.
t**3*(3*t + 2)*(5*t + 64)
Let h(y) = y - 3. Let x be h(5). Factor -6*t**3 + 7*t**3 + 7*t**4 + 6*t**x - 9 - 4*t**4 + 12*t - 13*t**3.
3*(t - 3)*(t - 1)**2*(t + 1)
Let h = 2324626/11 + -211328. Determine x, given that -18/11*x**5 + 18/11*x**4 - h*x**2 + 26/11*x**3 + 0 - 8/11*x = 0.
-1, -1/3, 0, 1, 4/3
Suppose -y = 5*o - 35, -1 = -o + y - 0. Let v(u) = 12 - 17*u - 4*u**2 + 3*u**3 + 8*u - 2*u**2. Let f(i) = -i + 1. Let s(m) = o*f(m) - v(m). Factor s(c).
-3*(c - 2)*(c - 1)*(c + 1)
Factor 2/7*n**4 + 1482/7*n**2 + 10478/7*n + 26364/7 + 90/7*n**3.
2*(n + 6)*(n + 13)**3/7
Factor 16/7*p**2 + 0 + 2/7*p**3 + 2*p.
2*p*(p + 1)*(p + 7)/7
Find y such that 9*y**4 - 101*y**2 + 7*y**4 - 17*y**4 + 43*y**3 + 19*y**2 = 0.
0, 2, 41
Suppose 5*y = -5*b - 17 + 52, -2*b = -y + 1. Determine u, given that -15 + 62*u**2 - 167*u**2 - 54*u**b + 125*u**3 - 145*u - 166*u**2 = 0.
-1/5, 3
Let p(l) = 3*l**2 + 9161 + l**3 - 11*l - 9188 + 2*l**2. Let g be p(-6). Solve 16/9*z**2 - 16/9*z**4 + 8/9*z - 2/3*z**5 + 0 - 2/9*z**g = 0 for z.
-2, -1, -2/3, 0, 1
Suppose 45/2*w + 11/2*w**3 + 57/2*w**2 - 1/2*w**4 + 0 = 0. What is w?
-3, -1, 0, 15
Let t(a) be the first derivative of a**4/18 + 14*a**3/27 - 23*a**2/3 + 26*a - 487. Factor t(o).
2*(o - 3)**2*(o + 13)/9
Let t(w) = -1. Suppose 0 = 63*q - 74*q + 11. Let k(c) = -c**2 - 150*c - 5622. Let l(x) = q*k(x) + 3*t(x). What is r in l(r) = 0?
-75
Let r(u) = u + 13. Let p(c) = -c**3 + 6*c**2 + 7*c - 7. Let n be p(7). Let s be r(n). Find l, given that 12*l**2 - 3*l**2 + 3*l + s*l**3 + 3*l**3 + 3*l**4 = 0.
-1, 0
Let n(u) be the first derivative of u**4/8 + 3*u**3 - u**2/4 - 9*u + 765. Factor n(l).
(l - 1)*(l + 1)*(l + 18)/2
Let a = -137450 + 137450. Determine o so that a*o + 0 + 1/2*o**4 + 2*o**2 - 2*o**3 = 0.
0, 2
Let a(b) be the first derivative of 625/13*b**2 + 184 + 1/26*b**4 + 0*b - 100/39*b**3. Factor a(s).
2*s*(s - 25)**2/13
Let z(y) be the second derivative of -y**6/15 + y**5/10 + 9*y**4/2 + 9*y**3 - 54*y**2 + 6621*y. What is t in z(t) = 0?
-3, 1, 6
Let w be 11*((-513)/(-99) - 5). Suppose -3*c = c - 20. Factor -9*y**3 - y + 5*y**5 - 2*y**c + 24*y**w - 9*y**3 - 8*y.
3*y*(y - 1)**3*(y + 3)
Factor -1106*h - 726*h - 1045*h**2 - 209764 + 1041*h**2.
-4*(h + 229)**2
Let v be ((-104)/(-390))/(-1)*-35. Determine f so that -v*f + 4/3*f**2 + 40/3 = 0.
2, 5
Let r = 980 - 735. Let s be 28/r - (-22)/77. Factor 6/5*a - s*a**2 + 0.
-2*a*(a - 3)/5
Let d be ((-3)/24)/((-6)/126) - 150/400. Solve 39/4*n + 15/2 - 39/4*n**3 - 39/4*n**2 + d*n**4 = 0.
-1, -2/3, 1, 5
What is g in -2/17 - 727218/17*g**2 + 2412/17*g = 0?
1/603
Let w = 54 - 53. Suppose w - 3 = -n. Factor -16*l**3 + l**4 - 6*l**4 + 0*l**4 + l**4 - 16*l**n.
-4*l**2*(l + 2)**2
Factor -141*y**2 + 222*y**2 - 897*y**2 - 4*y**3 + 1701*y + 775*y - 1656.
-4*(y - 2)*(y - 1)*(y + 207)
Let o(t) be the second derivative of -t**7/3360 + t**6/240 - t**4/3 - t**3/6 - 19*t**2 - 160*t. Let d(w) be the second derivative of o(w). Factor d(h).
-(h - 4)**2*(h + 2)/4
Let f = -353 - -126. Let p = f - -1590/7. Suppose -p*r**3 - 2/7*r**2 + 2/7 + 1/7*r = 0. Calculate r.
-2, -1, 1
Let w be (-126)/(-840)*109432/3591. Let x = w + 2/5985. Determine a, given that -x*a + 4/7*a**2 + 4 = 0.
1, 7
Find u, given that -135*u**3 - 252 + 75/4*u**4 - 1284*u - 1692*u**2 = 0.
-6, -2/5, 14
Let j(p) be the second derivative of 0*p**3 + 1/270*p**5 + 1/108*p**4 - 25/2*p**2 + 25*p + 0. Let d(m) be the first derivative of j(m). Factor d(b).
2*b*(b + 1)/9
Let s be (2952/(-210) + 14)*(14 + -21). What is w in w - 1/5*w**4 - 1/5*w**3 + 3/5*w**2 + s = 0?
-1, 2
Let k(w) = 15 - 41*w + 23*w - w**2 + 17*w. Let y(n) = n. Let v(u) = -4*k(u) + 4*y(u). Determine x so that v(x) = 0.
-5, 3
Let n(y) be the first derivative of 5*y + y**2 + 21 + 4/9*y**3 + 1/18*y**4. Let s(r) be the first derivative of n(r). Factor s(a).
2*(a + 1)*(a + 3)/3
Suppose 21 = -4*f + 5*b, 3*f + 2*b = -0 - 10. Let y be f - -4 - 14/(-7). Factor -6*o - 14/3*o**y - 4/3.
-2*(o + 1)*(7*o + 2)/3
Let b(w) be the third derivative of -w**7/10 - 31*w**6/40 - 2*w**5 - 3*w**4/2 - 207*w**2. Factor b(i).
-3*i*(i + 2)**2*(7*i + 3)
Let n = -102 + 108. Suppose 4*f**4 + 5*f**4 - n*f**4 - 4*f**2 + f**2 = 0. What is f?
-1, 0, 1
Let m(r) be the first derivative of r**6/30 - 4*r**5/25 - 21*r**4/20 - 2397. Factor m(g).
g**3*(g - 7)*(g + 3)/5
Let i = 127632 - 127630. Factor -7 - 11/4*u - 1/4*u**i.
-(u + 4)*(u + 7)/4
Let o = 5 + -3. Suppose -r + 12 = 23*f - 24*f, -1 = -3*r - 4*f. Let -d**2 + d - 3*d**2 - r*d + d**o = 0. What is d?
-2, 0
Factor -6*o**2 - 53*o + 42 - 3*o**2 - 5*o**2 + o**3 - 2*o**2 + 26*o**2.
(o - 3)*(o - 1)*(o + 14)
Factor -12*z**3 + 44/3*z**2 + 14/3*z**4 + 2 - 2/3*z**5 - 26/3*z.
-2*(z - 3)*(z - 1)**4/3
Let p(j) be the second derivative of -5/2*j**3 + 0 + 0*j**2 + 1/4*j**5 - 5/6*j**4 - 76*j. Factor p(a).
5*a*(a - 3)*(a + 1)
Let -65025/2 - 1/2*x**2 - 255*x = 0. Calculate x.
-255
Let r(k) be the first derivative of 9*k**4/8 + 244*k**3/3 + 1485*k**2/4 + 153*k + 2243. Suppose r(y) = 0. What is y?
-51, -3, -2/9
Let s(d) be the second derivative of d**7/6720 + 7*d**6/1920 + d**5/32 - d**4/12 - 20*d**2 - 153*d. Let r(u) be the third derivative of s(u). Factor r(j).
3*(j + 2)*(j + 5)/8
Suppose -35 - 258 = -241*a + 189. Find p, given that -24/7*p**a + 88/7*p**3 - 64*p - 2*p**4 + 128/7 = 0.
-2, 2/7, 4
Let s(k) = -3. Let w(d) = 14. Let j(a) = 9*s(a) + 2*w(a). Let h(f) = 5*f**2 - 235*f + 6. Let i(t) = -h(t) + 6*j(t). Factor i(z).
-5*z*(z - 47)
Let r(x) be the third derivative of 0 - 331*x**2 + 0*x + 10/3*x**4 + 19/24*x**6 + 5/336*x**8 - 10/3*x**3 - 25/12*x**5 - 1/6*x**7. Factor r(g).
5*(g - 2)**2*(g - 1)**3
Find q such that 55*q**2 - 35*q**2 - 19*q**2 + 156*q - 309 - 56*q = 0.
-103, 3
Let a be 47 + -51 - ((-28720)/(-78))/(-4). Let z = a + -876/13. Find y such that 350/9*y**4 + 110/9*y**3 - 4/9 + 50/9*y - z*y**2 = 0.
-1, 1/5, 2/7
Let q(a) be the second derivative of -a**6/180 - 7*a**5/60 - 25*a**3/6 - 8*a. Let l(v) be the second derivative of q(v). What is s in l(s) = 0?
-7, 0
Let k(y) be the first derivative of 2*y**6/15 + 12*y**5/5 + 59*y**4/5 + 44*y**3/5 - 216*y**2/5 + 9114. Solve k(x) = 0.
-9, -4, -3, 0, 1
Let f = 1590 + -1582. Let l(z) be the first derivative of -6*z**2 - 4*z + 7/3*z**3 + f. Factor l(j).
(j - 2)*(7*j + 2)
Let v(n) be the third derivative of 120*n**2 + 1/490*n**7 + 0*n**3 - 5/14*n**4 + 0 - 4/35*n**5 - 1/280*n**6 + 0*n. Factor v(i).
3*i*(i - 5)*(i + 2)**2/7
Let s = -23/5 + 5. Let n be ((-3)/((-9)/(-7)))/(30212/(-25896)). Solve 0*m + s*m**n - 2/5 = 0 for m.
-1, 1
Let m = 185 + -221. Let k be 16/m*(-9)/2. Factor -2/15*f**4 + 2/15*f - 2/15*f**3 + 0 + 2/15*f**k.
-2*f*(f - 1)*(f + 1)**2/15
Suppose f - 188 = 2*y, -44 + 236 = f - y. Let c = 793/4 - f. Factor -9/4*h**2 + 3/4*h + c*h**3 - 3/4*h**4 + 0.
-3*h*(h - 1)**3/4
Let l(q) be the second derivative of -13*q + 0 - 1/96*q**4 - 3/16*q**2 + 1/160*q**5 - 5/48*q**3. Factor l(j).
(j - 3)*(j + 1)**2/8
Suppose 3*u + 532 = 538. Determine v, given that 5 - 98*v**u - 22*v**2 - 6*v**3 - 5 + 2*v**3 = 0.
-30, 0
What is t in 840 + 5168/5*t**2 - 1636*t + 136/5*t**4 - 4/5*t**5 - 264*t**3 = 0?
1, 2, 5, 21
Let y(n) be the second derivative of 1/50*n**5 + 4/15*n**4 - 3 + n - 8/5*n**2 - 1/15*n**3. Factor y(f).
2*(f - 1)*(f + 1)*(f + 8)/5
Let t(g) = -34*g**3 - 191*g**2 - 146*g + 11. Let l(n) = 12*n**3 + 64*n**2 + 48*n - 4. Let b(d) = 11*l(d) + 4*t(d). Find k such that b(k) = 0.
-14, -1, 0
Let 13/4*t**5 - 297*t**2 - 81*t - 48*t**4 + 891/4*t**3 + 0 = 0. Calculate t.
-3/13, 0, 3, 6
Suppose 5*n + 51 = 121. Suppose -n*k**3 - 9*k**3 - 22*k**2 + 5*k**3 - 4*k**4 + 8 = 0. Calculate k.
-2, -1, 1/2
Let u(s) be the first derivative of s**7/168 + s**6/9 + 17*s**5/24 + 25*s**4/12 - 59*s**3/3 - s**2 + 59. Let f(g) be the third derivative of u(g). Factor f(r).
5*(r + 1)*(r + 2)*(r + 5)
Let t(r) = 2 + 4*r**3 + 14 - 6*r + 2 + 10*r**2. Let x(y) = y**3 + y**2 - y + 3. Let u(v) = -2*t(v) + 12*x(v). Solve u(w) = 0.
0, 2
Factor -6164*i + i**4 + 4232 + 76*i**3 + 13*i**3 + 134561*i**2 - 132719*i**2.
(i - 2)*(i - 1)*(i + 46)**2
Suppose -2*i - r = 1216, i + 5*r = -114 - 503. Let m = -604 - i. Factor 0 + 0*q + 3/2*q**2 + 9/4*q**m - 15/4*q**4.
-3*q**2*(q - 1)*(5*q + 2)/4
Determine z, given that 224/3*z + 4/3 + 1351/3*z**3 - 489*z**2 + 3038/3*z**4 = 0.
-1, -1/62, 2/7
Factor 0 + 2/3*o**4 - 8*o**