 + 0 - 2/5*z**3 + w*z**2 = 0. Calculate z.
-1, 0
Let t(w) be the third derivative of -19/540*w**6 + 13/945*w**7 + 0*w + 57*w**2 + 0 - 29/54*w**5 - 1/1512*w**8 - 44/27*w**4 - 64/27*w**3. Factor t(y).
-2*(y - 8)**2*(y + 1)**3/9
Let m(s) be the second derivative of 3*s**5/20 + 25*s**4/4 - 13*s**3 + 365*s + 3. Factor m(l).
3*l*(l - 1)*(l + 26)
Let f be 1 - (0 + 1 + -2). Let d = 776957 + -776952. Let -5/2*x**f + d*x + 15/2 = 0. What is x?
-1, 3
Let b(x) = -14*x**2 - 76*x + 2162. Let t be b(10). Factor 1/2*v**t + 4*v + 7/2.
(v + 1)*(v + 7)/2
Let n = -23988 - -263870/11. Find h, given that -n*h**4 - 42/11*h + 0 + 82/11*h**2 - 38/11*h**3 = 0.
-21, 0, 1
Let k(d) be the second derivative of 61*d**5/5 + 731*d**4/18 - 2*d**3/9 - 4*d - 285. Suppose k(m) = 0. What is m?
-2, 0, 1/366
Let h = 21543 - 129257/6. Let m(c) be the second derivative of 1/12*c**4 + 0 - 10*c - 1/60*c**5 + h*c**2 - 1/6*c**3. Factor m(u).
-(u - 1)**3/3
Factor 51*r + 315/2 - 1/2*r**2.
-(r - 105)*(r + 3)/2
Let o(c) = 4*c**5 + 76*c**4 - 124*c**3 - 636*c**2 + 304*c + 416. Let k(d) = -d**5 + d**4 + 2*d**3 + 3*d**2 + 2*d - 2. Let t(h) = -8*k(h) + o(h). Solve t(z) = 0.
-6, -3, -2/3, 1, 3
Let a(j) be the first derivative of -j**5/3 - 925*j**4/12 - 14105*j**3/3 + 14415*j**2/2 + 11547. Let a(q) = 0. What is q?
-93, 0, 1
Solve 0 - 3*u**3 + 3*u + 3/7*u**2 - 3/7*u**4 = 0.
-7, -1, 0, 1
Suppose 14 = 26*x - 2*c, 6*c + 7 = 5*c. Suppose x + 3/4*l**4 + 3*l**3 + 9/4*l**2 + 0*l = 0. Calculate l.
-3, -1, 0
Factor -13/10*f**2 + 54/5 + 1/10*f**3 + 12/5*f.
(f - 9)*(f - 6)*(f + 2)/10
Let a = 153 + -151. What is p in 2*p**5 + 6*p**4 - 2*p - 2*p - 6*p**a - 682*p**3 + 684*p**3 = 0?
-2, -1, 0, 1
Suppose 6895 = -154*s + 149*s. Let v = -1377 - s. Factor 1/3*w**v + 0*w + 0 - 1/3*w**3.
-w**2*(w - 1)/3
Factor 369664/3 + 1/3*r**2 - 1216/3*r.
(r - 608)**2/3
Let h = 270/143 - 1604/1001. Suppose 0 = 5*n - 9 - 1. Factor 4/7 - h*x**n - 2/7*x.
-2*(x - 1)*(x + 2)/7
Suppose -1732/7 + 2/7*h**2 + 862/7*h = 0. Calculate h.
-433, 2
Determine x, given that -112*x**3 - 1750*x + x**4 + 1274*x**2 + x**4 - 2366*x = 0.
0, 7, 42
Let i be -2 - -11 - 0/7. Let p be (-8)/(-6) + -4 + 267/i. Factor 18*v - 24*v - 9*v - 21*v - 12*v**2 - p.
-3*(2*v + 3)**2
Solve -8/13*q**2 - 114/13*q + 0 + 10/13*q**3 = 0.
-3, 0, 19/5
Let t(c) be the third derivative of -c**5/210 - 1087*c**4/42 - 1181569*c**3/21 - 1213*c**2 + 2*c. Find b, given that t(b) = 0.
-1087
Suppose 2*a + 19*p = 24*p + 54, 3*a + 4*p = -34. Solve 1/6*u**4 - 5/6*u**3 + 0*u + 1/2*u**a + 1/6*u**5 + 0 = 0.
-3, 0, 1
Let l(b) = 64*b**2 - 139*b**2 + 81*b**2 + 2463 - 313*b + 993. Let d(p) = -9*p**2 + 467*p - 5184. Let c(q) = 5*d(q) + 7*l(q). Solve c(h) = 0 for h.
24
Suppose 0 = 3*b + 8*i - 10*i - 23, 0 = 5*i + 5. Suppose 13*z - 80 = -b*z. Factor -2/5*l**z - 6/5*l + 0 - 2/5*l**3 + 2*l**2.
-2*l*(l - 1)**2*(l + 3)/5
Let z(t) be the second derivative of -3/10*t**3 - 2 + 38*t + 1/100*t**5 + 1/2*t**2 + 1/20*t**4. Let z(b) = 0. Calculate b.
-5, 1
Factor -49/6*n - 1/6*n**2 - 164/3.
-(n + 8)*(n + 41)/6
Find n, given that 730/7*n + 368/7*n**2 + 2/7*n**3 + 52 = 0.
-182, -1
Let a(z) = -393*z**3 - 3288*z**2 - 6627*z - 3327. Let o(b) = -105*b**3 - 822*b**2 - 1657*b - 832. Let g(c) = -4*a(c) + 15*o(c). Solve g(i) = 0.
-1, 276
Let b(w) be the first derivative of -21/16*w**4 - 3*w - 39/8*w**2 + 304 - 15/4*w**3 - 3/20*w**5. Factor b(m).
-3*(m + 1)**3*(m + 4)/4
Let 2/5*d**4 - 8*d**2 + 24*d - 6*d**3 + 128/5 = 0. Calculate d.
-2, -1, 2, 16
Let m(b) be the second derivative of 0*b**4 + 1/42*b**7 + 0*b**2 + 8 - b + 7/150*b**6 + 0*b**3 + 1/50*b**5. Factor m(z).
z**3*(z + 1)*(5*z + 2)/5
Find q such that 0*q**5 + 0*q**5 - 13*q**4 - 139*q**2 + 2*q**5 + 152 - 3*q**5 - 923*q + 817*q + 107*q**3 = 0.
-19, -1, 1, 2, 4
Let n(a) = 72*a**2 - 274*a - 56. Let g be n(4). Let h(q) be the first derivative of 2*q**3 - 44 + g*q**2 + 2/5*q**5 + 2*q**4 + 0*q. Let h(d) = 0. What is d?
-3, -1, 0
Let g(d) be the second derivative of d**6/10 + d**5/15 - 4*d**4/3 + 8*d**3/3 + 13*d**2 - 77*d. Let s(f) be the first derivative of g(f). Factor s(k).
4*(k - 1)*(k + 2)*(3*k - 2)
Solve -2 + 22/5*m - 14/5*m**2 + 2/5*m**3 = 0 for m.
1, 5
Suppose -325*l + 390*l = 325. Let u(z) be the first derivative of 1/2*z**2 + 1/5*z**l + 9 - 1/4*z**4 - 1/3*z**3 + 0*z. Factor u(s).
s*(s - 1)**2*(s + 1)
Let l be -1*2 - 20/(-35)*1721. Let d = l - 980. Find v such that 12/7*v**2 + 2/7*v**3 + d*v + 0 = 0.
-5, -1, 0
Let m(x) be the second derivative of x**7/168 - 117*x**6/20 + 123201*x**5/80 - 1950*x. Factor m(g).
g**3*(g - 351)**2/4
Let b(c) = 0*c**2 + c - 10576*c**3 + 10575*c**3 - c**2 - c**4. Let l(i) = -10*i**4 + 10*i**3 - 20*i**2 + 10*i. Let d(y) = -5*b(y) + l(y). Solve d(w) = 0 for w.
0, 1
Let f(l) be the third derivative of 0*l + 0 + 34/105*l**7 + 31/30*l**6 + l**5 - 196*l**2 + 1/84*l**8 + 0*l**4 + 0*l**3. Determine a so that f(a) = 0.
-15, -1, 0
Let v(i) be the first derivative of -4*i**5/5 + 2*i**4 + 4*i**3/3 - 4*i**2 + 182. Find w such that v(w) = 0.
-1, 0, 1, 2
Let x(j) = 16*j**2 - 44*j + 24. Let p(v) = 65*v**2 - 178*v + 96. Let t be (27*(-2 + 7/3))/1. Let l(f) = t*x(f) - 2*p(f). Factor l(u).
2*(u - 2)*(7*u - 6)
Let q = 306 - 302. Suppose 0 = -4*o, j + q*j - 3*o - 20 = 0. Factor 4/9 - 16/9*w**3 + j*w**2 - 8/3*w.
-4*(w - 1)**2*(4*w - 1)/9
Let j = 1031 + -1031. Suppose j = 6*r + 44 - 44. Factor r + 2/9*m**3 - 2/9*m**4 + 2/9*m**2 - 2/9*m.
-2*m*(m - 1)**2*(m + 1)/9
Let a(w) be the first derivative of w**5/10 - 35*w**4/8 - 41*w**3/6 + 183*w**2/4 - 54*w - 855. Factor a(z).
(z - 36)*(z - 1)**2*(z + 3)/2
Let q(i) = i**3 - 8*i**2 + 25*i - 99. Let v be q(6). Let w be (-136)/(-20) - (-126)/v. Factor w*g**3 - 28/5*g**2 + 64/5*g - 48/5.
4*(g - 3)*(g - 2)**2/5
Let m(v) = 17*v**2 - 145*v + 1601. Let z = -345 + 347. Let t(n) = -5*n**2 + 48*n - 533. Let i(p) = z*m(p) + 7*t(p). Solve i(o) = 0.
23
Let r be -4*(5*3/(-15))/2. Let w(h) be the first derivative of 8 + 5/4*h**4 + 5/3*h**3 - 5*h - 5/2*h**r. Factor w(y).
5*(y - 1)*(y + 1)**2
Let n be (8513/(-639))/(((-1400)/15)/8). Let c = n + 1/1065. Let -c*t**2 + 0*t + 0 - 10/7*t**4 + 2/7*t**5 + 16/7*t**3 = 0. Calculate t.
0, 1, 2
Let c = 1/6466 - -9689/64660. Let q(r) be the third derivative of 27*r**2 + c*r**5 + 0*r**3 + 0 - 1/40*r**6 + 0*r + 1/2*r**4. Factor q(v).
-3*v*(v - 4)*(v + 1)
Let q(x) be the second derivative of -x**4/9 - 106*x**3/9 + 112*x**2 - 63*x + 27. Let q(o) = 0. Calculate o.
-56, 3
Suppose 5147*l + 1014 = 5654*l. Find y such that -140*y**l - 146/3*y**3 - 256/3 - 10/3*y**4 + 832/3*y = 0.
-8, 2/5, 1
Let d(o) = o**3 - 8*o**2 + 8*o + 2. Let n be d(7). Suppose 2 = n*k - 8*k. Let -4*v**3 - 6*v + 5*v**3 + 3*v**k + 2*v**3 = 0. Calculate v.
-2, 0, 1
Factor -1/4*a**3 + 7/2*a - 5/4*a**2 + 0.
-a*(a - 2)*(a + 7)/4
Let q(f) be the first derivative of -2*f**3/15 - 27*f**2 + 548*f/5 + 451. Factor q(l).
-2*(l - 2)*(l + 137)/5
Let a = -735 + 737. Factor -88*c**2 + 20*c**3 + 216 - 492*c - 27*c**a - 37*c**2 + 24*c**2.
4*(c - 9)*(c + 3)*(5*c - 2)
Let f(s) be the third derivative of s**7/1680 - 101*s**6/960 + 33*s**5/160 + 101*s**4/192 - 25*s**3/12 + 8*s**2 - 120. Determine t, given that f(t) = 0.
-1, 1, 100
Let n = 30533 + -30530. Let r(k) be the third derivative of 0*k + 1/10*k**5 + 0 - 1/2*k**4 + 1/70*k**7 - 3/2*k**n + 1/10*k**6 - 10*k**2. Factor r(l).
3*(l - 1)*(l + 1)**2*(l + 3)
Let d be (30044/370)/((-107)/(-55) + -2). Let n = d - -1489. Factor 2304*g - 288*g**2 - n*g**4 + 16*g**3 - 6912.
-(g - 12)**4/3
Let c(b) be the first derivative of b**3 + 1089*b**2 - 4368*b + 4954. Factor c(d).
3*(d - 2)*(d + 728)
Suppose -61 = -2*n - 3. Suppose 22*m - n = 21*m. Solve -12 - 4*c - 4*c**2 - 17 + m = 0.
-1, 0
Let u be (-154 - -156) + ((-1602)/(-1052))/(-3). Let i = u - -2/263. Determine y so that 0*y - 1/2*y**4 + i*y**3 + 0 - y**2 = 0.
0, 1, 2
Let u(b) be the second derivative of -b**5/20 + 71*b**4/6 - 139*b**3/6 - 141*b**2 - 1567*b. Factor u(o).
-(o - 141)*(o - 2)*(o + 1)
Let b(t) = 22*t - 262. Let y be b(12). Factor 503*h + 128 + h**2 - 235*h + h**y - 236*h.
2*(h + 8)**2
Let x(p) be the third derivative of -p**5/12 - 7*p**4/6 + 7*p**3/3 - 90*p**2. Let i be x(-6). Factor 2/5*w**i + 2/5*w**5 + 0 + 6/5*w**4 + 6/5*w**3 + 0*w.
2*w**2*(w + 1)**3/5
What is i in 243*i**2 + 57 - 84*i**4 - 42*i**3 + 507/2*i + 9/2*i**5 = 0?
-1, -1/3, 2, 19
Let p = -12/11