+ 3/8*z**5 + h*z**3 + 3/8*z**4.
3*z**4*(z + 1)/8
Solve 32*u**2 - 64*u - 48*u**3 + 44*u**3 + 10 - 19 + 9 = 0 for u.
0, 4
Solve 36*m - 21*m**3 + 80/7*m**2 + 24/7*m**4 + 0 - 1/7*m**5 = 0 for m.
-1, 0, 2, 9, 14
Let k(h) be the third derivative of 317*h**5/12 + 1595*h**4/24 + 5*h**3/3 + 4575*h**2. Determine a, given that k(a) = 0.
-1, -2/317
Factor 0 + 1/7*n**4 - 5547/7*n + 83/7*n**3 + 1591/7*n**2.
n*(n - 3)*(n + 43)**2/7
Let t(j) = 25*j + 197. Let i be t(-8). Let p be i/(-4) + (-351)/36 + 12. Solve 192/5*k + 144/5 + 4/5*k**p + 52/5*k**2 = 0.
-6, -1
Let b = 208555/2 + -104270. Find h such that -1/2*h**2 - b*h + 8 = 0.
-16, 1
Let a(f) = -f**3 - 13*f**2 - 22*f - 54. Let b be a(-11). Let x be (-1 + 2 + -7)/(72/b). Determine w, given that 2 - 8*w - 11/2*w**2 + x*w**3 = 0.
-1, 2/9, 2
Suppose 3*b - 177 = 3*q, 3*b - 10*q - 1136 = -882. Factor -b*c**3 - 2303/2*c**2 + 48*c + 1152 - 1/2*c**4.
-(c - 1)*(c + 1)*(c + 48)**2/2
Let k = -733 - -735. Suppose 414 + 61 = 5*n. Solve -1 + 92*w**2 + 3*w**3 + 3*w**4 - 3*w + 1 - n*w**k = 0.
-1, 0, 1
Let z(b) = 39*b**2 + 22*b - 16*b**2 - 71*b - 69 - 21*b**2. Let t(a) = -a**2 + 12*a + 17. Let x(l) = 9*t(l) + 2*z(l). Solve x(h) = 0.
-1, 3
Suppose -402 = -88*p + 63 - 25. Let x(t) be the first derivative of 4/9*t - 28 - 1/54*t**6 - 2/27*t**3 - 2/45*t**p + 2/9*t**4 - 7/18*t**2. Factor x(o).
-(o - 1)**3*(o + 1)*(o + 4)/9
Let n(w) = 4*w**2 + 7*w + 2. Let l be n(-5). Let y = -463/7 + l. Factor -6/7*h**2 + y*h + 2/7*h**3 - 2/7.
2*(h - 1)**3/7
Let x = 35391/47156 - 6/11789. Let 3/2*v**2 + x*v**5 + 0*v**3 + 0 - 3/2*v**4 - 3/4*v = 0. What is v?
-1, 0, 1
Suppose 10*k - 3 = 5*w + 7*k, 183 = w + 30*k. Factor 32/5*c - 2*c**2 + 1/5*c**w - 32/5.
(c - 4)**2*(c - 2)/5
Let a(d) be the first derivative of -3/2*d**4 - 7 + 3*d + d**3 + 15/4*d**2 - 6/5*d**5 - 1/4*d**6. What is g in a(g) = 0?
-2, -1, 1
Solve -2/15*y**2 - 64/3*y + 0 = 0 for y.
-160, 0
Let n(h) = h**4 - 10*h**3. Let g = -12 + 11. Let w(q) be the second derivative of -q**6/30 + 37*q. Let f(b) = g*n(b) - 6*w(b). Determine y, given that f(y) = 0.
-2, 0
Let n(g) be the second derivative of 1/90*g**5 + 41*g - 7/27*g**3 + 0 + 1/27*g**4 + 4/9*g**2. Factor n(h).
2*(h - 1)**2*(h + 4)/9
Suppose 7 = v + c + 1, -3*c = -6. Solve 8*x**3 + 13*x**v + 6*x**3 + 2*x**2 - x**3 + 0*x**3 - 28*x**5 = 0 for x.
-2/7, -1/4, 0, 1
Find z such that 9/10*z - 9/10 - 1/10*z**3 + 1/10*z**2 = 0.
-3, 1, 3
Suppose 3*g + 3*y - 21 = 0, 179*y - 182*y = -12. Let z(f) be the second derivative of 0*f**g + 0*f**2 - 1/12*f**4 + 3*f + 0. Factor z(t).
-t**2
Factor -3/5*b**4 - 24/5*b**3 - 28/5*b**2 + 0*b + 1/5*b**5 + 0.
b**2*(b - 7)*(b + 2)**2/5
Suppose -11887 = -3458*q + 10313 + 2006. Factor -q*a + 20/3 + 1/3*a**2.
(a - 20)*(a - 1)/3
Let a = -741482 - -3707413/5. Suppose -144/5 + 6/5*y + a*y**2 = 0. What is y?
-8, 6
Factor -81/4*m - 3/4*m**2 + 21.
-3*(m - 1)*(m + 28)/4
Let z be (-36)/(-4)*(-5)/(-15). Let f be -4*(50/(-8) + 4). Factor q + 3*q**4 + 2*q + q**2 + 7*q**2 + q**2 + f*q**z.
3*q*(q + 1)**3
Let a = 3/63503 + 1778075/190509. Determine t, given that a*t**2 - 4/3*t**3 - 20*t + 12 = 0.
1, 3
Suppose -27/5*f**5 + 0 + 48/5*f**2 + 48/5*f**4 + 228/5*f**3 + 0*f = 0. Calculate f.
-2, -2/9, 0, 4
Let s(i) be the second derivative of -i**4/4 - 2*i**3 + 63*i**2/2 + 22*i - 3. Solve s(r) = 0 for r.
-7, 3
Let i(k) be the first derivative of -2/39*k**3 + 0*k - 1/13*k**2 + 90. Factor i(l).
-2*l*(l + 1)/13
Suppose -6*p + 23 = -7. Factor 5440*l**3 + 2*l**5 - 5401*l**3 + 24*l**4 + 18*l**2 + l**p.
3*l**2*(l + 1)**2*(l + 6)
Let s(g) be the third derivative of -g**6/10 + 242*g**5/15 + 83*g**4/6 - 108*g**3 - 165*g**2. What is w in s(w) = 0?
-1, 2/3, 81
Let h be 184 + -178 - 88/15. Let o(d) be the second derivative of h*d**6 + 4/5*d**5 + 0*d**3 + 0*d**2 + 0 + d**4 - 13*d. Solve o(s) = 0 for s.
-3, -1, 0
Determine a so that 821 + 864*a**3 + 9763*a**2 - 1077 + 55232*a + 870*a**2 - 3179*a**2 + 6366*a**2 = 0.
-8, 1/216
Let w = 1725 - 1720. Let t(u) be the second derivative of 0 + 1/20*u**4 - w*u - 1/6*u**3 - 1/5*u**2. Factor t(s).
(s - 2)*(3*s + 1)/5
Let s(y) be the third derivative of -y**7/6720 + y**6/960 + y**5/160 - y**4/24 + 133*y**3/6 - y**2 - 7*y. Let i(h) be the first derivative of s(h). Factor i(v).
-(v - 4)*(v - 1)*(v + 2)/8
Let o = -200 - -204. Let b(m) = -14*m**3 + 69*m**2 - 69*m + 18. Let h(t) = t**3 - t**2. Let l(n) = o*b(n) - 44*h(n). Factor l(f).
-4*(f - 2)*(5*f - 3)**2
Suppose 4 = 4*l, 2*y - 2527 = 7*y - 2*l. Let n = 507 + y. Find o, given that -25/4 - 5/2*o - 1/4*o**n = 0.
-5
Let z(f) be the third derivative of -7/120*f**5 - 1/1344*f**8 - 9/160*f**6 + 0 + 0*f + 7/24*f**4 + f**3 - 1/84*f**7 - 21*f**2. Determine p so that z(p) = 0.
-6, -2, -1, 1
Let h(t) be the third derivative of t**8/20160 - 17*t**7/1260 + t**5/5 - 5*t**4/24 - 221*t**2. Let x(y) be the third derivative of h(y). Factor x(z).
z*(z - 68)
Suppose -3*s + z = -26, -28*s + 50 = -23*s - 5*z. Let g be s/16*-2 - -3. Solve -3*f - 1/2*f**g - 5/2 = 0.
-5, -1
Let a(n) be the first derivative of -5*n**4/4 + 425*n**3/3 - 210*n**2 + 1225. Factor a(f).
-5*f*(f - 84)*(f - 1)
Factor -531 - 34*t**2 + 173*t + 523*t - 10*t**2 + 1297 - 638.
-4*(t - 16)*(11*t + 2)
Suppose 326*n - 324*n = 264. Let i = n - 1180/9. Factor 2/9*y**3 - i*y - 16/9 + 4/9*y**2.
2*(y - 2)*(y + 2)**2/9
Factor 43/3*n**2 - 40 - 346/3*n + n**3.
(n - 6)*(n + 20)*(3*n + 1)/3
Let f(a) be the first derivative of 2*a**5/5 + 37*a**4/2 - 518*a**3/3 - 37*a**2 + 516*a + 5380. Determine i, given that f(i) = 0.
-43, -1, 1, 6
Let i(l) be the third derivative of l**8/1848 - 37*l**7/1155 + 34*l**6/165 - 2*l**5/5 - 8*l**2 - 13. Factor i(q).
2*q**2*(q - 33)*(q - 2)**2/11
What is o in 8984*o**4 - 72*o**3 + 8981*o**4 + 4704*o - 26944*o**4 - 45*o**2 + 8976*o**4 - 11520 = 0?
-16, 3, 5
Let w = -16/667 - 754249/5336. Let s = 5671/40 + w. Factor 14/5*a + s*a**2 + 4.
2*(a + 2)*(a + 5)/5
Let f be ((-36896)/28825)/((1/20*2)/(-4)). Find n, given that 448/5*n + 52/5*n**3 - 4/5*n**4 - 48*n**2 - f = 0.
1, 4
Let v(h) be the second derivative of h**8/336 + h**7/35 + h**6/40 - h**5/6 + 47*h**2/2 + 7*h - 2. Let b(k) be the first derivative of v(k). Factor b(d).
d**2*(d - 1)*(d + 2)*(d + 5)
Suppose 3*y + 114 = -3*w + 6*y, 5*y - 122 = 3*w. Let z be (-2 - 1)/(17/(w/3)). Find b, given that 0*b + 6/5*b**4 + 6/5*b**z + 12/5*b**3 + 0 = 0.
-1, 0
Let s = -32116/3 - -10708. Factor -s*d**2 + 2/3*d**4 + 2 - 4/3*d**3 + 4/3*d.
2*(d - 3)*(d - 1)*(d + 1)**2/3
Factor 2/11*f**3 + 78*f + 72/11*f**2 + 308.
2*(f + 11)**2*(f + 14)/11
Let p be (-2*(-2)/12)/(480865/2310 - 208). Factor 40/3 + 34/3*z + 2*z**p.
2*(z + 4)*(3*z + 5)/3
Let p(x) be the second derivative of x**5/5 - 26*x**4/3 + 362*x**3/3 - 312*x**2 + 552*x. Factor p(s).
4*(s - 13)*(s - 12)*(s - 1)
Suppose 0 = -2*s + 3*v + 5, -5*s + v = -3*v + 5. Let l = s - -9. Suppose 53*c**5 - 20*c**l - 58*c**5 - 10*c**3 - 5*c**3 = 0. What is c?
-3, -1, 0
Let u(s) be the second derivative of -s**5/70 + 3*s**4/14 - 9*s**3/7 + 27*s**2/7 + 1099*s. Solve u(z) = 0 for z.
3
Let w(b) be the second derivative of -b**4/54 + 79*b**3/9 - 78*b**2 + 290*b. Factor w(j).
-2*(j - 234)*(j - 3)/9
Let z = -379 + 453. Let y be (z/259)/((-2)/(-14)). Determine m, given that -3/8*m**5 + 0 + 3/8*m**3 + 3/8*m**4 - 3/8*m**y + 0*m = 0.
-1, 0, 1
Suppose 6935089643/3 - 1/3*x**3 - 3636649*x + 1907*x**2 = 0. Calculate x.
1907
Let b(r) = -3*r - 16. Let p be b(-7). Factor -61*y**5 + 33*y**5 + 33*y**p + 45*y**3 + 30*y**4.
5*y**3*(y + 3)**2
Let w(j) = 14*j**3 - 35*j**2 + 231*j + 11. Let v(q) = -15*q**3 + 33*q**2 - 228*q - 12. Let y(n) = -11*v(n) - 12*w(n). Let y(x) = 0. Calculate x.
0, 8, 11
Let c be (-248)/18 - (-35 + (46 + -36 - -11)). Factor 0 - 56/9*q - c*q**3 - 32/9*q**2.
-2*q*(q + 2)*(q + 14)/9
Suppose 81*q - 40 = 76*q. Suppose -3*t + 3*r - q = -r, 0 = -r + 5. Determine l, given that 12*l**2 - 7*l**4 + 4*l**t - 6*l**4 - 12*l**5 + 15*l**5 = 0.
-1, 0, 2
Let l be (-14)/(-4) + ((-22)/(-121))/((-380)/(-3971)). Factor -51/5*k - 21/5*k**2 + 3/5*k**3 - l.
3*(k - 9)*(k + 1)**2/5
Let b(i) be the third derivative of 0*i**4 + 0*i**3 - 21/40*i**5 + 1/20*i**6 + 0 + 40*i**2 + 0*i + 1/140*i**7. Let b(t) = 0. Calculate t.
-7, 0, 3
Let j(y) = -61*y**3 - 4940*y**2 + 5899*y - 952. Let i(m) = 62*m**3 + 4940*m**2 - 5898*m + 959. Let d(o) = -6*i(o) - 7*j(o). Factor d(t).
5*(t - 1)*