**4 - i**2 = 0. Calculate i.
-3, -1, 0, 2
Let n(v) be the first derivative of 63*v**5/20 - 19*v**4/2 + 19*v**3/2 - 3*v**2 - 153*v - 95. Let h(t) be the first derivative of n(t). Factor h(r).
3*(r - 1)*(3*r - 2)*(7*r - 1)
Let u be (52/(-13))/48*90/(-4). Let r = -41/24 + u. Factor -13/6*i**2 - 2*i - r*i**4 - 2/3 - i**3.
-(i + 1)**2*(i + 2)**2/6
Suppose -3*k = -n - 5, 5 - 10 = k - 2*n. Suppose 2*s = x - 6, k*x - 10*s - 3 = -9*s. Suppose -3*b**4 + 0*b + x - 3/2*b**2 + 9/2*b**3 = 0. Calculate b.
0, 1/2, 1
Factor -2/3*x**2 + 1936*x - 1405536.
-2*(x - 1452)**2/3
Let u = 138 + -138. Let z(o) be the second derivative of u + 1/14*o**3 - 3/140*o**5 + 0*o**4 + 0*o**2 - 8*o. Factor z(s).
-3*s*(s - 1)*(s + 1)/7
Let b(c) = 2*c**3 + c**2 - c. Let x(l) = 5*l**4 - 27*l**3 - 726*l**2 - 2694*l. Let m(a) = -6*b(a) - x(a). Factor m(v).
-5*v*(v - 15)*(v + 6)**2
Let c(o) = -3 - 10*o**2 - 4 + 5 + 10*o. Suppose -243*b = -231*b + 48. Let i(k) = -k**3 - k**2 + 1. Let x(q) = b*i(q) + 2*c(q). Let x(w) = 0. What is w?
1, 2
Let r(d) = 4*d**2 - 24*d + 96. Let a be r(6). Let o be 1/((18/a*4)/1). Factor 4/9*z**3 + 4/3*z**2 + 4/9 + o*z.
4*(z + 1)**3/9
What is p in 919932*p**3 + 4*p**5 - 16*p**2 + 2*p + 10*p**4 - 919938*p**3 + 6*p = 0?
-2, 0, 1/2, 1
Find s, given that 0*s**3 - 6152*s - 102 + 664*s**2 + 191*s**2 - 186 + 172*s**3 + 13*s**2 = 0.
-9, -2/43, 4
Let m(v) be the first derivative of -83*v**4/8 - 251*v**3/6 - 43*v**2 - 2*v - 1599. Suppose m(l) = 0. Calculate l.
-2, -1, -2/83
Suppose 95*s - 22 = 94*s. Suppose -96*w + 3*w**2 + 161*w - s*w**2 - 11*w**2 - 10 - 225*w**3 = 0. What is w?
-2/3, 1/5, 1/3
Let k(t) = -38*t**2 - 909*t + 2978. Let f(y) = -9*y**2 - 228*y + 744. Let u(d) = 13*f(d) - 3*k(d). Determine v so that u(v) = 0.
-82, 3
Solve -31*k**3 - 36*k**3 - 9 + 9 + 62*k**3 + 31*k**2 - 6*k = 0 for k.
0, 1/5, 6
Let g be (2*34/16)/((-21)/(-84)). Find w such that -13*w + 980 - g*w + 5*w**2 + 96*w + 74*w = 0.
-14
Suppose 6*o - 5*h = 9*o - 64, -4*h + 8 = 0. Let b be (84/(-56))/(o/(-8)). Factor -b*q - 1/3*q**2 - 2/3*q**4 + 5/3*q**3 + 0.
-q*(q - 2)*(q - 1)*(2*q + 1)/3
Suppose 3*d = 3*z - 62 - 40, -98 = -3*z + 2*d. Find i, given that -64*i + 3*i**2 - z*i + 5*i - 32*i + 4*i = 0.
0, 39
Let p(j) be the third derivative of j**5/210 - 29*j**4/84 - 44*j**3/7 + 75*j**2 - 7*j. Determine k so that p(k) = 0.
-4, 33
What is k in -1003*k**2 + 999*k**2 - 244*k - 28 + 28 = 0?
-61, 0
Let p(h) be the first derivative of -14*h**6/15 + 3424*h**5/25 + 297*h**4 + 1496*h**3/15 - 496*h**2/5 - 4343. Suppose p(i) = 0. What is i?
-1, 0, 2/7, 124
Suppose -7*q = 26*q - 7260. Let m = 222 - q. Factor -8/3*o**m + 0 - 2*o - 2/3*o**3.
-2*o*(o + 1)*(o + 3)/3
Let y(q) = 4*q**2 + 55*q + 838. Let i(h) = 23*h**2 - 31*h - 25*h - 839 + 22*h**2 - 48*h**2. Let b(a) = 6*i(a) + 4*y(a). Suppose b(d) = 0. Calculate d.
-29
Let l(n) be the second derivative of -n**4/84 - 9*n**3/2 + 191*n**2/7 - 1941*n. Factor l(t).
-(t - 2)*(t + 191)/7
Suppose 238/9*f + 50/9*f**2 + 2/9*f**3 + 190/9 = 0. Calculate f.
-19, -5, -1
Let i(k) be the first derivative of 3*k**4/4 + 32*k**3 + 462*k**2 + 2352*k + 1618. Factor i(t).
3*(t + 4)*(t + 14)**2
Let m be (-36)/(-78)*(352/(-18) - -21). Factor 50/3 - m*l**2 - 16*l.
-2*(l - 1)*(l + 25)/3
Let t(u) = -78*u + 3047. Let i be t(39). Let r(p) be the first derivative of 16/5*p**5 - 28/3*p**3 + 4*p**4 + 14 + 12*p - p**6 - i*p**2. Solve r(z) = 0 for z.
-1, 2/3, 1, 3
Let g(f) be the second derivative of 0 - 69*f - 3/11*f**3 + 18/11*f**2 - 1/33*f**4. Factor g(z).
-2*(z + 6)*(2*z - 3)/11
Let x(s) be the third derivative of -s**8/112 + 79*s**7/630 - 23*s**6/40 + 193*s**5/180 - s**4/2 - 10*s**3/9 + 832*s**2. Let x(q) = 0. What is q?
-2/9, 1, 2, 5
Let r(o) be the third derivative of 5/51*o**3 - 7/510*o**5 + 0 + 1/102*o**4 - 105*o**2 + 0*o. Factor r(y).
-2*(y - 1)*(7*y + 5)/17
Let s be (-19329)/(-6822) - (-10)/(-3)*5/20. Factor 6/5*o + 0 + 93/5*o**s.
3*o*(31*o + 2)/5
Let o be 14/6 - (-2 + (-49)/(-21)). Let b be (-1 + o)/((-2)/(-62)). Factor -10 - 5*p + 21*p - 20*p**2 - 30*p - b*p.
-5*(p + 2)*(4*p + 1)
Let w(n) be the third derivative of -n**6/120 + 137*n**5/30 - 1541*n**4/2 - 6348*n**3 + 7*n**2. Find h such that w(h) = 0.
-2, 138
Let j(d) = -3*d**3 - 284*d**2 + 9425*d + 109522. Let n(m) = m**3 + 143*m**2 - 4706*m - 54760. Let w(f) = 4*j(f) + 10*n(f). Suppose w(c) = 0. What is c?
-9, 78
Let d(w) be the third derivative of -w**5/210 - 155*w**4/28 + 466*w**3/21 + 2201*w**2. Factor d(b).
-2*(b - 1)*(b + 466)/7
Let y(g) = -g**2 - 14*g - 21. Let s be y(-12). Let c = -104399 - -417601/4. Solve -c*b**s - 155/4*b + 75/4 + 85/4*b**2 = 0 for b.
1, 15
Let t(l) be the first derivative of -9*l**4/2 + 104*l**3/3 - 33*l**2 - 20*l - 530. Suppose t(m) = 0. What is m?
-2/9, 1, 5
Let h(m) be the first derivative of -m**6/4 - 24*m**5/5 - 9*m**4/2 + 23*m**3 + 39*m**2/4 - 45*m - 677. Suppose h(j) = 0. Calculate j.
-15, -2, -1, 1
Let w(z) be the second derivative of -z**7/14 + z**6 - 9*z**5/5 - 18*z**4 - 57*z - 6. What is c in w(c) = 0?
-2, 0, 6
Let 127*w**3 + 3*w**3 + 2700*w + 1432*w**2 + 5748*w - 70*w**3 - 1169 + 17 = 0. Calculate w.
-12, 2/15
Let y(x) be the second derivative of 3*x**7/14 - x**6/8 - 97*x**5/40 - 223*x**4/48 - 23*x**3/6 - 3*x**2/2 - 855*x. Find p such that y(p) = 0.
-1, -2/3, -1/4, 3
Let i(q) be the first derivative of -2*q**3/27 + 163*q**2/9 - 2152. Suppose i(l) = 0. What is l?
0, 163
Suppose -19*o = -11*o + 408. Let a = 41 - o. Factor a*d - 34 - 180*d**2 + 4*d**4 - 6 + 120*d**2 + 4*d**3.
4*(d - 2)*(d - 1)**2*(d + 5)
Let x(c) be the first derivative of 8/7*c**2 - 53 - 10/21*c**3 + 1/14*c**4 - 8/7*c. Factor x(f).
2*(f - 2)**2*(f - 1)/7
Suppose -2*w - 2 = -3*d, 107*w + 4 = 105*w + 4*d. Find y, given that -1/8*y**4 - 13/8*y**3 + 13/8*y - 11/8*y**w + 3/2 = 0.
-12, -1, 1
What is w in 6*w**4 - 6075 + 4*w + 82*w**2 - 6074 + 12101 - 44*w**3 = 0?
-2/3, 1, 3, 4
Let g(j) be the first derivative of 32*j + 5 - 8*j**3 - 156/5*j**5 - 119*j**4 + 312*j**2. Suppose g(h) = 0. Calculate h.
-2, -2/39, 1
Let i = -354 - -356. Find z, given that -3 + 17*z - 4*z**i - 21 + 3*z**2 - 33*z - z**2 = 0.
-6, -2
Factor -140 + 265*u**2 - 5*u**3 - 215*u**2 - 21*u - 64*u.
-5*(u - 7)*(u - 4)*(u + 1)
Let x = -85410 + 1964470/23. Factor -200/23 + x*h - 2/23*h**2.
-2*(h - 10)**2/23
Find k such that -889*k**2 + 2769*k**2 - 993*k**2 - 5815*k - 882*k**2 = 0.
0, 1163
Let s(f) = -2*f**4 + 36*f**3 - 36*f**2 - 2907*f + 13122. Let g(w) = -w**4 + 18*w**3 - 16*w**2 - 1454*w + 6561. Let a(n) = 18*g(n) - 8*s(n). Factor a(j).
-2*(j - 9)**3*(j + 9)
Suppose q - 6 + 3 = 0. Let y be 15*(-51)/(-252) + (7 - (-651)/(-84)). Determine z so that -2*z**2 - 2/7*z**q - y*z + 32/7 = 0.
-4, 1
Let g(f) = f**2 + 18*f - 13. Let w(o) = -40 + 4*o**2 + 55*o + o**2 - o**2 + o**2. Let l(h) = -10*g(h) + 3*w(h). Determine j so that l(j) = 0.
1, 2
Let g be (-1)/(-5)*(-25)/(-10). Suppose -7 = -3*k + 2*m - 1, 5*k - 10 = -3*m. Factor 1 + g*x**3 + k*x**2 + 5/2*x.
(x + 1)**2*(x + 2)/2
Let y(a) = 22*a**2 - 10*a + 20. Let u be y(2). Factor 62*o**3 - 160 - 12*o**3 - 180*o**2 + 192*o - 5*o**4 + u*o.
-5*(o - 4)*(o - 2)**3
Let k(u) = 53*u**2 + 284*u + 3920. Let z(f) = -65*f**2 - 285*f - 3920. Let s(i) = 5*k(i) + 4*z(i). Factor s(d).
5*(d + 28)**2
Let i = 1910 - 1906. Let b(y) be the first derivative of 0*y**2 + 0*y**3 + 12 + 0*y + 2/15*y**6 + 1/5*y**i - 8/25*y**5. Find f such that b(f) = 0.
0, 1
Find b, given that -b**4 - 16 + 21304*b**2 - b + b**3 - 21287*b**2 + 5*b**3 - 5*b = 0.
-2, -1, 1, 8
Let q(t) = 28*t**2 + 32*t - 6. Suppose -5*j = -6 - 19, -n + 15 = 4*j. Let l(s) = -57*s**2 - 63*s + 12. Let g(y) = n*l(y) - 9*q(y). Solve g(h) = 0.
-1, 2/11
Let g(b) be the second derivative of 0*b**2 - 2*b - 3 + 0*b**3 + 1/30*b**5 - 1/9*b**4 + 1/45*b**6. Factor g(n).
2*n**2*(n - 1)*(n + 2)/3
Let o = 18149/90770 + 1/18154. Let i(w) be the first derivative of o*w**2 + 4/25*w**5 + 14 - 1/2*w**4 - 2/5*w + 2/5*w**3. Solve i(t) = 0 for t.
-1/2, 1
Let i = 2519 + -2519. Let v(m) be the second derivative of 0 + 2*m - 1/42*m**4 + i*m**2 - 2/21*m**3. Factor v(g).
-2*g*(g + 2)/7
Let v(p) be the second derivative of 3*p**5/40 - 6*p**4 + 93*p**3/4 - 69*p**2/2 + 2846*p. Factor v(y).
3*(y - 46)*(y - 1)**2/2
Find m, given that 512/5 + 1536/5*m + m**4 + 102/5*m**3 + 136*m**2 = 0.
-8, -4, -2/5
Let d be 260/52 + (2 - 42). Let a be (30