s**4 - 2*s**2 - 3*s + 14. Factor n(r).
-3*r*(r - 4)**2*(r + 3)
Let t = -11 - -20. Suppose 0 = 2*d - t + 1. Solve 0*z**d - 2*z - 2*z**5 + 48 + 4*z**4 - 44 - 8*z**2 + 4*z**3 = 0.
-1, 1, 2
Find p, given that 45*p**2 + 5/4*p**3 + 615/2 - 995/4*p = 0.
-41, 2, 3
Let o = 757752/78995 + 120/15799. Factor -o*z**2 - 24*z + 6/5*z**3 + 0.
6*z*(z - 10)*(z + 2)/5
Let s(l) be the third derivative of l**8/6720 - l**7/840 + l**6/240 + 77*l**5/60 + 26*l**2. Let a(o) be the third derivative of s(o). Factor a(y).
3*(y - 1)**2
Let r(j) be the third derivative of -11*j**5/15 - 21*j**4/2 - 104*j**3/3 - 19*j**2 + 6. Factor r(m).
-4*(m + 1)*(11*m + 52)
Let h(r) be the third derivative of r**5/210 - 272*r**4/21 + 295936*r**3/21 - r**2 - 292. Determine q so that h(q) = 0.
544
Let u = 27884 + -27878. Factor 8/3*n + u + 2/9*n**2.
2*(n + 3)*(n + 9)/9
Let c(s) be the first derivative of -2*s**5/15 - s**4 + 32*s**3/9 + 1605. Factor c(u).
-2*u**2*(u - 2)*(u + 8)/3
Let j(f) = -f**2 - f. Let k be (-55)/(-33) + 2/6. Let x(p) = -829*p + 2*p**4 - 8 + 5*p**2 + 0*p**2 + 856*p - 4*p**3. Let w(s) = k*x(s) + 22*j(s). Factor w(z).
4*(z - 2)*(z - 1)**2*(z + 2)
Let u(o) be the first derivative of -3*o**4/16 - 57*o**3/4 + 1107*o**2/8 - 1701*o/4 + 395. Determine x so that u(x) = 0.
-63, 3
Let c = 7/17264 - -414287/120848. Factor -c - 6*u - 3*u**2 - 3/7*u**3.
-3*(u + 1)*(u + 2)*(u + 4)/7
Let m = 13657349/17 + -803373. Suppose 8/17*n**2 - m*n**3 + 2/17*n**4 + 0*n + 0 = 0. What is n?
0, 2
Let g(h) be the third derivative of -h**7/490 - 19*h**6/140 - 99*h**5/35 - 81*h**4/7 + 2*h**2 - 449. Factor g(o).
-3*o*(o + 2)*(o + 18)**2/7
Solve 1/4*d**5 - 11/4*d**4 + 0*d**2 + 0*d - 3*d**3 + 0 = 0.
-1, 0, 12
Let i(h) be the first derivative of 16/17*h - 20/17*h**2 + 12/17*h**3 - 7/34*h**4 + 2/85*h**5 - 18. Factor i(g).
2*(g - 2)**3*(g - 1)/17
Suppose 4*i + 3*v = 19, -4*i - 5*v = -5*i - 1. Let c be (-66)/(-30) - (-1)/(-5). Solve -13*y**3 + 19*y - 33*y**c - 51*y + 5 + 21*y + 4*y**i = 0.
-1, 1/4, 5
Let f(v) be the second derivative of -1/315*v**6 + 1/210*v**5 - 2*v - 1/63*v**3 - 44 + 1/126*v**4 + 0*v**2. Suppose f(b) = 0. Calculate b.
-1, 0, 1
Let h be ((-3)/(-6))/(1 - (-489)/(-492)). Suppose -6*a + h = -a + 4*l, -5*a + l = -92. What is m in 117*m**3 + 63 + 15*m - a - 25*m**2 - 112*m**3 = 0?
-1, 3
Let x(u) be the second derivative of -u**4/8 + 19*u**3/4 - 135*u**2/2 - 2*u - 183. Factor x(a).
-3*(a - 10)*(a - 9)/2
Let q(s) = -s**2 + s - 1. Let y(u) = -10*u**2 - 8*u + 8. Let z be y(1). Let n(w) = 3*w**2 - 2*w + 1. Let x(f) = z*q(f) - 5*n(f). Factor x(r).
-5*(r - 1)*(r + 1)
Let w be 49/(-168) - (-36)/96 - (3 - (-26)/(-8)). Let 1/6*z**2 + 0 - w*z**5 + 0*z + 5/6*z**4 - 2/3*z**3 = 0. Calculate z.
0, 1/2, 1
Let h(u) be the second derivative of -u**4/54 - 287*u**3/27 + 578*u**2/9 + 4250*u. Let h(n) = 0. Calculate n.
-289, 2
Let z(c) = 12*c**4 - 94*c**3 + 164*c**2 - 38*c. Let w = -516 + 514. Let q(r) = 26*r**4 - 190*r**3 + 327*r**2 - 77*r. Let t(g) = w*q(g) + 5*z(g). Factor t(k).
2*k*(k - 9)*(k - 2)*(4*k - 1)
Let m(z) be the second derivative of 0 - 23/5*z**5 + 27*z**2 - 1/63*z**7 - 11*z - 29*z**3 + 149/9*z**4 + 7/15*z**6. Factor m(j).
-2*(j - 9)**2*(j - 1)**3/3
Suppose 3*a = -15, 5*l + 4*a + 11 = 31. Let y be (-6)/4 - (-300)/l. Factor -34*j**4 - 291*j**2 - y*j - 14*j**4 - 216*j**3 - 72*j - 12.
-3*(j + 2)**2*(4*j + 1)**2
Let f(c) be the second derivative of -c**5/60 + 71*c**4/6 - 2544*c**3 + 44944*c**2/3 - 417*c - 5. Solve f(u) = 0.
2, 212
Find v, given that 4/7*v**3 - 194392/7 - 464/7*v**2 + 2444*v = 0.
22, 47
Let v be 25/(-25) + (3 - (-91)/63 - -5). Find c, given that 56/9*c**2 - 16/9*c - 2*c**5 - 14/9*c**4 + v*c**3 + 0 = 0.
-2, -1, 0, 2/9, 2
Let h be ((108/(-24))/9)/((-3)/(-1710)). Let o be -6*((-12)/114 - (-160)/h). Find q, given that 10/3*q**2 - 10/3*q**3 + 8/3*q - 8/3 - 2/3*q**o + 2/3*q**5 = 0.
-2, -1, 1, 2
Let x(j) = -j**2 + 322*j + 1125. Let w(l) = -2*l**2 + 587*l + 2250. Let y(n) = 6*w(n) - 11*x(n). Suppose y(o) = 0. Calculate o.
-45, 25
Let r = -26 + 28. Let n be (12/r)/(6/4). Solve x**2 + 0 - 5 + n = 0.
-1, 1
Factor 0*a**2 + 0*a - 7/2*a**3 - 1/4*a**5 - 15/4*a**4 + 0.
-a**3*(a + 1)*(a + 14)/4
Suppose -4*w - 30 = w. Let y = w - -10. What is b in -4*b - y*b - 2*b**2 - 5*b + 7*b + 8 = 0?
-4, 1
Suppose 55*d - 162 = -6*d - 20*d. Let h(p) be the first derivative of 4/3*p**3 + d*p**2 + 0*p + 23. Determine i, given that h(i) = 0.
-1, 0
Let r(j) be the first derivative of -j**4/32 - 11*j**3/24 - 39*j**2/16 - 45*j/8 - 1497. Factor r(u).
-(u + 3)**2*(u + 5)/8
Let m(s) be the third derivative of -s**7/350 + 19*s**6/200 + 69*s**5/50 + 73*s**4/10 + 20*s**3 - 1765*s**2. Determine n so that m(n) = 0.
-2, 25
Let b(u) be the third derivative of -u**6/180 + u**5/6 - 4*u**4/3 + 17*u**3/2 - 7*u**2 - u. Let x(t) be the first derivative of b(t). Factor x(s).
-2*(s - 8)*(s - 2)
Let u = 396 - 386. Let q be ((-27)/36)/((-6)/u). Let 1/4*p**4 - 3*p**2 - 7/2*p - 1/2*p**3 - q = 0. Calculate p.
-1, 5
Let s = 2889/5165 - -42/1033. Factor 0 + s*i**3 + 0*i + 0*i**4 - 1/5*i**5 + 2/5*i**2.
-i**2*(i - 2)*(i + 1)**2/5
Let o be (-15)/5 - 106/(-32). Let z = 29/16 - o. Factor -3/4*a**2 + 3/4*a**4 + 0 - 3/2*a**3 + z*a.
3*a*(a - 2)*(a - 1)*(a + 1)/4
Let l be (645/220 - 3)/(897/(-4784)). Suppose 0 + l*t**2 - 6/11*t + 2/11*t**3 = 0. Calculate t.
-3, 0, 1
Let b(f) = 4*f**3 + 11180*f**2 - 17896*f - 7240. Let x(c) = 860*c**2 - 1377*c - 557. Let g(j) = 3*b(j) - 40*x(j). Factor g(i).
4*(i - 70)*(i - 2)*(3*i + 1)
Let i(n) be the first derivative of 25*n**5 + 12575*n**4/2 - 20455*n**3/3 - 25800*n**2 - 18180*n + 11081. Suppose i(v) = 0. Calculate v.
-202, -3/5, 2
Suppose -1173*d - 46 = -4*w - 1175*d, -3*w - 3*d = -57. Suppose 10/11*f**w - 16/11*f + 20/11*f**2 + 0 + 46/11*f**3 = 0. What is f?
-4, -1, 0, 2/5
Let k be (-115)/(-46) - 1/(-2)*-1. Let h be 77/33 + k/3. Factor 9/8*q + 3/8*q**h - 3/8 - 9/8*q**2.
3*(q - 1)**3/8
Let g(w) = 46*w**3 - 11*w**2 - 395*w - 3. Let s(z) = 15*z**3 + z**2 - z - 1. Let b(h) = g(h) - 3*s(h). Factor b(x).
x*(x - 28)*(x + 14)
Suppose 495 = -3*p + 492. Let y be ((-3502)/425 - -8)*(p - 4). Find i, given that -8/5*i**2 - 2/5*i**3 - y*i + 0 = 0.
-3, -1, 0
Suppose 34 = -h - 10