50*k**2 - 5*k + 50*k**4 - 6*k**5 = 0.
-1, -1/5, 0, 1
Suppose -57 = -3*u - 42. Factor 22*d**3 + 32 - u*d**3 + 8*d - 6*d**2 - 14*d**2 - 13*d**3.
4*(d - 4)*(d - 2)*(d + 1)
Suppose q + 3 = 0, -2*k + 10 = -0*k - 4*q. Let s be ((-2)/(-7))/(k/(56/(-4))). Solve -4/7 - 12/7*n**s - n**3 + 31/7*n**2 - 8/7*n = 0.
-2, -1/4, 2/3, 1
Let d(i) be the third derivative of -i**6/60 + 3*i**5/2 + 31*i**4/4 + 47*i**3/3 - i**2 + 258*i. Factor d(o).
-2*(o - 47)*(o + 1)**2
Let d(s) be the first derivative of 3*s**4/8 + 6*s**3 - 108*s**2 + 480*s + 444. Factor d(w).
3*(w - 4)**2*(w + 20)/2
Suppose 5999 = -23*q - 4673. Let s = -461 - q. Factor 0 - 2/15*t**s + 0*t + 0*t**2.
-2*t**3/15
Let q(r) be the first derivative of 2*r**3/33 - 98*r**2/11 + 384*r/11 + 1455. Determine z, given that q(z) = 0.
2, 96
Let a(h) = -h**2 + 624*h - 1212. Let c(q) = -7*q - 2. Let l(o) = -a(o) - 2*c(o). Factor l(j).
(j - 608)*(j - 2)
Let h(i) = -2*i**2 + 29*i + 5. Let o be h(7). Factor 75 - 90*y**2 + 65*y**2 + 60*y - o.
-5*(y - 1)*(5*y - 7)
Factor 822*k + 832*k - 101*k**2 - 99*k**3 - 1656*k.
-k*(k + 1)*(99*k + 2)
Suppose -8*z + 12*z - 5*f = 212, z + 3*f = 36. Factor 31 + 387*s + z*s**3 - 1 - 59*s**2 + 18 + 851*s**2.
3*(s + 16)*(4*s + 1)**2
Let g(t) be the first derivative of -22*t - 1/6*t**3 + 1/4*t**4 + 26 - 3/2*t**2 + 1/20*t**5. Let q(x) be the first derivative of g(x). Factor q(u).
(u - 1)*(u + 1)*(u + 3)
Let m(j) be the third derivative of 0*j + 0 + 9/5*j**5 + 1/2*j**6 + 13/6*j**4 + 7*j**2 + 0*j**3 + 2/105*j**7. What is n in m(n) = 0?
-13, -1, 0
Factor -2/11*d**2 - 4193408/11 - 5792/11*d.
-2*(d + 1448)**2/11
Let x(a) = 15*a**2 - 20*a. Suppose 84*h - 36 = 93*h. Let s(n) = -16*n**2 + 20*n. Let r(f) = h*x(f) - 3*s(f). Factor r(q).
-4*q*(3*q - 5)
Factor 2/11*b**3 + 378/11 + 758/11*b + 382/11*b**2.
2*(b + 1)**2*(b + 189)/11
Let n(w) = 7 - 52*w**2 - 2*w**3 + 27*w + 22*w**2 + 16*w + 22*w**2. Let p be n(-7). Suppose -5/4*d**2 + 1/4*d + p = 0. What is d?
0, 1/5
Suppose 532*n - 24 = 536*n. Let f(o) = o**2 + 14*o + 50. Let c be f(n). Factor 8/3*w - 1/6*w**c - 32/3.
-(w - 8)**2/6
Let v = -753 - -755. Let p(c) = 17*c**2 - 240*c + 32. Let t be p(14). What is z in -1/3*z + 0*z**3 + 0 + 2/3*z**v - 2/3*z**t + 1/3*z**5 = 0?
-1, 0, 1
Let u(w) be the second derivative of -w**7/126 + 23*w**6/90 - 16*w**5/15 - 190*w**4/9 - 728*w**3/9 - 392*w**2/3 - 370*w. Determine n, given that u(n) = 0.
-2, -1, 14
Factor 75*w**3 + 452*w - 7000 - 1570*w**2 + 2662*w + 5786*w.
5*(w - 10)**2*(15*w - 14)
Let h = 220 - 216. Find b such that -1762 - h*b**3 + b + 1762 + 3*b = 0.
-1, 0, 1
Let l(u) be the second derivative of u**4/66 + 4*u**3/11 - 85*u**2/11 + 47*u. Factor l(r).
2*(r - 5)*(r + 17)/11
Let l(h) be the first derivative of -5/2*h**4 + 0*h**3 + 147 + 5*h**2 + h**5 - 5*h. What is m in l(m) = 0?
-1, 1
Find k such that -3/7*k**3 - 12/7*k**2 + 0 + 96/7*k = 0.
-8, 0, 4
Let y(i) = i**3 + i**2 - 7*i - 5. Let v(p) = 2*p + 4 - 6 + 5 - 4 + p**2. Let q(h) = 5*v(h) + 5*y(h). Factor q(o).
5*(o - 2)*(o + 1)*(o + 3)
Suppose 2 = -902*o + 903*o. Factor -2*l + o*l**3 - 2/3*l**4 + 0 + 2/3*l**2.
-2*l*(l - 3)*(l - 1)*(l + 1)/3
Let h = -16959/26 - -8525/13. Find k such that -27/8 - 1/8*k**2 - h*k = 0.
-27, -1
Factor -40*v + 12*v**2 - 2/3*v**3 - 400/3.
-2*(v - 10)**2*(v + 2)/3
Let y be ((9/4275)/(2/20))/(0 + (-3)/(-525)). Solve 2/19*h**2 - y*h - 72/19 = 0 for h.
-1, 36
Suppose 126*i = 106*i + 11720. Let p = 4120/7 - i. Factor 2*z**2 + 4/7 - p*z.
2*(z - 1)*(7*z - 2)/7
Let 0 + 1/3*t**4 - 20*t - 28/3*t**2 + t**3 = 0. What is t?
-6, -2, 0, 5
Determine q, given that -4487*q**2 + 3174*q + 3675 - q**5 - 4223*q**3 + 88*q**4 + 681 - 70*q**4 + 1050*q + 113*q**4 = 0.
-1, 1, 66
Let f(h) = 120*h - 28. Let m be f(3). Let l = m + -330. Solve -2/11*g**l - 8/11 + 8/11*g = 0 for g.
2
Suppose -310*h**4 - 5*h + 10*h**3 - 5*h**5 + 135*h**4 + 175*h**4 = 0. Calculate h.
-1, 0, 1
Let q(s) = -s**2 - s - 2. Suppose -w + 5 = 4*w + 2*n, -4*w - 4*n = -16. Let m(i) = -4*i**3 + 28*i**2 - 32*i + 8. Let x(v) = w*m(v) - 4*q(v). Factor x(j).
4*j*(j - 3)**2
Let k be (5 - 7)*-3 - 114/20. Let u(n) be the first derivative of 5 + k*n**2 - 1/15*n**3 + 0*n. Factor u(a).
-a*(a - 3)/5
Let j(n) be the second derivative of -n**4/16 - 7*n**3/8 - 15*n**2/4 + 1306*n. Determine o so that j(o) = 0.
-5, -2
Suppose -15*b + 15 = -30. Factor -6 - s**b - 60*s**2 + 23*s**2 - 17*s - 6*s**3 + 20*s**2 - s**4.
-(s + 1)**2*(s + 2)*(s + 3)
Suppose -21 = -l - 2*l - n, 9 = 3*l - 3*n. Factor -l*i**4 + 79*i**3 + 10 - 28*i**3 - 5*i**5 - 4*i**4 + 35*i - 41*i**3 + 40*i**2.
-5*(i - 2)*(i + 1)**4
Let x(m) be the third derivative of m**6/360 - 83*m**5/180 + 9*m**4/4 + 494*m**2. Find b, given that x(b) = 0.
0, 2, 81
Let n = 197 - 102. What is s in 3*s**2 + 79 - n + 16*s - 7*s**2 = 0?
2
Suppose 0*r**5 - 4288*r**3 - 5788*r**3 - 2*r**5 + 288*r**4 - 10658*r - 21024*r**2 = 0. Calculate r.
-1, 0, 73
Suppose 0 = -62*r + 52*r + 110. Suppose r*j - 52*j**2 - 20 + 4*j + 57*j**2 = 0. What is j?
-4, 1
What is z in -14*z**3 - 54*z**2 + z**5 + z**3 + 64*z**3 - 14*z**4 = 0?
0, 2, 3, 9
Suppose o - 7 = 4*m + 15, 3*m = -15. Factor 3*s - s - o*s**3 + 206*s**2 - 205*s**2 - s**4.
-s*(s - 1)*(s + 1)*(s + 2)
Find c, given that 14*c**3 - 9*c**3 + 1937*c**2 - 333*c**2 + 186*c**2 = 0.
-358, 0
Suppose 33*a = 88 + 181 - 5. Let p(w) be the second derivative of -6*w**2 - a*w - 1/4*w**4 + 0 - 2*w**3. Factor p(f).
-3*(f + 2)**2
Let j(d) be the first derivative of 7/2*d**4 + 66 - 8/5*d**5 + 4/3*d**3 + 0*d**2 + 0*d. Let j(p) = 0. Calculate p.
-1/4, 0, 2
Let s(i) be the third derivative of i**5/60 + 289*i**4/16 - 217*i**3/6 + 15*i**2 + 3*i + 11. Factor s(a).
(a + 434)*(2*a - 1)/2
Let y(m) be the second derivative of -8/3*m**3 + 10/3*m**4 + 0*m**2 + 7/15*m**6 - 9/5*m**5 - 1/21*m**7 + 0 + 29*m. Suppose y(v) = 0. Calculate v.
0, 1, 2
Let d(t) be the first derivative of 0*t + 5/3*t**2 + 103 + 4/3*t**3 + 1/6*t**4. Determine r, given that d(r) = 0.
-5, -1, 0
Let t = -37719 + 37725. Let l(d) be the third derivative of 26*d**2 - 1/64*d**4 - 1/80*d**5 + 0 + 0*d + 0*d**3 - 1/320*d**t. Solve l(r) = 0.
-1, 0
Let p(c) be the third derivative of c**7/420 + c**6/540 - c**5/60 - c**4/36 - 15*c**3/2 + c**2. Let t(b) be the first derivative of p(b). Solve t(r) = 0.
-1, -1/3, 1
Suppose 25 = -5*q + 5*m, m - 20 = q + 3*m. Let v be (q/5 + -8)*(-6)/315. Determine d so that -v*d**3 - 2/21*d**4 + 2/21*d**2 + 0 + 4/21*d = 0.
-2, -1, 0, 1
Let t(c) be the third derivative of -c**8/33600 - c**7/6300 - c**6/3600 - c**5/60 + c**4/6 - 161*c**2. Let f(y) be the third derivative of t(y). Factor f(s).
-(s + 1)*(3*s + 1)/5
Let d(w) = -3*w**3 - 2*w**4 - 17 + 17 - 4*w**4 + 14*w + 12*w**2. Let g(a) = 7*a**4 + 4*a**3 - 13*a**2 - 16*a. Let s(i) = 6*d(i) + 5*g(i). Factor s(u).
-u*(u - 4)*(u + 1)**2
Let o(s) be the third derivative of 0 + 1/1344*s**8 - 1/30*s**6 + 1/840*s**7 + 0*s**3 + 0*s**4 - 88*s**2 + 1/12*s**5 + 0*s. Factor o(t).
t**2*(t - 2)**2*(t + 5)/4
Let y(z) be the first derivative of -4*z**3/3 + 1262*z**2 - 5032*z - 3412. Solve y(a) = 0.
2, 629
Let u be -54 + 34 + (-1100)/(-140) - (0 + -13). Determine k so that 2/7*k**2 - 20/7 + u*k = 0.
-5, 2
Let y(u) be the second derivative of -u**4/24 - 1715*u**3/12 + 429*u**2 + u + 1188. Factor y(p).
-(p - 1)*(p + 1716)/2
Factor 809*a**2 + 2*a**3 + 128544*a - 2*a**2 - 129792 + a**3 - 13*a**2 + 451*a**2.
3*(a - 1)*(a + 208)**2
Let l = 632 - -22. Let m = -648 + l. Suppose 0*w - 44/3*w**4 + 25*w**3 - m*w**2 + 7/3*w**5 + 0 = 0. Calculate w.
0, 2/7, 3
Let z be -62 + -21 + (-309447)/(-3723). Factor -z*j**2 - 62/17 + 64/17*j.
-2*(j - 31)*(j - 1)/17
Suppose -5*b - 9*b = -112. Suppose u - 6*z = -b*z + 3, 0 = u + z - 3. Factor 0 - 2/15*p**u - 2/15*p**2 + 4/15*p.
-2*p*(p - 1)*(p + 2)/15
Suppose -111*q + 5*n + 75 = -106*q, -4*q = -22*n - 294. Let 1/3 - 1/3*d**q - 1/3*d**3 + 1/3*d = 0. What is d?
-1, 1
Suppose 5*d - 20 = 4*d. Let o = d - 18. Let -26*l**3 - 6*l**o + 24*l**3 + 4*l**2 = 0. What is l?
-1, 0
Let o(l) be the first derivative of 2/3*l**3 + 0*l**2 + 1/20*l**5 - 13 + 0*l + 1/8*l**4 + 1/120*l**6. Let c(h) be the third derivative of o(h). Factor c(p).
3*(p + 1)**2
Let f(h) be the first derivative of h**3/3 - 43*h**2/2 + 252*h - 2620. Factor f(z).
(z - 36)*(z - 7)
Suppose -18 = 23*q - 64. Let i(f) be the second derivative of -3*f + 9/20*f**5 + 0 + 12*f*