**2 + z**4 - 20*z**2 + z**5 + 2*z = 0.
-2, -1, 0, 1
Let l = -1231 + 1226. Let w be 18/l*(-20)/21. Solve 8/7 - 16/7*i**3 + w*i - 6/7*i**2 + 6/7*i**4 = 0 for i.
-1, -1/3, 2
Let x(d) be the first derivative of -d**7/630 + d**5/60 + d**4/36 + 2*d**2 - 6*d + 336. Let n(k) be the second derivative of x(k). Factor n(f).
-f*(f - 2)*(f + 1)**2/3
Factor 2428 + 680*i - 25548 + 14*i**2 - 9*i**2 - 10*i**2.
-5*(i - 68)**2
Suppose -33*q = -44*q. Let y(z) be the third derivative of 1/240*z**6 + 0*z - 1/420*z**7 + q - 1/12*z**4 + 0*z**3 - 10*z**2 + 1/30*z**5. Factor y(v).
-v*(v - 2)*(v - 1)*(v + 2)/2
Suppose 229*y - 224*y - 100 = 0. Factor 75*z**5 + 74*z - 220*z**4 - 2*z - 45*z - y*z**4 - 144*z**2 + 282*z**3.
3*z*(z - 1)**2*(5*z - 3)**2
Let s(g) = 4*g - 24. Let m be s(8). Solve 44*w**4 + m*w**2 + 2*w**3 - 4*w**3 - 46*w**4 + 8*w = 0.
-2, -1, 0, 2
Let n(c) be the third derivative of 3/4*c**4 + 1/15*c**6 + 37/30*c**5 + 0*c**3 + 0*c + 37*c**2 + 0. Factor n(q).
2*q*(q + 9)*(4*q + 1)
Let a(h) be the first derivative of 8/3*h - 4/15*h**5 + 4/3*h**3 + 86 - 1/3*h**4 + 10/3*h**2. Factor a(j).
-4*(j - 2)*(j + 1)**3/3
Let r(o) = 5*o**3 + o**2. Let d be r(1). Let i be -1*5 - (-2)/d*15. Let -4/5*f**4 + i*f**2 + 0*f + 0 - 2/5*f**5 + 0*f**3 = 0. What is f?
-2, 0
Let p(c) be the second derivative of 0*c**4 + 0*c**5 + 1/72*c**6 - 5/3*c**3 - 7*c + 0 + 0*c**2. Let g(t) be the second derivative of p(t). Factor g(j).
5*j**2
Let j(p) be the first derivative of p**6/120 - p**5/20 + p**4/12 - 63*p**2 + 57. Let d(i) be the second derivative of j(i). Factor d(m).
m*(m - 2)*(m - 1)
Find k, given that -68/11*k - 144/11 + 2/11*k**2 = 0.
-2, 36
Let t = 17 + 25. Factor -20*b - 94*b**2 + 34*b**3 + t*b**2 + 7*b**3 + 24 + 7*b**3.
4*(b - 1)*(3*b + 2)*(4*b - 3)
Let p(s) be the third derivative of 13*s**6/360 + 7*s**5/30 + s**4/6 - 7*s**3 - s**2 + 22. Let r(j) be the first derivative of p(j). Factor r(h).
(h + 2)*(13*h + 2)
Factor 64*b + 7*b**3 + 796*b + 110*b - 732 - b**3 - 8*b**3 - 236*b**2.
-2*(b - 3)*(b - 1)*(b + 122)
Let g(m) = 7*m - 65. Let k be g(10). Factor 2*b + 8*b**2 - 7*b**3 + k*b**3 - 12*b**2 + 4 + 0*b**2.
-2*(b - 1)*(b + 1)*(b + 2)
Factor 48 - 101 + 3*u**2 - 21 - 130 + 12.
3*(u - 8)*(u + 8)
Let d = 14 + -10. Suppose 4*o - 7 = 3*c, -5*c - 2*o + 3 = -5*o. Find b, given that b**3 - 9*b + c + d*b**2 + 5*b**2 - 2*b**3 - 2*b**3 = 0.
1
Factor -18/7*o**4 + 0 - 16/7*o**3 + 0*o + 0*o**2 - 2/7*o**5.
-2*o**3*(o + 1)*(o + 8)/7
Suppose -142*t + 111*t + 93 = 0. Let r(i) be the first derivative of -1/4*i**2 + 1/12*i**t - 1 + 1/4*i. Factor r(l).
(l - 1)**2/4
Let j(d) be the third derivative of d**7/315 + 53*d**6/90 - 107*d**5/90 - 265*d**2. Let j(z) = 0. What is z?
-107, 0, 1
Factor 33*m**2 + 5*m**4 + 29*m**2 - 78*m**3 - 2*m**4 + 78*m - m**4 - 64*m**2.
2*m*(m - 39)*(m - 1)*(m + 1)
Let z(o) = -6*o**4 + 118*o**3 - 696*o**2 + 1216*o - 583. Let k(x) = -x**4 + 8*x**3 + x**2 - 1. Let v(m) = 14*k(m) - 2*z(m). Factor v(f).
-2*(f - 8)*(f - 1)**2*(f + 72)
Let m(w) be the second derivative of 120*w + 0 + 1/21*w**4 + 50/21*w**3 + 0*w**2. Factor m(j).
4*j*(j + 25)/7
Factor -440/3*s**2 - 44944/3 - 12932/3*s - 4/3*s**3.
-4*(s + 4)*(s + 53)**2/3
Let -16*j**4 - 468/7*j + 736/7*j**2 - 36/7*j**3 + 72/7 = 0. Calculate j.
-3, 1/4, 3/7, 2
Let p(i) = -4*i**4 + 274*i**3 - 10062*i**2 + 36974*i - 35912. Let v(d) = -d**4 - d**3 - 2*d**2 - 5*d. Let n(j) = p(j) - 2*v(j). Suppose n(u) = 0. Calculate u.
2, 67
Let t = -39 + 31. Let i = 10 + t. Solve -y**5 + y**3 + 9*y**2 + y**i - 3*y**2 + y**4 - 8*y**2 = 0.
-1, 0, 1
Let b(j) = -j**3 + j**2. Let q(t) = -5*t**4 + 30*t**3 + 580*t**2 - 4250*t + 8125. Let s(h) = 20*b(h) + q(h). Factor s(g).
-5*(g - 5)**3*(g + 13)
Let s(b) = -5*b**3 - 20*b**2 + 44*b - 70. Let q(a) = -11*a**3 - 41*a**2 + 86*a - 141. Let f(d) = -6*q(d) + 13*s(d). Factor f(h).
(h - 8)*(h - 4)*(h - 2)
Suppose -5*d + 12 = 2. Factor -11*n + 67*n**d - 122*n**2 - 64*n - 5*n**3 + 135.
-5*(n - 1)*(n + 3)*(n + 9)
Let c(v) be the first derivative of -4*v - 14/3*v**2 - 26 - 11/9*v**3. Factor c(w).
-(w + 2)*(11*w + 6)/3
Suppose -96951002 - 1453236*k**2 + 79279901 + 250038238 + 202529368*k - 4*k**4 + 107701255 + 4180*k**3 - 35418396*k = 0. Calculate k.
-2, 349
Let -1/5*v**5 + 19/5*v**4 + 47/5*v**3 - 126/5*v + 0 - 99/5*v**2 = 0. Calculate v.
-3, -1, 0, 2, 21
Let i = 31 - 17. Let l be i + -15 - (0 + (-5)/2). Find p, given that 3/2*p**4 + 3/2*p - 3/2*p**3 - l*p**2 + 0 = 0.
-1, 0, 1
Let w be 6612/290928 - (-350)/88. Find l such that 3*l**w - 1944 + 429/2*l**3 - 2052*l + 7557/2*l**2 = 0.
-36, -1/2, 1
Factor -3*z**3 + 25*z + 17506 - 8752 + 260*z - 8754 - 282*z**2.
-3*z*(z - 1)*(z + 95)
Let y(n) be the second derivative of n**7/1890 + n**6/1080 - 109*n**4/6 - 17*n - 2. Let k(r) be the third derivative of y(r). Find g such that k(g) = 0.
-1/2, 0
Let l = -20187 + 141318/7. Factor 0 + 30/7*s - 3/7*s**3 + l*s**2.
-3*s*(s - 5)*(s + 2)/7
Let g be ((-14)/22)/((-6)/(1116/217)). What is u in -4/11 + 2/11*u**3 - 2/11*u + g*u**2 - 2/11*u**4 = 0?
-1, 1, 2
Let j = 1550058 - 7750278/5. What is i in -16 - 72/5*i + 2/5*i**3 - j*i**2 = 0?
-2, 10
Let g(h) be the second derivative of 5*h**4/12 - 515*h**3/6 - 525*h**2 - 10*h - 33. Factor g(a).
5*(a - 105)*(a + 2)
Factor -1/3*f**5 - 2/3*f**2 + 1/3 + 2/3*f**3 + 1/3*f**4 - 1/3*f.
-(f - 1)**3*(f + 1)**2/3
Let b(l) = 15*l**2 - 69*l - 822. Let t(n) = -12*n**2 + 75*n + 823. Let y(x) = -5*b(x) - 6*t(x). Find d, given that y(d) = 0.
-23, -12
Let b be (11/(-1) + (-9 - -11))*-24*42/12096. Determine g so that 0*g + b*g**2 - 3 = 0.
-2, 2
Determine m, given that 0 - 1/2*m**3 + 1/6*m**5 + 35/6*m**2 - 11/3*m - 11/6*m**4 = 0.
-2, 0, 1, 11
Let d(i) be the third derivative of i**6/5 - 346*i**5/15 - 695*i**4/36 - 58*i**3/9 + 7706*i**2. Find v, given that d(v) = 0.
-1/6, 58
Let k(r) be the second derivative of -r**4/42 - 32*r**3/21 + 33*r**2/7 + 202*r. Factor k(n).
-2*(n - 1)*(n + 33)/7
Let z(y) be the second derivative of -y**6/90 - 24*y**5/5 - 5326*y**4/9 - 4544*y**3 - 40328*y**2/3 + 4146*y. Factor z(o).
-(o + 2)**2*(o + 142)**2/3
Let j(o) be the second derivative of o**6/60 - 11*o**5/20 + 39*o**4/8 + 22*o**3/3 - 121*o**2 + 1186*o. Factor j(u).
(u - 11)**2*(u - 2)*(u + 2)/2
Let w = -397 + 834. Factor w*z + 201*z - 24*z + 3993 + 475*z + 99*z**2 + 3*z**3.
3*(z + 11)**3
Solve 70*z**3 - 54515 - 192*z + 8*z**2 + 6*z**3 - 4*z**5 + 54387 = 0 for z.
-4, -1, 2, 4
Let p(n) be the first derivative of -8*n**5/35 - 60*n**4 + 2*n**3/7 + 631*n**2/7 + 60*n + 822. Solve p(w) = 0 for w.
-210, -1/2, 1
Let g(c) be the first derivative of -1/15*c**3 + c**2 - 16/5*c + 172. Factor g(h).
-(h - 8)*(h - 2)/5
Factor 0 + 5/4*v**2 - 183/4*v.
v*(5*v - 183)/4
Suppose -2*u = 24*j - 23*j - 3, j = -3. Let c(l) be the first derivative of -38 - 2/3*l**u + 12*l + l**2. Factor c(r).
-2*(r - 3)*(r + 2)
Let h(u) be the first derivative of 49*u**6/6 + 182*u**5 - 902*u**4 + 2032*u**3/3 + 1064*u**2 + 352*u - 7193. Suppose h(o) = 0. Calculate o.
-22, -2/7, 2
What is i in 0 + 66/5*i**2 - 2/5*i**3 + 340*i = 0?
-17, 0, 50
Let f(k) be the first derivative of -k**6/3 - 31*k**5/5 - 27*k**4/4 + 31*k**3/3 + 29*k**2/2 + 4530. Find v such that f(v) = 0.
-29/2, -1, 0, 1
Let t(g) be the third derivative of -g**5/15 - 499*g**4/3 - 498002*g**3/3 - 2*g**2 + 1486. Determine r, given that t(r) = 0.
-499
Let q be 1 + 6 + 3 + (-575)/(-92). Suppose 45/2 - 575/4*k - q*k**2 = 0. Calculate k.
-9, 2/13
Factor 327 - 3*v**2 - 669*v - 338 - 156 - 1159.
-3*(v + 2)*(v + 221)
Let q(n) be the first derivative of -1/10*n**6 + 1/3*n**4 + 0*n**2 - 29 + 7/30*n**5 + 1/3*n**3 + 0*n. Let g(y) be the third derivative of q(y). Factor g(c).
-4*(c - 1)*(9*c + 2)
Let p(k) be the third derivative of 1/1680*k**7 + 13/480*k**5 - 1/160*k**6 + 1/12*k**3 + 0 + 0*k - 1/16*k**4 - 34*k**2. Factor p(w).
(w - 2)**2*(w - 1)**2/8
Let g(i) = -5*i**5 + 9*i**4 + 7*i. Let a(s) be the first derivative of -s**6/2 + s**5 + 2*s**2 - 91. Let w(c) = -7*a(c) + 4*g(c). Find p such that w(p) = 0.
-1, 0
Let h(a) be the first derivative of 16*a**3/21 - 17*a**2/7 + 4*a/7 + 915. Factor h(p).
2*(p - 2)*(8*p - 1)/7
Let n(w) = -w**3 + 16*w**2 - 17*w + 32. Let h be n(15). Factor 6 - 712*o + 715*o - o**2 - 5*o**2 + 3*o**h.
-3*(o - 2)*(o + 1)
Let g be (0/(-1) - -63) + (-308)/(-44). Let t be 10 - g/(17 - 7). Let -9*r**4 + 3*r**2 - 9/4*r + 15/4*r**