 + 1/240*d**6 - 2*d - 1/420*d**7 + 0 + 0*d**4 + 0*d**3 + 0*d**5. Factor a(t).
-t**3*(t - 1)/2
Solve 906 - 308*n**2 + 498*n**2 - 3*n**3 + 76*n**2 - 1365*n + 196*n**2 = 0.
1, 2, 151
Find m such that -330/13*m + 2/13*m**4 - 226/13*m**2 - 144/13 - 38/13*m**3 = 0.
-3, -1, 24
Let b = 3272 + -4790. Let o be 10*(b/(-300) - 5). Factor -o*t**2 - 1/5*t**3 - 2/5*t + 0.
-t*(t + 1)*(t + 2)/5
Let x be (-42848)/(-46144)*16/26. Factor -8/7*i - 4/7*i**2 - x.
-4*(i + 1)**2/7
Let q(x) = x**2 + 3*x + 16. Let w be q(-7). Let u = w - 24. Factor -u*k + 30*k**4 - 20*k**2 + 10*k**5 + 50 - 55 + 10*k**3 - 5*k**4.
5*(k - 1)*(k + 1)**3*(2*k + 1)
Let r(j) = j**3 - 7*j**2 - 17*j - 4. Let s be r(9). Solve 12*f**3 - 247*f**4 + 255*f**4 - 16*f + 0*f**s - 4*f**5 - 16*f**2 = 0.
-1, 0, 2
Let s be (-5)/(-42)*168/960. Let x(t) be the third derivative of 14*t**2 + 0*t - 7/120*t**5 - 1/420*t**7 - 1/16*t**4 + 0*t**3 + 0 - s*t**6. Factor x(y).
-y*(y + 1)**2*(y + 3)/2
Let n(s) be the first derivative of -s**4/20 - s**3 + 9*s**2/5 + 32*s/5 + 12142. Find f, given that n(f) = 0.
-16, -1, 2
Let u(d) be the second derivative of -4*d - 4 - 1/24*d**4 - 5/2*d**3 - 225/4*d**2. Factor u(s).
-(s + 15)**2/2
Suppose 5*w - 50 = 2*m, -4*w - 2*m + 14 = -26. Factor -5 + 2*c**2 - 9 - 3 + 25 + w*c.
2*(c + 1)*(c + 4)
Let x(h) = 2*h**3 - 48*h**2 + 10*h - 5. Let c(b) = -b**3 + 24*b**2 - 6*b + 3. Let n be 24/(-3) - (-11 + 13). Let g(m) = n*c(m) - 6*x(m). Factor g(v).
-2*v**2*(v - 24)
Factor 316/5*s**3 + 0*s + 164/5*s**4 + 4/5*s**5 + 156/5*s**2 + 0.
4*s**2*(s + 1)**2*(s + 39)/5
Suppose -4*p + 2*p = -3*w + 53, 4*p - 44 = -4*w. Suppose 0 = -4*a + j + 12, -3*a = 2*a - 2*j - w. Factor -6 + q**3 - 3*q**3 - 9*q + 3*q**3 + 2*q**a.
3*(q - 2)*(q + 1)**2
Let s(h) be the first derivative of -4*h**3/3 - 1648*h**2 - 678976*h + 1621. Factor s(p).
-4*(p + 412)**2
Let y(g) be the third derivative of -g**10/252000 - g**9/33600 + g**7/2100 - 51*g**5/20 - 120*g**2. Let m(a) be the third derivative of y(a). Factor m(c).
-3*c*(c - 1)*(c + 2)**2/5
Let -9438/7*c**2 - 3042/7*c**3 - 24/7 - 944/7*c = 0. Calculate c.
-3, -2/39
Let h(c) = 30*c**3 + 25*c**2 - 65*c + 4. Let q be ((-8)/(-10) + (-9)/5)*13. Let v(a) = -60*a**3 - 50*a**2 + 130*a - 7. Let i(x) = q*h(x) - 6*v(x). Factor i(r).
-5*(r - 1)*(r + 2)*(6*r - 1)
Let p(k) = 2*k**4 - k**3 + 2. Let y(u) = 12*u**4 + 45*u**3 - 258*u**2 + 360*u + 14. Let b(t) = -7*p(t) + y(t). Factor b(j).
-2*j*(j - 20)*(j - 3)**2
Let a(w) = -w + 14. Let x(s) = s**3 - 5*s**2 - 4*s + 2. Let p be x(6). Let y be a(p). Factor 6*n + y*n + 4 + 0 - 2*n + n**2.
(n + 2)**2
Let g(y) be the second derivative of y**4/3 + 20*y**3/3 - 238*y**2 - 5*y - 11. Factor g(t).
4*(t - 7)*(t + 17)
Let q(c) be the first derivative of 3*c**5/25 - 9*c**4/10 + 3*c**3/5 + 3*c**2 - 1093. Factor q(y).
3*y*(y - 5)*(y - 2)*(y + 1)/5
Suppose 178/3*k + 220 - 24*k**2 + 2/3*k**3 = 0. Calculate k.
-2, 5, 33
Let v be 10/1658*18/45. Let a = v + 1620/15751. Factor -a*b**2 - 2/19*b + 4/19.
-2*(b - 1)*(b + 2)/19
Suppose -347*b**3 - 32*b + 329*b**3 + 106 - 2*b**4 - 48*b**2 - 106 = 0. Calculate b.
-4, -1, 0
Let s be (6/63*12)/((-72)/(-252)). Suppose 7*z + 5*z = 7*z. Factor -10/11*t**3 + z - 16/11*t**2 - 8/11*t - 2/11*t**s.
-2*t*(t + 1)*(t + 2)**2/11
Let a(s) = -87*s**2 + 73*s + 3. Let b be a(0). Find k such that 8/7*k + 0 - 2/7*k**b + 6/7*k**2 = 0.
-1, 0, 4
Let w be (-3)/(6 + (-21)/3). Factor -276713*d + 13*d**2 + 276713*d + d**w.
d**2*(d + 13)
Determine d, given that 25*d**5 + 213*d**2 - 2593*d**2 - 600*d - 1165*d**3 - 91*d**4 - 508*d**4 - 1305*d**3 - 66*d**4 = 0.
-2, -1, -2/5, 0, 30
Let y(m) be the first derivative of -28*m**3/9 - 4904*m**2/3 - 2800*m/3 - 1702. Solve y(j) = 0.
-350, -2/7
Factor -1391/2 + 695*q + 1/2*q**2.
(q - 1)*(q + 1391)/2
Let -1072/3*l**2 - 246*l**3 + 480 + 168*l - 44*l**4 - 2/3*l**5 = 0. Calculate l.
-60, -3, -2, 1
Let r(w) be the first derivative of 0*w - 7*w**2 - 1/3*w**3 + 9. Suppose r(n) = 0. What is n?
-14, 0
Suppose 298 + 44 + 3 = 69*i. Let t(m) be the first derivative of -10/3*m**3 + 0*m - 5/4*m**4 - 9 + 0*m**2 + 5/2*m**6 + 4*m**i. Factor t(z).
5*z**2*(z + 1)**2*(3*z - 2)
Let b(u) = 6*u**3 - 6*u**2 - 40*u + 12. Let v(w) = 5*w**3 - 5*w**2 - 33*w + 9. Let h(m) = 6*b(m) - 7*v(m). Determine s so that h(s) = 0.
-3, 1, 3
Let i(g) = 4*g**4 + 152*g**3 - 360*g**2 + 458*g - 144. Let f(c) = -c**4 - 51*c**3 + 123*c**2 - 152*c + 48. Let b(d) = -10*f(d) - 3*i(d). What is v in b(v) = 0?
1, 24
Suppose 16*i - 315 = -144*i + 165. Let k(h) be the second derivative of 1/35*h**5 + 0*h**2 - 1/21*h**i + 31*h + 0*h**6 + 0 - 1/147*h**7 + 0*h**4. Factor k(y).
-2*y*(y - 1)**2*(y + 1)**2/7
Suppose -k + 4 = -2*v - 5*k, 4 = 4*v + 2*k. Solve 2*o**3 - o + 6*o - v*o**2 + 0*o**2 - o - 4*o**3 = 0.
-2, 0, 1
Let w = -6/14179 + -32781830/42537. Let i = -770 - w. Find k such that -22/3*k - 8/3*k**2 - 4 + i*k**3 = 0.
-1, 6
Let s = 66 - -21. Suppose s*v - 92*v = -20. What is q in -16*q**2 + 27*q**3 - 10*q**3 - 56*q + 12*q**5 + 11*q**3 + 40*q**v + 40*q = 0?
-2, -1, 0, 2/3
Factor -126 + 33*h + 84*h**3 + 13*h - 48*h**3 - 38*h**3 + 44*h + 38*h**2.
-2*(h - 21)*(h - 1)*(h + 3)
Let -3568 - 604*t + 2883*t**2 + 1303*t - 12*t**3 + 1545*t - 452*t + 2465*t**2 = 0. Calculate t.
-1, 2/3, 446
Suppose 0 - 16/3*y - 2*y**2 + 3*y**3 - 1/3*y**4 = 0. Calculate y.
-1, 0, 2, 8
Determine c, given that -125*c**5 - 36*c**2 + 0 + 4*c**3 - c**4 - 2*c + 123*c**5 + 18 + 19*c**4 = 0.
-1, 1, 9
Solve 49*w - 22*w**2 + 195 + 3*w**4 - 16*w**3 - 246 + 39*w - 2*w**4 = 0.
-3, 1, 17
Let u(l) be the first derivative of 2*l**5/55 - 16*l**4/11 + 208*l**3/11 - 1152*l**2/11 + 2592*l/11 - 1918. Find z, given that u(z) = 0.
2, 6, 18
Let s(n) be the first derivative of -11*n**3/2 - 197*n**2/2 + 12*n + 236. Let s(u) = 0. Calculate u.
-12, 2/33
Suppose 34*s - 35*s - 116 = -59*s. Factor -t + 3/2*t**s - 5/2.
(t + 1)*(3*t - 5)/2
Suppose 50940*z - 50720*z = 660. Solve 3/7*m**2 + 0 + 1/7*m**z - 18/7*m = 0 for m.
-6, 0, 3
Let r(j) be the third derivative of j**8/100800 - j**7/3150 + j**6/300 + 17*j**5/20 + 5*j**2 - 3. Let n(k) be the third derivative of r(k). Factor n(m).
(m - 6)*(m - 2)/5
Suppose 4*h = -4*u + 91 - 79, -2*h + 5*u = 1. Solve -3*w - 5/2*w**h - 1/2*w**3 + 0 = 0 for w.
-3, -2, 0
Let p = 4215 + -379349/90. Let a(s) be the third derivative of 0*s + 1/1008*s**8 + 9*s**2 + 1/9*s**3 - p*s**6 - 1/90*s**5 + 1/24*s**4 + 0 + 0*s**7. Factor a(z).
(z - 2)*(z - 1)*(z + 1)**3/3
Let u(r) be the first derivative of 2*r**5/5 - 257*r**4/2 + 64489*r**3/6 + 50115*r**2 + 76050*r - 3253. Find w, given that u(w) = 0.
-3/2, 130
Let p(t) be the second derivative of -t**5/15 - t**4/2 + 31*t**2 + t + 23. Let u(j) be the first derivative of p(j). Let u(f) = 0. Calculate f.
-3, 0
Let p(w) = 2*w**3 + 72*w**2 - 52*w + 41. Let k(a) = 24*a**2 - 20*a + 14. Let v(d) = -7*k(d) + 2*p(d). Find l such that v(l) = 0.
1, 4
Suppose 0 = 3*k - k. Let v(j) = -j**2 + 25*j - 64. Let m be v(22). Find q such that k*q**2 - 2*q**2 + q**3 + q**m - 2*q = 0.
-1, 0, 2
Let d be (-1 - (-8)/2) + (4 - 3). Suppose -d*l = -30 - 78. Find x, given that 85*x**2 + l*x + 15 + 46*x + 20*x**3 + 7*x = 0.
-3, -1, -1/4
Let r(o) be the second derivative of o**4/48 - 41*o**3/24 + 39*o**2/4 - 2*o - 218. Factor r(m).
(m - 39)*(m - 2)/4
Let q(g) = 4*g + 44. Suppose -x + 7 - 17 = 0. Let u be q(x). Factor 2/3*o**2 + 0*o + 0 + 2/3*o**5 - 2/3*o**3 - 2/3*o**u.
2*o**2*(o - 1)**2*(o + 1)/3
Let k = -181 - -183. Suppose 3042 + k*o**2 + 155*o - 10*o + 11*o = 0. Calculate o.
-39
Let b be (4/12 + -1)/((-15)/(-135)). Let q be -1 + b + (-9)/(-1). Suppose 2*c - 1/2*c**q - 3/2 = 0. Calculate c.
1, 3
Let y(w) be the second derivative of -1/27*w**4 + 0 - 52/9*w**2 - 151*w + 2*w**3. Factor y(t).
-4*(t - 26)*(t - 1)/9
Factor 1/7*h**4 - 275/7*h + 0 + 51/7*h**3 - 225/7*h**2.
h*(h - 5)*(h + 1)*(h + 55)/7
Let w(r) be the second derivative of -3764768*r**5/5 + 57624*r**4 - 1764*r**3 + 27*r**2 + 281*r. Factor w(t).
-2*(196*t - 3)**3
Let s(f) be the first derivative of -1/2*f**6 + 0*f**2 + 7/5*f**5 + 4/9*f**3 - 4/3*f**4 + 44 + 0*f. Factor s(b).
-b**2*(b - 1)*(3*b - 2)**2/3
Let l = -3/140 + 135/28. Find m such that 27/5*m**3 - 6/5*m**2 + l - 108/5*m = 0.
-2, 2/9, 2
Let x be (32/21*3)/((-4647)/(-21686)). Factor 512 + 2/9*u**2 + x*u.
2*(u + 48)**2/9
Let l(n) be the second derivative of 4*n**6/15 - 19*n**5