ve of f(v). Factor h(t).
(t + 2)*(65*t + 2)/4
Suppose 1456 = -h + 3*t + 4694, -4*t = -4. Factor -68*g**3 + 6477 + 3*g**4 - 7*g**4 - 256*g - h - 3236 - 320*g**2.
-4*g*(g + 1)*(g + 8)**2
Let i(c) be the second derivative of -3*c**5/20 - 81*c**4/4 + 42*c**3 + 246*c**2 + 1262*c. Factor i(h).
-3*(h - 2)*(h + 1)*(h + 82)
Let x(r) be the first derivative of 3*r**5/5 + 27*r**4/2 - 20*r**3 - 27*r**2 + 57*r - 3942. Factor x(k).
3*(k - 1)**2*(k + 1)*(k + 19)
Factor 11/2*m**3 + 1/4*m**4 - 27 - 127/4*m**2 + 53*m.
(m - 2)**2*(m - 1)*(m + 27)/4
Let a(l) = -189 + 22*l - 9 - 103 - 28*l + 14*l. Let b be a(38). Factor -4/3*m**2 - 2/3*m - 2/3*m**b + 0.
-2*m*(m + 1)**2/3
Let y = 15 - 12. Let 11*q + 20*q**5 + 36*q**4 - 41*q**5 + 5*q - 44*q**y + 13*q**5 = 0. Calculate q.
-1/2, 0, 1, 2
Let b(t) be the first derivative of -t**4 - 2452*t**3 - 2254614*t**2 - 921385588*t - 1673. Factor b(q).
-4*(q + 613)**3
Suppose 0 = 5*y + 15 + 50. Let a = -10 - y. Factor -43*j**2 - 15 - a*j**2 + 7 + 4*j**2 + 40*j.
-2*(3*j - 2)*(7*j - 2)
Let w = -30 - -33. Let c be w - (2 + (-6 - -3)). Factor -11*z**5 + 15*z**5 - 8*z**c - 4*z**3 + z**2 + 7*z**2.
4*z**2*(z - 2)*(z - 1)*(z + 1)
Let x = 351733 + -351733. Factor -33/2*j**2 + 9/4*j + 21/4*j**3 + x.
3*j*(j - 3)*(7*j - 1)/4
Suppose v - 3*v + 2250 = 0. Solve 6*r**3 - 190*r**2 - 137*r - 42*r + 9*r**4 + 254*r + v - r**5 = 0 for r.
-3, 5
Let i(b) be the third derivative of -b**5/240 + b**4/4 + 2*b**2 - 1445. Factor i(p).
-p*(p - 24)/4
Let d be -2 + 59 - 2060/40. Find i, given that 4/3*i**2 - d*i + 2/3 = 0.
1/8, 4
Let g(t) be the first derivative of 110*t**4/19 - 182*t**3/57 + 4*t**2/19 - 7319. Suppose g(c) = 0. Calculate c.
0, 1/20, 4/11
Suppose 12*b = 5*s + 172, 3467*s - 3466*s + 5*b - 84 = 0. Factor -1/4*q**5 + 0*q - 4*q**2 + 7/4*q**s + 0 - 2*q**3.
-q**2*(q - 4)**2*(q + 1)/4
Let j(o) = -2*o**3 - 33*o**2 + 462*o - 27. Let x be j(9). Factor 0*g**2 + 0*g + 1/4*g**5 + x - 5/4*g**4 + 3/2*g**3.
g**3*(g - 3)*(g - 2)/4
Let p = 93110160/197 - 2666197403174/5641095. Let u = p + 2/1909. Factor 16/15*m + u + 2/15*m**2.
2*(m + 4)**2/15
Let b be (64/80)/((2/10)/(-1)). Let j be (6 + -5)*(6 - (-21)/b). Let 3/4*c - 3/2*c**2 - j*c**3 + 3/2 = 0. Calculate c.
-2, -1, 1
Let o(s) be the second derivative of s**7/210 - 191*s**6/75 + 37237*s**5/100 - 12033*s**4/5 + 23814*s**3/5 + 1551*s. Factor o(u).
u*(u - 189)**2*(u - 2)**2/5
Let t(u) be the second derivative of u**7/252 + u**6/60 - 7*u**5/24 - 13*u**4/24 + 35*u**3/18 + 1739*u. Suppose t(l) = 0. What is l?
-7, -2, 0, 1, 5
Let o be (9 - 4/(-25)*-56)/(21/70). Factor -4/5*n + 0 - o*n**2.
-2*n*(n + 6)/15
Let x(f) be the second derivative of -f**7/2520 + f**5/120 - f**4/36 - 10*f**3/3 - 3*f - 1. Let w(b) be the second derivative of x(b). Factor w(m).
-(m - 1)**2*(m + 2)/3
Determine c, given that -46*c**3 + c**5 - 614*c**3 + 4*c**5 + 1251*c**4 - 1456*c**4 = 0.
-3, 0, 44
Let j = -102410 + 102434. Let -j*a + 8/5 + 90*a**2 = 0. Calculate a.
2/15
Suppose -719*d - s - 5 = -722*d, 15 = 3*d - 3*s. Let c(m) be the second derivative of -1/42*m**3 + 0 - 2/35*m**5 + d*m**2 + 27*m - 1/14*m**4. Factor c(t).
-t*(2*t + 1)*(4*t + 1)/7
Factor -7215*l + 14364*l - 7338*l - 3*l**2.
-3*l*(l + 63)
Let c(n) be the third derivative of -n**5/240 + 53*n**4/32 + 845*n**3/12 - 480*n**2. Let c(i) = 0. Calculate i.
-10, 169
Let i be 62/(-4) + (-12013)/(-586). Find j such that 5/4*j - i*j**2 + 5 - 5/4*j**3 = 0.
-4, -1, 1
Let 1650 - 355*q - 1/4*q**3 + 43/2*q**2 = 0. What is q?
10, 66
Let k = -1088967 - -11981679/11. Let -k*z**2 + 0*z + 0 - 156/11*z**3 - 2/11*z**4 = 0. What is z?
-39, 0
Let q = 2127 + -2122. Let k(s) be the third derivative of 0*s + 17*s**2 + 0*s**4 + 1/840*s**8 + 0*s**3 + 0*s**6 + 1/525*s**7 + 0*s**q + 0. Factor k(u).
2*u**4*(u + 1)/5
Suppose -16*d + 96 = -3*m, 4*m + 9*d = 10*d - 6. Let u(o) be the second derivative of 37*o - 1/12*o**3 + 0*o**2 + m - 1/8*o**4. Factor u(k).
-k*(3*k + 1)/2
Suppose 0 = -2*l - 2*t + 4, -4*l + 1615*t - 1612*t = 6. Find c such that l + 2/5*c**3 - 4*c - 6/5*c**2 = 0.
-2, 0, 5
Let t(x) = 1363*x - 66785. Let v be t(49). Suppose -37/3*a + 68/3*a**v - 5/3*a**3 - 26/3 = 0. What is a?
-2/5, 1, 13
Suppose 2*u = 5*u. Suppose 0 = -m + 3 - u. Factor -2*l + 4*l**2 + 1 - 10*l**3 - 5 + 4*l**m + 8*l**3.
2*(l - 1)*(l + 1)*(l + 2)
Let z(x) = -2*x - 66. Let y be z(-35). Suppose 2*r**4 + r**3 + r**2 - 2088*r + 2087*r - 3*r**y = 0. Calculate r.
-1, 0, 1
Let w(t) be the third derivative of -t**6/48 - 385*t**5/24 + 5*t**4/48 + 1925*t**3/12 - t**2 - 9*t - 5. Determine s, given that w(s) = 0.
-385, -1, 1
Let c(o) = -140*o + 7. Let j be c(-1). Suppose 31*b - 162 - 3*b - 10*b**2 + j - 3*b = 0. Calculate b.
1, 3/2
Factor -5845*c**2 - 17746*c - 3199*c**2 - 194754*c - 13118*c**2 + 6875000 - 695*c**3 - 7088*c**2 - 5*c**4.
-5*(c - 11)*(c + 50)**3
Let r be (4/8*3)/(6/28). Factor -25*b + 2*b**2 + 19 + b**3 + 2 - r*b**2 + 8*b.
(b - 7)*(b - 1)*(b + 3)
Let g(d) be the third derivative of -d**6/18 + 7*d**5/5 + 238*d**4/9 + 40*d**3 - 2989*d**2. What is w in g(w) = 0?
-5, -2/5, 18
Factor 6000*y**2 + 13 - 496*y + 16*y - 4 - 15*y + 1 + 3125*y**3.
5*(y + 2)*(25*y - 1)**2
Suppose -g - 16*a + 498 = -19*a, -1040 = -2*g - 5*a. Let y = -501 + g. Factor -y*s**2 - s + 0 - 81/4*s**3.
-s*(9*s + 2)**2/4
Let p be 6/(-12) - (-5816)/(-3696). Let h = p - -55/21. Let -2/11*z**4 + 8/11 - h*z**2 + 10/11*z - 10/11*z**3 = 0. Calculate z.
-4, -1, 1
Let m(x) be the third derivative of 2*x**7/35 + 62*x**6/15 - 167*x**5/5 - 131*x**4/3 + 240*x**3 - 3440*x**2. Let m(o) = 0. Calculate o.
-45, -1, 2/3, 4
Let i(y) be the first derivative of -4*y**3/3 - 336*y**2 - 3260*y + 7907. Suppose i(f) = 0. Calculate f.
-163, -5
Let s(c) = -7*c**3 + 136*c**2 - 266*c + 125. Let n(y) = -y**3 - 2*y - 1. Let g be (-20)/(-6 + 11) + 5. Let o(p) = g*s(p) - 3*n(p). Factor o(m).
-4*(m - 32)*(m - 1)**2
Let x(y) be the second derivative of 0*y**3 + 0*y**5 - 1/60*y**6 - 1/4*y**2 + 1/12*y**4 + 133*y + 0. Factor x(b).
-(b - 1)**2*(b + 1)**2/2
Suppose 217152 = 162*l - 58*l. Let p = 10443/5 - l. Factor -p - 1/5*f + 3/5*f**2 + 1/5*f**3.
(f - 1)*(f + 1)*(f + 3)/5
Suppose 0 = 4*g - 0*g - x - 19, x - 9 = -3*g. Factor 24*s**g - 864*s - 510*s**3 - 81*s**4 + 36*s**4 - 3168*s**2.
-3*s*(s + 12)**2*(7*s + 2)
Let y = 229/6 - 221/6. Let z(m) be the first derivative of 23 + 0*m**2 - 8/3*m**6 - 28/5*m**5 + y*m**3 - 2*m**4 + 0*m. Factor z(q).
-4*q**2*(q + 1)**2*(4*q - 1)
Let w(h) = -20*h**3 + 1572*h**2 - 3153*h + 1610. Let l(s) = 32*s**3 - 3144*s**2 + 6307*s - 3210. Let j(v) = -3*l(v) - 5*w(v). Factor j(i).
4*(i - 1)**2*(i + 395)
Let n(i) = 0*i - 3 - i + 4 - i**2. Suppose -79 + 236 = 32*z - 131. Let l(j) = -12*j**2 - 21*j - 3. Let x(k) = z*n(k) - l(k). Suppose x(d) = 0. What is d?
-2
Let w(y) = -4*y**5 - 4*y**4 - 15*y**3 - 6*y**2 + 3*y. Let b(k) = -7*k**5 - 9*k**4 - 30*k**3 - 13*k**2 + 5*k. Let p(x) = -3*b(x) + 5*w(x). Factor p(m).
m**2*(m + 1)*(m + 3)**2
Let p(k) = k**5 - k**3 - 2*k**2 + 1. Let b(c) = -3*c**5 + 10*c**4 - 17*c**3 + 16*c**2 - 4*c - 1. Let t(g) = b(g) + p(g). Factor t(w).
-2*w*(w - 2)*(w - 1)**3
Let p(s) be the third derivative of s**7/105 - 19*s**6/30 + 12*s**5/5 - 722*s**2 - 2. What is u in p(u) = 0?
0, 2, 36
Let j(x) be the third derivative of -x**6/960 - 133*x**5/480 + x**4/192 + 133*x**3/48 + 716*x**2. Factor j(w).
-(w - 1)*(w + 1)*(w + 133)/8
Let t(n) = -2*n**2 + 11*n - 10. Suppose g + 68 = 18*g. Let m be t(g). Factor 250/9 - 2/9*l**3 + 10/3*l**m - 50/3*l.
-2*(l - 5)**3/9
Let -1486*j + 92717*j**3 - 480*j**2 - 92722*j**3 + 91*j = 0. Calculate j.
-93, -3, 0
Let h(j) be the first derivative of 5*j**8/252 - 4*j**7/9 + 392*j**6/135 + 109*j**3/3 - 239. Let z(b) be the third derivative of h(b). Factor z(v).
4*v**2*(5*v - 28)**2/3
Let t = 11 - -33. Let y = -40 + t. Let r(f) = 9*f**3 + 30*f**2 + 4*f. Let x(u) = 125*u**3 + 420*u**2 + 55*u. Let p(k) = y*x(k) - 55*r(k). What is s in p(s) = 0?
-6, 0
Let g(j) = -2*j**4 - 542*j**3 + 1070*j**2 - 526*j - 5. Let d(n) = 5*n**4 + 1085*n**3 - 2141*n**2 + 1051*n + 11. Let a(b) = -5*d(b) - 11*g(b). Solve a(y) = 0.
0, 1, 177
Suppose -95 - 1 = -8*o. Let -4*c**4 - o*c**3 + 47 - 5*c + 4*c**5 - 47 - 3*c + 20*c**2 = 0. What is c?
-2, 0, 1
Suppose -964*n = -958*n - 18. Solve -2*m - 1362*m**n + 20 + 1367*m**3 + 42*m + 25*m**2 = 0 for m.
-2, -1
Let h(n) = -5*n**5 + 94*n**4 - 