. Factor u(v).
5*v*(v - 6)*(v + 1)**2
Let a be -6 - -2*2135/600 - (88/15 + -6). Let n(g) = -g**3 - 2*g**2 - g. Let w be n(-2). Solve 1/4*f**3 + 1/2 + a*f + f**w = 0.
-2, -1
Let h(n) = -52*n - 2756. Let d be h(-53). Let s(m) be the second derivative of 1/3*m**3 - 41*m + 0*m**2 - 1/12*m**4 - 1/20*m**5 + d. Find l such that s(l) = 0.
-2, 0, 1
Let q(f) = -2*f**2 - 20*f + 14. Let l(i) = 41 - 50*i - 8*i**2 - 4*i + 21*i - 28*i. Suppose 29*u - 32*u - 12 = 0. Let h(n) = u*l(n) + 14*q(n). Factor h(z).
4*(z - 8)*(z - 1)
Suppose 5*z - 5*i = 8*z - 2609, 4*i - 2605 = -3*z. Let v = z - 2587/3. Find w, given that -8/3*w + v*w**2 + 2 = 0.
1, 3
Let s(d) be the first derivative of d**2 - 15*d + 147. Let t be s(9). Suppose 2/13*h**5 - 2/13*h**4 + 0*h - 2/13*h**t + 2/13*h**2 + 0 = 0. What is h?
-1, 0, 1
Let h(q) be the third derivative of -q**8/40320 - q**7/840 - q**6/72 - q**5/12 + q**4/12 - 3*q**2 + 8. Let s(w) be the third derivative of h(w). Factor s(f).
-(f + 2)*(f + 10)/2
Let s(z) be the third derivative of z**8/224 - 8*z**7/7 + 7153*z**6/80 - 30237*z**5/20 + 40275*z**4/4 - 33750*z**3 + 6502*z**2. Suppose s(o) = 0. What is o?
2, 6, 75
Suppose 106*z - 6*z - 3700 = 0. Let w be (-845)/(-1) - (3 + -3). Determine f, given that 41*f**2 + z*f**2 - 120*f**2 - w + 130*f + 37*f**2 = 0.
13
Let o(i) be the second derivative of -i**4/3 + 1064*i**3/3 - 141512*i**2 + 1348*i. Factor o(l).
-4*(l - 266)**2
Let n be 27/(486/72) - 5532/(-7). Let o = 796 - n. Factor o*b - 16/7*b**2 + 4/7.
-4*(b - 1)*(4*b + 1)/7
Let v(b) be the third derivative of 0 - 5/252*b**7 - 373/120*b**5 + 187/36*b**4 + 0*b - 35/9*b**3 + 148*b**2 + 4/9*b**6. Determine a so that v(a) = 0.
2/5, 5, 7
Let p = -5427 - -5427. Let r(h) be the third derivative of -1/735*h**7 + 1/210*h**5 + 0 + p*h + 0*h**3 - 18*h**2 + 1/84*h**4 - 1/420*h**6. Factor r(b).
-2*b*(b - 1)*(b + 1)**2/7
Factor -14814 - 47*l + 16*l + 6*l**2 + 14778 + l**3.
(l - 4)*(l + 1)*(l + 9)
Let t(c) = -c**3 - 19*c**2 - 19*c + 19. Let z be t(-19). Factor -168 - 27*y**2 - z - 1257 + 23*y**2 - y**2 - 190*y.
-5*(y + 19)**2
Let t = -2617 + 10471/4. Suppose -t*v**4 - 9 + 9/4*v**2 + 12*v - 9/2*v**3 = 0. What is v?
-6, -2, 1
Let w(k) = 12*k**2 - 2*k - 3. Let y(f) be the first derivative of 25*f**3/3 - 2*f**2 - 7*f - 18. Let n = -114 + 128. Let g(m) = n*w(m) - 6*y(m). Factor g(x).
2*x*(9*x - 2)
Let k(c) be the first derivative of 3*c**5/20 - 3*c**4/4 + 23*c**3/36 + 2*c**2/3 - c + 622. Suppose k(o) = 0. What is o?
-2/3, 2/3, 1, 3
Let x be 1/3 + ((-49910)/(-42))/23. Factor k**2 - 415 + x*k + 3*k**2 + 415.
4*k*(k + 13)
Let i(m) = -13*m**3 + 116*m**2 - 178*m + 24. Let z be i(7). Let k = -2 + 2. Factor 1/5*r**4 - 2/5*r**z - 1/5 + k*r**2 + 2/5*r.
(r - 1)**3*(r + 1)/5
Let i = 1304435813833/78849925 + -3/7168175. Determine l so that i*l + 12420/11*l**2 - 194672/11 + 274/11*l**3 + 2/11*l**4 = 0.
-46, 1
Let o(d) be the first derivative of 1/4*d**5 - 13/16*d**4 - 1/2*d + 1/8*d**2 + 61 + 3/4*d**3. Let o(t) = 0. Calculate t.
-2/5, 1
Let r(l) = -15*l**2 + 6*l**2 + 10*l**2 + 0*l**2. Let d(u) = -3*u**3 + 67*u**2 - 66*u. Let c(h) = -d(h) - 2*r(h). Factor c(f).
3*f*(f - 22)*(f - 1)
Let n = 23 + -21. Let f be 4/3 - (-2)/3. Let -5*c**3 + 10*c**n - c + 2*c**3 - f*c**3 - 4*c = 0. Calculate c.
0, 1
Factor -34*i**2 - 37/2*i**3 + 3/2*i**4 + 0 - 14*i.
i*(i - 14)*(i + 1)*(3*i + 2)/2
Let c(a) = -a**3 - 4. Let w(t) = 12*t**3 - 8*t**2 - 312*t - 1112. Let u(o) = 20*c(o) + 2*w(o). Suppose u(d) = 0. What is d?
-6, 16
Factor -5/2*f**2 - 265 - 275/2*f.
-5*(f + 2)*(f + 53)/2
Let q(a) be the third derivative of 0*a**3 - 7/60*a**4 + a - 35*a**2 + 0 - 1/300*a**5. Factor q(o).
-o*(o + 14)/5
Let h(b) = 20*b + 23. Let i be h(17). Suppose -3*y**2 + i*y - 202*y - 84 - 194*y = 0. Calculate y.
-7, -4
Let f(q) be the second derivative of 0*q**2 + q - 32 - 1/42*q**3 + 5/84*q**4. Factor f(s).
s*(5*s - 1)/7
Let b = 196 - -163. Factor -18 + 0*h - 15*h + 356*h**2 - b*h**2.
-3*(h + 2)*(h + 3)
Let j(a) be the second derivative of 245*a + 0 - 19/14*a**4 + 40*a**3 + 1/70*a**5 - 112*a**2. Find l such that j(l) = 0.
1, 28
Let 12*y**4 - 6*y**4 - 1465*y**3 - 678*y**2 + 112*y**3 = 0. Calculate y.
-1/2, 0, 226
Let d = 29 - 31. Let a(z) = 80*z**3 - 270*z**2 - 2645*z - 3240. Let h(t) = -3*t**3 + 10*t**2 + 98*t + 120. Let q(y) = d*a(y) - 55*h(y). Factor q(n).
5*(n - 6)*(n + 2)**2
Let a(f) = 2*f**3 - 1332*f**2 + 293046*f - 21587716. Let r(j) = 6*j**3 - 3995*j**2 + 879138*j - 64763149. Let h(z) = 17*a(z) - 6*r(z). Factor h(w).
-2*(w - 221)**3
Suppose 9 = 8*a - 7. Suppose 0 = -9*y + a*y + 49. Find h, given that -16 + 5*h**2 + 16*h**3 + 7*h**4 - 16*h + y*h**2 - 3*h**4 = 0.
-2, -1, 1
Suppose 5*k - 10*k + 15 = 0. Let -4*r**4 + 12*r**2 - 23*r - 16 + 141*r**k - 133*r**3 + 7*r = 0. What is r?
-1, 2
Find g such that -10*g**3 + 0 - 60/13*g - 28/13*g**4 - 178/13*g**2 = 0.
-15/7, -2, -1/2, 0
Suppose -55*q + 109 = 109. Find b such that -6/5*b**3 + 0*b + q + 2/5*b**4 - 4*b**2 = 0.
-2, 0, 5
Let l be ((-15)/144)/(114/2280)*3/(-5). Suppose l - 1/8*q**3 + 3/2*q**2 - 21/8*q = 0. What is q?
1, 10
Suppose -4330*m + 4500*m - 260 = 80. Solve 3/4*j**m + 0 + 0*j - 3/4*j**5 - 9/4*j**3 + 9/4*j**4 = 0 for j.
0, 1
Let v(r) be the second derivative of r**5/20 + r**4/2 - 157*r**3/6 - 165*r**2 - 473*r - 2. Factor v(o).
(o - 11)*(o + 2)*(o + 15)
Let x = -812 - -402. Let v = -407 - x. Suppose -3/4*j**2 - 3 + v*j = 0. Calculate j.
2
Suppose 1007*q + 30*q = 43*q + 1988. Factor 18/5*r + 24/5*r**q + 0 + 6/5*r**3.
6*r*(r + 1)*(r + 3)/5
Factor 2136*j - 9*j**3 - 1098 - 5336*j**2 - 1102 - j**3 + 2200.
-2*j*(j + 534)*(5*j - 2)
Let d(m) be the third derivative of 2*m**7/105 - 67*m**6/30 + 84*m**5/5 - 172*m**2 + 4*m + 3. Determine l so that d(l) = 0.
0, 4, 63
Let l(h) be the third derivative of -h**6/480 - 361*h**5/20 - 130321*h**4/2 - 376367048*h**3/3 - 23*h**2 - 29*h. Factor l(b).
-(b + 1444)**3/4
Let s be (-6069)/5355 - 7/(70/(-12)). Let m(p) be the second derivative of -2/3*p**3 + 0 + 41*p - 12/5*p**2 - s*p**4. Factor m(f).
-4*(f + 2)*(f + 3)/5
Let l = -202 + 215. Suppose -2*o + 8 = 0, 2*j - 2*o + 1 - 9 = 0. Solve 3*z**2 + 7*z + 7 + l*z + 2*z**2 + j = 0 for z.
-3, -1
Let y be (-39)/26 - (-338)/52. Let m(o) be the third derivative of 0*o - 7/90*o**4 - 1/450*o**y - 49/45*o**3 - 19*o**2 + 0. Factor m(n).
-2*(n + 7)**2/15
Let a(s) = -s - 30*s**2 - 25*s**2 - 1 + 56*s**2. Suppose 4*v - 5 = j - 0*j, 5*j = -5*v. Let o(u) = 4*u**2 - 6*u - 13. Let g(z) = v*o(z) - 3*a(z). Factor g(y).
(y - 5)*(y + 2)
Let q be 13 - (18 - (-690)/(-23)). Let y(w) be the third derivative of -q*w**2 + 0*w + 0 + 1/30*w**5 - 1/12*w**4 + 0*w**3. Let y(h) = 0. What is h?
0, 1
Let s(d) be the third derivative of -d**7/840 + 11*d**6/40 - 1321*d**5/60 + 638*d**4 - 26912*d**3/3 - 2188*d**2. Factor s(t).
-(t - 58)**2*(t - 8)**2/4
Let n = 2831870/33 + -257440/3. Let n*p + 18/11*p**2 + 6/11*p**3 + 0 - 2/11*p**4 = 0. What is p?
-1, 0, 5
Suppose -3*o + 28 = o + 4*l, -l = -2*o + 2. Suppose -4*r + 44 = 3*k, 11*k + 27 = 15*k - r. Suppose -13 - k + 9 - 15*x**o + 21*x**2 + x + 23*x = 0. Calculate x.
-1, 2/5, 2
Let c be (-109)/654 + 10/24. Find y such that -c*y + 1/2*y**3 - 1/4*y**5 - 1/2 + y**2 - 1/2*y**4 = 0.
-2, -1, 1
Let t = 293213 + -1466063/5. Factor 4/5*c**2 + 4/5*c**3 + t + 2/5*c**5 - 6/5*c - 6/5*c**4.
2*(c - 1)**4*(c + 1)/5
Suppose 0 = 5*r - 11*r - 284 + 302. Factor 45/2*b - 54 - 3/2*b**r + 3*b**2.
-3*(b - 3)**2*(b + 4)/2
Solve -13943*x**3 - 28392*x**2 + 168*x**4 - 1/2*x**5 + 0 - 28561/2*x = 0.
-1, 0, 169
Let g be (-1564)/(-612)*825/2530. Determine t, given that -1/6*t**2 - g*t - 2/3 = 0.
-4, -1
Suppose 2*s = -16*d - 96, 30 = 12*s - 9*s - 5*d. Let z(n) be the first derivative of s*n**2 - 3/16*n**4 - 1/2*n**3 - 19 + 0*n. What is f in z(f) = 0?
-2, 0
Let o(h) be the second derivative of -2*h**6/15 + 28*h**5 + 721*h**4/3 + 1160*h**3/3 - 2*h + 366. Factor o(g).
-4*g*(g - 145)*(g + 1)*(g + 4)
Let d(a) be the second derivative of -a**5/5 + a**4/4 + a**3/6 - 9*a**2/2 - 180*a. Let o(j) = j**3 + 2. Let g(x) = d(x) + 3*o(x). Factor g(f).
-(f - 3)*(f - 1)*(f + 1)
Suppose -29 = -s - 5*j, -4*s + j = -0*s - 11. Let o(f) be the first derivative of 1/24*f**4 + 13/18*f**3 + s*f**2 + 6*f + 7. Factor o(n).
(n + 1)*(n + 6)**2/6
Find y, given that -y**3 - 892*y - 20 - 231 - 284*y**2 + 58 + 58*y**2 - 695 = 0.
-222, -2
Let 