726*t**2 - 2*t + 1264. Factor l(d).
-4*(d + 363)*(3*d - 1)**2
Let h(w) = -37*w**3 - 5*w**2 + w - 2. Let i be h(1). Let n be (-57)/27 + (i - -46). Factor 0 + n*p**2 + 10/9*p**3 + 0*p.
2*p**2*(5*p + 4)/9
Factor 2058*s**2 + 1 - 903*s**2 - 376*s - 971*s**2 - 1 + 2*s**3.
2*s*(s - 2)*(s + 94)
Suppose 68*g - 12 = 64*g. Factor 3 - 76*h**3 + 3*h**5 - 81*h**2 - 27*h**4 - 3 + 157*h**g.
3*h**2*(h - 3)**3
Let s(y) = y**3 - 6*y**2 - 2*y + 27. Let f be s(3). Let q(n) = -n**3 - 24*n**2 - 114*n + 320. Let t(v) = v - 6. Let l(b) = f*t(b) + 2*q(b). Factor l(k).
-2*(k - 2)*(k + 13)**2
What is j in 24*j + 6/11*j**3 - 216/11 + 86/11*j**2 = 0?
-9, -6, 2/3
Let g(u) be the first derivative of u**6/120 - 17*u**5/20 + 289*u**4/8 + u**3/3 + 10*u + 86. Let a(m) be the third derivative of g(m). Factor a(h).
3*(h - 17)**2
Suppose 97 + 1 = 7*g. Factor i**3 + g*i**2 - i**2 - 29*i**2 - 5*i**3 + 44*i - 24.
-4*(i - 1)**2*(i + 6)
Let r = -3886/7 - -116587/210. Let g(d) be the third derivative of 1/75*d**6 + 1/30*d**4 + 0*d + 27*d**2 + 0*d**3 - 1/525*d**7 - r*d**5 + 0. Factor g(a).
-2*a*(a - 2)*(a - 1)**2/5
Suppose -6*w + 20 = -2*w, 15 = 5*c - 4*w. Suppose -c = -l - 4*r, l - 28 = -l - r. Factor i**2 - 2*i**2 + 6*i**2 + 5*i**3 + l - 25*i.
5*(i - 1)**2*(i + 3)
Let n(i) be the second derivative of i**6/270 - 13*i**5/45 + 121*i**4/54 - 166*i**3/27 + 47*i**2/6 + 377*i + 2. Find h, given that n(h) = 0.
1, 3, 47
Factor -458*x + 163*x**2 + 1104 - 86*x - 167*x**2.
-4*(x - 2)*(x + 138)
Let i(q) be the third derivative of -q**5/540 + 19*q**4/108 - 35*q**3/18 - 3782*q**2. Determine w, given that i(w) = 0.
3, 35
Factor -409*k**3 + 663*k**3 + k**4 - 293*k**3.
k**3*(k - 39)
Let x(w) = 5*w + 130. Suppose 8*d + 85 + 115 = 0. Let i be x(d). Find s such that -1/6*s**i + 0 + 0*s**3 + 0*s - 1/3*s**4 + 0*s**2 = 0.
-2, 0
Let z(k) be the first derivative of -26/5*k - 5*k**2 - 80 - 22/15*k**3 + 1/10*k**4. Factor z(n).
2*(n - 13)*(n + 1)**2/5
Let b(x) be the third derivative of 0*x - 1/105*x**7 - 12*x**3 + 5*x**4 - 119*x**2 + 1/6*x**6 - 37/30*x**5 + 0. Factor b(u).
-2*(u - 3)**2*(u - 2)**2
Determine l so that -98 + 82 - 20*l - 56 + 16*l - 4*l**2 + 150*l = 0.
1/2, 36
Let o(d) = 3*d**3 - 15*d**2 - 24*d + 6. Let k(i) = 15*i**2 + 25*i + 0 + 2 + 8*i**3 - 7 - 2 - 12*i**3. Let n(a) = -6*k(a) - 7*o(a). Find r, given that n(r) = 0.
-3, -2, 0
Let u(h) = -13*h**3 + 7*h**2 - 18*h. Let b = -35 - -30. Let g(j) = -8*j**3 + 5*j**2 - 12*j. Let a(v) = b*u(v) + 8*g(v). Determine o so that a(o) = 0.
-6, 0, 1
Find s, given that -8300/3*s + 5/3*s**4 - 130/3*s**3 - 685*s**2 - 9500/3 = 0.
-5, -2, 38
Solve -132/5*z**2 + 93/5*z + 3*z**3 + 24/5 = 0.
-1/5, 1, 8
Factor -5736*u**2 + 30*u - 2*u**3 - 5736*u**2 + 11468*u**2.
-2*u*(u - 3)*(u + 5)
Factor 14*r + 7/4*r**2 - 1/4*r**3 - 33.
-(r - 11)*(r - 2)*(r + 6)/4
Determine g so that 71728*g**3 + 27686 - 405536*g**2 - 120795 + 4*g**5 - 163986 - 1048*g**4 - 52196 + 794624*g - 214997 = 0.
2, 128
Let l(z) be the first derivative of z**6/18 - 14*z**5/5 - z**4/6 + 28*z**3/3 + z**2/6 - 14*z - 97. Let l(j) = 0. What is j?
-1, 1, 42
Let o(l) be the third derivative of 13*l**6/40 + 8*l**5 + 191*l**4/8 + 22*l**3 + 2159*l**2. Let o(q) = 0. What is q?
-11, -1, -4/13
Solve 103*k + 8*k**2 - 700 + 3126412*k**3 - 3*k + 20*k**2 - 3126416*k**3 = 0.
-5, 5, 7
Let r(g) = 6*g**3 - 319*g**2 - 8743*g - 78742. Suppose -79 = 7*d - 114. Let n(q) = -8*q**3 + 318*q**2 + 8742*q + 78744. Let y(p) = d*n(p) + 6*r(p). Factor y(m).
-4*(m + 27)**3
Let a = 114295 + -114283. Determine z so that -a*z - 4/9*z**2 + 0 = 0.
-27, 0
Let u(h) = -5*h**2 + 158*h - 1439. Let d be -6 - (-1)/((-7)/35). Let b(n) = 10*n**2 - 318*n + 2879. Let t(y) = d*u(y) - 6*b(y). Solve t(c) = 0 for c.
17
Let x = 279113/21 - 13291. Let h(o) be the second derivative of 0 + 1/98*o**7 + 47/140*o**5 - x*o**6 + 18*o + 4/7*o**2 + 2/21*o**3 - 1/2*o**4. Factor h(b).
(b - 2)**3*(b - 1)*(3*b + 1)/7
Let z be 8/(-44) - 4/(176/(-228)). Let p(a) be the first derivative of -4*a**3 + 9 + 12/5*a**z + 0*a + a**4 + 2*a**2 - 4/3*a**6. Suppose p(f) = 0. What is f?
-1, 0, 1/2, 1
Let p(f) be the first derivative of 0*f + f**4 + 1/6*f**3 + 1/2*f**5 - 95 - 1/2*f**2. Let p(x) = 0. Calculate x.
-1, 0, 2/5
Suppose -251*a + 250*a + 2*p = 25, -2*p + 43 = 5*a. Find j, given that 60/7*j**2 - 4/7*j**a + 40/7 - 92/7*j - 4/7*j**4 = 0.
-5, 1, 2
Factor -4481*u**2 + 4484*u**2 - 75*u + 198 + 37 + 107.
3*(u - 19)*(u - 6)
Determine y, given that 346/5*y**4 + 334/5*y**2 - 1024/5*y - 136 + 1022/5*y**3 + 2/5*y**5 = 0.
-170, -2, -1, 1
Suppose 0 = -2*f - 4*s - 4, 2*f - 2*s = -5*s - 2. Factor -u**2 - 82 + 82 - 8*u + 2*u**f + 3*u**2.
4*u*(u - 2)
Let s(c) be the third derivative of c**8/56 + 101*c**7/105 - 161*c**6/20 + 141*c**5/10 + 46*c**4/3 - 76*c**3 + 42*c**2. Solve s(h) = 0.
-38, -2/3, 1, 3
Let h(o) be the second derivative of -o**6/3060 - o**5/204 + o**4/34 + 151*o**3/6 + o**2/2 + 263*o. Let c(m) be the second derivative of h(m). Factor c(w).
-2*(w - 1)*(w + 6)/17
Let g(o) be the second derivative of -o**5/80 + 11*o**4/8 - 125*o**3/24 - 24*o**2 + o - 1091. Determine t so that g(t) = 0.
-1, 3, 64
Let s(m) be the third derivative of -m**8/84 - 26*m**7/105 - 13*m**6/10 - 23*m**5/15 + 20*m**4/3 + 24*m**3 + 1277*m**2. Determine x so that s(x) = 0.
-9, -2, -1, 1
Let t(i) be the second derivative of -i**5/90 + 2*i**4/27 + 139*i**3/27 - 286*i**2/9 - 319*i + 5. Factor t(o).
-2*(o - 13)*(o - 2)*(o + 11)/9
Let m(k) be the third derivative of -k**7/105 - 7*k**6/30 + k**2 - 26. Factor m(g).
-2*g**3*(g + 14)
Let g(v) be the second derivative of -v**4/4 - 515*v**3/18 - 19*v**2 + 2858*v. Find t such that g(t) = 0.
-57, -2/9
Let s(x) be the third derivative of -x**5/20 + 347*x**4/8 - x**2 - 636*x. Factor s(k).
-3*k*(k - 347)
Suppose 19265943*a = 19266012*a. Factor 6*t - 1/2*t**4 - 6*t**3 + 1/2*t**2 + a.
-t*(t - 1)*(t + 1)*(t + 12)/2
Let p be ((-114)/152)/((-2)/72). Solve l**4 - p*l**3 + 160*l - 17 + 177 - 9*l**4 + 13*l**4 - 30*l**2 + 2*l**3 = 0 for l.
-2, -1, 4
Let r be 2074/(-51) - (-2)/(-6). Let y = r + 44. Determine f, given that 15*f**2 + 2*f**y + 6*f**3 - 4*f**3 - 3*f**2 - 16 = 0.
-2, 1
Factor 39*c + 118/3*c**2 + 0 + 1/3*c**3.
c*(c + 1)*(c + 117)/3
Let h(f) be the second derivative of -f**7/210 + 364*f**6/75 - 66611*f**5/50 + 22022*f**4/5 - 43923*f**3/10 - 2326*f. What is p in h(p) = 0?
0, 1, 363
Let h = -5571/7 - -133705/168. Let d(m) be the second derivative of 27*m + 0 + 0*m**2 + 0*m**4 + 0*m**6 - 1/40*m**5 + h*m**7 + 1/24*m**3. What is v in d(v) = 0?
-1, 0, 1
Let l(i) be the second derivative of -i**5/70 - 55*i**4/42 - 527*i**3/21 - 473*i**2/7 + 26*i + 6. Factor l(x).
-2*(x + 1)*(x + 11)*(x + 43)/7
Suppose 0 = 10*f - 19*f + 216. Factor -4*l**4 - f*l**3 + 325 - 325.
-4*l**3*(l + 6)
Let g be (3/(-2))/(14/(-140)). Let l be (-176)/(-12) + 20/g. Factor -l*p**3 - 17*p**3 - 7*p + 9*p**2 + p**4 + 2 - 15*p**3 + 43*p**3.
(p - 2)*(p - 1)**3
Let w = -43842 - -87685/2. Suppose 0 = 5*x + 2*v + 2*v - 8, 4*x - 3*v + 6 = 0. Let w*l**3 + x*l - 1/4 + 3/4*l**2 = 0. What is l?
-1, 1/2
Let j = -3 - -5. Let a = -1053 - -1055. What is w in w - 105*w**j + 207*w**2 + a - 103*w**2 = 0?
-1, 2
Let 0 + 6/5*c**2 + 0*c**4 - 7/5*c**3 + 0*c + 1/5*c**5 = 0. Calculate c.
-3, 0, 1, 2
Let b(a) = -2*a**2 + 276*a - 5648. Let i be b(25). Let 4/7*f**5 + 104*f**i + 288/7 + 324/7*f**3 + 64/7*f**4 + 752/7*f = 0. What is f?
-9, -2, -1
Let r be 3*(6 + 1 - (14 - 18)). Let a be (r/18 + -2)/((-30)/45). Factor a + 27/4*o**4 + 9*o**2 - 5/2*o - 27/2*o**3.
(o - 1)*(3*o - 1)**3/4
Let h(i) be the third derivative of i**7/70 + 33*i**6/20 - 67*i**5/20 - 7*i**2 + 3*i. Factor h(l).
3*l**2*(l - 1)*(l + 67)
Let y(j) be the second derivative of 5*j**7/14 - 233*j**6/15 + 29*j**5/20 + 31*j**4/6 + 324*j - 2. Solve y(v) = 0.
-1/3, 0, 2/5, 31
Let p = -470/407 + 27458/1221. Factor 0 - 4/3*i**5 - 20/3*i + p*i**2 + 32/3*i**4 - 24*i**3.
-4*i*(i - 5)*(i - 1)**3/3
Let y be 50 - ((8 - 13) + 7). Let s be 3/(-8) - (1482/y)/(-13). Factor 3/7*x**3 + 1/7*x - 4/7*x**s + 0.
x*(x - 1)*(3*x - 1)/7
Suppose 24 = 18*t - 6*t. Find m such that 16 - 12*m**t + 4 + 3*m**2 + 24*m + 13*m**2 = 0.
-5, -1
Let c(t) = 6*t**2 + 195*t - 176. Let l(q) = 4*q**2 + 196*q - 180. Let a(v) = -4*c(v) + 5*l(v). Let a(b) = 0. Calculate b.
1, 49
Let o(u) be the third derivative of 0 - 1/105*u**7 + 9*u - 1/20*u**