207*v - 12*v**2 + 56*v + 22 - v**3 - 272*v = 0. Calculate v.
-11, -2, 1
Let w be (-3)/(-24) + (-213)/(-24). Suppose -91 + 55 = -w*s. Factor 8/3*h**3 + 1/3*h**5 + 4/3*h**2 + 0*h + 5/3*h**s + 0.
h**2*(h + 1)*(h + 2)**2/3
Let v be ((9/27)/((-2)/6))/(-1). Let j be -1 + -3 + 91/v. Find h, given that -30*h + 17*h + 15*h**4 + h**5 + 25*h + 12 + 69*h**3 - 22*h**5 - j*h**2 = 0.
-2, -2/7, 1
Factor 103*f**3 + 0*f**2 + 3*f**2 + 3*f**5 - 210*f**3 + 9*f**4 + 116*f**3.
3*f**2*(f + 1)**3
Solve 270*s - 170 + 1160*s**2 - 933*s - 54*s**3 - 262*s - 11*s**3 = 0 for s.
-2/13, 1, 17
Suppose -48*b = -59*b. Let z(w) = -5*w - 33. Let y be z(-7). What is i in b*i + 2/3*i**y - 2/3 = 0?
-1, 1
Let x = 70186/9 + -7798. Let n(r) be the first derivative of 4*r - x*r**3 + 5/3*r**2 - 1/6*r**4 - 17. Factor n(j).
-2*(j - 2)*(j + 1)*(j + 3)/3
Let k(m) be the third derivative of -m**7/560 + 175*m**6/16 - 459375*m**5/16 + 669921875*m**4/16 - 586181640625*m**3/16 - 549*m**2 - 6. Factor k(y).
-3*(y - 875)**4/8
Let b(l) be the second derivative of -l**7/1120 - l**6/80 - l**5/20 + 2*l**3/3 - 30*l. Let y(u) be the second derivative of b(u). Factor y(x).
-3*x*(x + 2)*(x + 4)/4
Suppose 180 = -59*q + 68*q. Suppose -4*t = -r + t - q, 5*r = -t + 4. Factor r - 6/5*f + 1/5*f**3 + f**2.
f*(f - 1)*(f + 6)/5
Let l = 25243/2 + -100969/8. Determine y so that l*y**5 - 3*y**2 + 3/4*y**4 + 15/8*y + 9/4 - 9/4*y**3 = 0.
-3, -1, 1, 2
Let -2*b**5 + 957971*b**3 - 957970*b**3 + 2*b**4 + b**5 - 2*b**2 = 0. Calculate b.
-1, 0, 1, 2
Solve 100920*b + 2/15*b**4 + 101152*b**2 + 3482/15*b**3 + 0 = 0.
-870, -1, 0
Factor 1144*p - 2/9*p**4 - 1436/9*p**2 - 3042 + 88/9*p**3.
-2*(p - 13)**2*(p - 9)**2/9
Let z(a) be the first derivative of a**5/5 - 80*a**4 + 25600*a**3/3 + 3054. Factor z(f).
f**2*(f - 160)**2
Solve -4250 + 569*b - 274*b - 5686*b**3 - 150*b**2 + 5684*b**3 + 1355*b = 0.
-85, 5
Let x(u) = -177 - 448*u**2 + 447*u**2 + 74*u - 11*u. Let y be x(3). Find l, given that 2/7*l**y + 0 + 0*l + 18/7*l**2 = 0.
-9, 0
Let v(h) = 7*h**4 - 13*h**3 + 5*h**2 - 4*h + 5. Let a(g) = 4*g**2 - 14*g**3 - 5 + 8*g**4 + 14 - 4*g - 3. Let m(c) = 5*a(c) - 6*v(c). Factor m(q).
-2*q*(q - 2)*(q - 1)**2
Let y(r) = -r**3 - 21*r**2 + 24*r + 49. Let p be y(-22). Factor z**5 + 16*z**3 - p*z**5 - 14*z**3 + 8*z**2 + 10*z**3.
-4*z**2*(z - 2)*(z + 1)**2
Suppose 0 = -2*z + 8 + 2. Suppose -9 = -z*o + 6. Factor 40*g - 32 + 0*g**o + 8*g**2 + 23*g - 15*g - 12*g**3.
-4*(g - 2)*(g + 2)*(3*g - 2)
Determine t, given that 1 + 7/4*t**2 - 4*t = 0.
2/7, 2
Suppose 0 = -2*u + 36 - 32. Solve u*q**4 - 4*q**2 + 4*q + q**2 - 10*q + q**4 + 6*q**3 = 0.
-2, -1, 0, 1
Let s(x) = -x**2 - 3*x + 8. Let b(j) = -4*j**2 + 588*j - 1748. Let m(c) = b(c) - 2*s(c). Factor m(v).
-2*(v - 294)*(v - 3)
Let m(b) be the second derivative of b**7/252 - b**6/45 - 59*b**5/120 - 89*b**4/36 - 53*b**3/9 - 22*b**2/3 - 354*b. Find d such that m(d) = 0.
-2, -1, 11
Let c be 57*(-15)/(-36)*4. Let y = c - 92. Solve -w**4 - 16*w**2 - 3*w + 17*w**2 + y*w**3 + 0*w = 0.
-1, 0, 1, 3
Let z(o) = 18229*o**2 - 538*o + 4. Let i be 32/48 - (-22)/(-6). Let n(j) = -18231*j**2 + 537*j - 4. Let r(f) = i*z(f) - 2*n(f). Let r(v) = 0. Calculate v.
2/135
Find t such that -9*t**2 - 3/4*t**3 + 147/2 - 63/4*t = 0.
-7, 2
Let s(l) = 5*l**2 - 23*l - 104. Let w(b) = 9*b**2 - 38*b - 210. Let a(h) = 7*s(h) - 4*w(h). Factor a(r).
-(r - 7)*(r + 16)
Let w = 42248/16899 + -1/33798. Let n(x) be the second derivative of -w*x**3 - 19*x - 9/20*x**5 + 0*x**2 + 1/10*x**6 - 9/4*x**4 + 0. Factor n(l).
3*l*(l - 5)*(l + 1)**2
Suppose 4*k - 88 = -8052*y + 8057*y, 5*k = -3*y - 38. Solve -4/7*j**k - 112 + 16*j = 0.
14
Suppose -39*f = -44*f + 245. Factor 4 - 264*i**2 + 176*i + 20*i**3 + 13 + 100*i**4 - f.
4*(i - 1)*(i + 2)*(5*i - 2)**2
Let b = -32299/2 + 15858. Let i = 292 + b. Let 0 + 0*t + i*t**2 = 0. What is t?
0
Let f(u) be the first derivative of 5*u**3/6 + 237*u**2/4 + 47*u - 652. Let f(a) = 0. What is a?
-47, -2/5
Let a be 95/20 - 1 - (-2)/8. Suppose 6*z - a*z = 6. Factor -123*l + 123*l - 12*l**2 - 7*l**z + 3*l**3.
-4*l**2*(l + 3)
Suppose 7*f + 322 = 329. Let n(s) = -33*s**3 + 35*s**2 - 6*s - 1. Let w(r) = 3*r**3 - r**2 + 2*r + 1. Let t(d) = f*w(d) + n(d). What is g in t(g) = 0?
0, 2/15, 1
Let o be (210/5775)/((1/48*8)/5). Let 2/11*g**3 + 16/11 + 2/11*g**4 - o*g**2 - 8/11*g = 0. Calculate g.
-2, 1, 2
Let 3683/2*l**2 - 32*l**3 - 2*l**4 + 3729/2*l + 468 = 0. Calculate l.
-39, -1/2, 24
Let t(x) = -7*x**4 + 22*x**3 + 52*x**2 - 206*x - 513. Let q(w) = 16*w**4 - 44*w**3 - 105*w**2 + 414*w + 1026. Let r(g) = -4*q(g) - 9*t(g). Factor r(b).
-(b - 3)*(b + 3)**2*(b + 19)
Let t = -4476 - -17909/4. Factor 3/2 - 1/4*s**2 + t*s.
-(s - 6)*(s + 1)/4
Factor -4030*r**2 + 1801*r**2 + 2239*r**2 + 195*r - 100.
5*(r + 20)*(2*r - 1)
Suppose -24*j + 25 = -29*j, f + 5*j = -24. Let x(l) be the first derivative of f - 1/14*l**6 - 3/35*l**5 + 3/28*l**4 + 1/7*l**3 + 0*l**2 + 0*l. Factor x(t).
-3*t**2*(t - 1)*(t + 1)**2/7
Let a(t) be the second derivative of -t**8/30240 + t**7/11340 - t**4/4 - 5*t**2/2 - 95*t. Let r(y) be the third derivative of a(y). Factor r(g).
-2*g**2*(g - 1)/9
Let b(m) be the second derivative of 5*m + 1/6*m**3 + 5 + 0*m**2 - 1/24*m**4. Factor b(q).
-q*(q - 2)/2
Determine p so that -303*p**2 + 12*p + 104*p**2 - 15 + 202*p**2 = 0.
-5, 1
Let u be (4 - (-2480)/(-616))*-14. Let v(l) be the second derivative of 1/66*l**4 + 0 + 0*l**3 - u*l**2 - 25*l. Find y, given that v(y) = 0.
-2, 2
Let w(d) be the second derivative of -d**4/30 + 43*d**3/15 + 138*d**2/5 - 5707*d. What is m in w(m) = 0?
-3, 46
Let o(h) be the first derivative of h**4/36 - 590*h**3/27 + 87025*h**2/18 + 1169. Find k, given that o(k) = 0.
0, 295
Let v(a) be the first derivative of -a**5/4 - 55*a**4/8 + 30*a**3 - 185*a**2/4 + 125*a/4 - 134. Factor v(z).
-5*(z - 1)**3*(z + 25)/4
Let t(j) = 2*j**3 + 1. Let l(b) = 75*b**3 - 35*b + 65. Let h be 2/(-19) + (-138)/456*-116. Let d(p) = h*t(p) - l(p). Suppose d(n) = 0. Calculate n.
-3, 1, 2
Let q(v) be the second derivative of v**4/24 - 175*v**3/12 + 87*v**2/2 - 4548*v. Factor q(a).
(a - 174)*(a - 1)/2
Let r(x) be the second derivative of 1/27*x**3 - 11/9*x**2 - 1/90*x**5 - 3 + 11/54*x**4 + 16*x. Factor r(b).
-2*(b - 11)*(b - 1)*(b + 1)/9
Suppose 5*r + 28*c - 30 = 24*c, 4*r + c - 13 = 0. Let x(j) be the first derivative of 0*j - 24 + 3/4*j**4 - 3/2*j**r + 0*j**3. What is u in x(u) = 0?
-1, 0, 1
Suppose -11*i = 46*i - i. Solve 4/9*k**4 + 0*k**3 + 0 + i*k**2 + 2/9*k**5 + 0*k = 0.
-2, 0
Let w(y) be the second derivative of -y**6/150 - 17*y**5/100 - 11*y**4/20 + 233*y**3/30 - 91*y**2/5 - 1557*y. Suppose w(t) = 0. Calculate t.
-13, -7, 1, 2
Let x = -68725774/33 + 485890475423/233310. Let l = -1/1414 - x. Determine q, given that 18/5 - 2/5*q**2 - l*q = 0.
-9, 1
Determine s, given that 141*s**3 - 567/4*s**2 + 0 + 0*s + 3/4*s**4 = 0.
-189, 0, 1
Let r(d) be the first derivative of 6*d**2 - 31 + 0*d + d**4 + 4/5*d**5 - 20/3*d**3. Solve r(o) = 0 for o.
-3, 0, 1
Let m(x) = -2*x**3 + 3*x**2 + 64*x - 4. Let z be m(-5). Factor -3/4*g**2 + z + g - 1/4*g**4 - g**3.
-(g - 1)*(g + 1)*(g + 2)**2/4
Let t = -143213/3 - -429643/9. Let 122/9*s - t*s**4 + 22/9*s**3 + 112/9*s**2 + 4 = 0. What is s?
-2, -1, -1/2, 9
Let k = 107/400 - -133/400. Find r such that 4/5*r + k + 1/5*r**2 = 0.
-3, -1
Suppose -30*h - 289 = -19. Let o be 3/h - 1/(-6)*2. Factor -10/3*l**2 + 0*l - 20/3*l**4 + o - 5/3*l**5 - 25/3*l**3.
-5*l**2*(l + 1)**2*(l + 2)/3
Suppose 596/3*x + 595/3 + 1/3*x**2 = 0. Calculate x.
-595, -1
Let d be 432/((-11)/((-33)/(-18))*(-2)/((-48)/(-15))). Factor 648/5 + 2/5*c**3 - 14*c**2 + d*c.
2*(c - 18)**2*(c + 1)/5
Let j = 33 + -31. Suppose -2*a + 6 = j*u, 21*u - 23*u = -2. Factor 2 + 4/3*d + 2/9*d**a.
2*(d + 3)**2/9
Let y(h) = -3*h**2 - 310*h - 8427. Let a(z) = -30*z**2 - 3102*z - 84270. Let g(x) = -4*a(x) + 39*y(x). Let g(i) = 0. Calculate i.
-53
Let y(q) be the second derivative of -q**6/90 - 29*q**5/60 + 5*q**4/4 - q**3/3 + 75*q**2 - 165*q + 1. Let j(c) be the second derivative of y(c). Factor j(i).
-2*(i + 15)*(2*i - 1)
Let z(p) = -9*p + 115. Let t be z(8). Factor 5*u + t*u**3 + 30*u**2 + 171*u - 39*u**3 - 160 - 86*u**2.
4*(u - 10)*(u - 2)**2
Let w(d) be the second derivative of 5*d**7/42 - d**6/2 - 129*d**5/4 + 1315*d**4/12 - 110*d**3 - 675*d. Find y such that w(y)