 is f?
-16, 47
Let h(q) be the second derivative of 5*q**3 - 5/12*q**4 + 40*q**2 - 7*q - 1. Let h(a) = 0. Calculate a.
-2, 8
Let 1732 - 4*f**3 - 59387*f**2 + 1740 - 6948*f + 62867*f**2 = 0. Calculate f.
1, 868
Let k(r) be the first derivative of r**5 + 35*r**4/2 - 335*r**3/3 + 220*r**2 - 180*r - 6127. Determine g so that k(g) = 0.
-18, 1, 2
Let j(t) = 16*t + 76. Let u be j(-4). Factor -1683*v**3 - 24*v - 1647*v**3 + 2*v**5 - 16 + 3352*v**3 + u*v**4 + 4*v**2.
2*(v - 1)*(v + 1)*(v + 2)**3
Let k(d) = 8*d**3 + 16*d**2 - 14*d + 18. Let b(o) = -1165*o**2 - 17 + 15*o - 4*o**3 - 3*o**3 + 1150*o**2. Let m(j) = -7*b(j) - 6*k(j). Factor m(w).
(w - 1)**2*(w + 11)
Let k be 49/(-147) - (-2 - 826/(-474)). Let n = k + 200/553. Let 6/7*w**5 + 0*w**3 + 0 - n*w**4 + 0*w + 0*w**2 = 0. Calculate w.
0, 1/3
Let m(t) = -2*t**2 + 49*t + 6. Let c be m(25). Let n be -6*(-7)/(-252)*(c - 1). Find b, given that -16/3*b**4 + 4/3*b**2 + 0 - 2/3*b**3 - n*b**5 + 0*b = 0.
-1, 0, 2/5
Let l = -492641/12 - -164215/4. Determine w so that -20/3*w + 12 + l*w**2 = 0.
2, 18
Let m(s) be the second derivative of -s**7/3360 + 7*s**6/160 - 441*s**5/160 + 47*s**4/6 - 65*s + 1. Let p(d) be the third derivative of m(d). Factor p(j).
-3*(j - 21)**2/4
Let w(v) = -233*v**3 - 261*v**2 + 1889*v - 4590. Let f(c) = 31*c**3 + 37*c**2 - 270*c + 656. Let r(m) = 15*f(m) + 2*w(m). What is b in r(b) = 0?
5, 6, 22
Let b(i) be the first derivative of -i**7/1120 + i**6/160 + i**5/16 + 44*i**3/3 + 32. Let y(h) be the third derivative of b(h). Suppose y(f) = 0. Calculate f.
-2, 0, 5
Let c = 129 - -13. Let k = c + -92. Find w such that -16*w + 0*w**2 - 2*w**2 - 4*w - k = 0.
-5
Let 32 - 1235*k**2 - 415*k**2 + 40*k**4 - 54*k**3 - 132 - 262*k**3 - 399*k**3 - 995*k = 0. Calculate k.
-1, -1/8, 20
Suppose 0*p**2 + 144157*p - 4*p**2 - 144013*p + 820 = 0. Calculate p.
-5, 41
Let a(h) be the second derivative of -1/24*h**3 - 4*h - 42 + 0*h**2 - 1/48*h**4. Factor a(q).
-q*(q + 1)/4
Suppose 23 = 4*o - 9*j + 10*j, 0 = 6*o + j - 31. Let l(v) be the first derivative of 5/3*v**3 + 3*v - 1/4*v**o - 7/2*v**2 + 9. Factor l(f).
-(f - 3)*(f - 1)**2
Let u(q) be the second derivative of 1/5*q**6 + 3*q + 0*q**2 + 19 - 4/3*q**4 - 1/10*q**5 - 4/3*q**3. Factor u(o).
2*o*(o - 2)*(o + 1)*(3*o + 2)
Let i(y) be the third derivative of -y**8/504 - 4*y**7/315 - y**6/60 + 2*y**5/45 + y**4/9 + 762*y**2. Determine o, given that i(o) = 0.
-2, -1, 0, 1
Solve 40078*t - 20038*t - 20036*t - t**2 + 45 = 0 for t.
-5, 9
Let u(r) be the first derivative of 2*r**3/27 + 47*r**2/3 - 1240. Factor u(k).
2*k*(k + 141)/9
Let t be 1/3*1*990/924. Let d = -1/14 + t. Factor -2/7*x**4 + 0 + 4/7*x**2 + d*x**3 + 0*x.
-2*x**2*(x - 2)*(x + 1)/7
Let i(s) be the second derivative of 127*s + 0 - 1/55*s**5 + 8/33*s**3 - 1/66*s**4 + 4/11*s**2. Solve i(m) = 0 for m.
-2, -1/2, 2
Let c(n) be the third derivative of n**7/525 - 13*n**6/60 + 94*n**5/75 - 31*n**4/15 - 2309*n**2. Determine t, given that c(t) = 0.
0, 1, 2, 62
Let w = 40/43 - 34/129. Factor -1/6*n**3 + w*n**2 + 1/2*n - 3.
-(n - 3)**2*(n + 2)/6
Let i(b) be the second derivative of -5625/4*b**2 + 0 - 23/20*b**6 - 475/4*b**4 + 2125/4*b**3 - 97*b + 63/4*b**5 + 1/28*b**7. Factor i(t).
3*(t - 5)**4*(t - 3)/2
Suppose -7*u + 6*u = -250. Factor -u - 35*b**3 - 263 - 500*b**2 - 1855*b + 23.
-5*(b + 7)**2*(7*b + 2)
Let d = 14697 + -14690. Let g(u) be the third derivative of 1/3*u**6 + 2/35*u**d + 0 + u**4 + 4/5*u**5 + 2/3*u**3 + 18*u**2 + 0*u. Factor g(z).
4*(z + 1)**3*(3*z + 1)
Suppose -2418 = -29*q + 23*q. Factor -776*i + 395*i + q*i + 2*i**2.
2*i*(i + 11)
Suppose 29376*b - 29380*b + 8 = 0. Factor 2/3*m**4 + 2/3*m + 2*m**3 + b*m**2 + 0.
2*m*(m + 1)**3/3
Let 0*b - 973 + 514 + 2*b + 3*b**2 - 26*b = 0. Calculate b.
-9, 17
Let b(k) = -34*k**2 + 798*k + 4664. Let r(z) = 9*z**2 - 198*z - 1167. Let c(h) = -3*b(h) - 11*r(h). Factor c(a).
3*(a - 77)*(a + 5)
Suppose -157*m + 284 = 284. Let k(o) be the third derivative of -41*o**2 + m*o - o**3 + 1/8*o**4 + 0 + 1/20*o**5. Determine q, given that k(q) = 0.
-2, 1
Let q(j) = j**2 + 15*j + 12. Let w be q(-14). Let o be (-5)/w*(-4 + 6). Factor -10*b - 4*b**2 + 2*b**o + 4*b**4 + 8*b + 0*b**5.
2*b*(b - 1)*(b + 1)**3
Let h be (-16)/72 - (-25)/(-9). Let l(b) = -2*b**4 - 3*b**3 + 2*b**2 + 2*b - 1. Let j(q) = q**4 + q**3 - q**2 + 1. Let m(t) = h*l(t) - 3*j(t). Factor m(s).
3*s*(s - 1)*(s + 1)*(s + 2)
Let l(a) be the first derivative of -a**6/360 + a**5/4 + 18*a**2 + a + 76. Let t(c) be the second derivative of l(c). Factor t(s).
-s**2*(s - 45)/3
Let a(z) be the third derivative of 17*z**7/105 + z**6/5 - 17*z**5/30 - z**4 - 29*z**2 + 4*z. Find f, given that a(f) = 0.
-1, -12/17, 0, 1
Let k = -4317017/4 - -1079264. Factor 155/4*n - n**2 + k.
-(n - 39)*(4*n + 1)/4
Let z(s) = -10*s**4 - 110*s**3 - 306*s**2 + 16*s + 434. Let k(m) = -9*m**4 - 111*m**3 - 307*m**2 + 16*m + 431. Let b(d) = 6*k(d) - 5*z(d). Factor b(t).
-4*(t - 1)*(t + 2)**2*(t + 26)
Suppose 5*q - 4*r - 11 = 0, 0*q - 4*q + 14 = 2*r. Let y(n) = n + 9. Let k be y(-4). Factor 27*a**4 + 9*a**5 - 10*a**5 + 11*a**2 - 36*a**q + a**2 - 5*a**k.
-3*a**2*(a - 2)**2*(2*a - 1)
Let f(q) be the second derivative of -q**8/5280 - q**7/6930 - 5*q**4/12 + 7*q**3/6 - 75*q. Let x(z) be the third derivative of f(z). Factor x(p).
-2*p**2*(7*p + 2)/11
Let f(j) be the second derivative of -j**5/35 + 17*j**4/21 - 32*j**3/21 + 2259*j. What is o in f(o) = 0?
0, 1, 16
Let a = 713/298 - 282/149. Let -1/4*z**5 + 3/4*z**4 - a*z**2 + 3/4*z - 1/2*z**3 - 1/4 = 0. What is z?
-1, 1
Let x be 29/((-8)/(16/(-5))*360/450). Factor -x*n**2 + 112*n + 1/2*n**3 - 98.
(n - 14)**2*(n - 1)/2
Let i = -523759/3 + 174591. Factor 0 + i*d**2 - 2/3*d**4 - 8/3*d - 4/3*d**3.
-2*d*(d - 1)**2*(d + 4)/3
Let w(i) be the first derivative of i**3/6 + 11*i**2 + 43*i/2 - 575. Let w(m) = 0. Calculate m.
-43, -1
Let r = -98252 + 393023/4. Factor 7/2 + r*s + 1/4*s**2.
(s + 1)*(s + 14)/4
Let l(b) = -231*b**2 - 19*b + 18. Let r be l(1). Let s = r + 236. Factor 2/13*i**5 - 4/13*i**3 + 4/13*i**2 + 2/13*i - 2/13 - 2/13*i**s.
2*(i - 1)**3*(i + 1)**2/13
Let p be 30/(-75) + 452/5. Suppose -7*m = -2*m - p. What is g in 0*g**3 + 4*g**3 + 14*g**5 - m*g**5 = 0?
-1, 0, 1
Let l be ((-30)/(-25))/(27/225). Find a such that -19*a**2 + 9*a**2 + 18*a + 12*a**3 - 3*a**4 + l*a**2 + 33*a**2 = 0.
-1, 0, 6
Determine n so that -51/4*n + 3/8*n**2 + 279/8 = 0.
3, 31
Let a(x) be the third derivative of -x**7/1470 - x**6/315 + 11*x**5/210 + 2*x**4/7 - 28*x**3/3 - 24*x**2. Let l(n) be the first derivative of a(n). Factor l(b).
-4*(b - 3)*(b + 1)*(b + 4)/7
Let a = 4817161/360 + -13381. Let k(b) be the third derivative of 0*b - a*b**6 - 2*b**3 - 2/3*b**4 + 0 - 6*b**2 - 13/180*b**5. Suppose k(v) = 0. Calculate v.
-6, -1
Let r(a) be the third derivative of a**7/105 - 17*a**6/30 - 241*a**5/30 + 17*a**4/6 + 80*a**3 - 1879*a**2 + 2*a. Solve r(l) = 0.
-6, -1, 1, 40
Let z = -58 + 58. Suppose z = n + p + p + 6, -n - p = 2. Factor 4*h**3 + 38*h**n - 4*h**5 + 37*h**2 - 4*h**4 + 0*h**4 - 71*h**2.
-4*h**2*(h - 1)*(h + 1)**2
Let v(a) = -2*a**3 + 96*a**2 - 480*a + 684. Let u(h) = 2*h**3 - 95*h**2 + 481*h - 687. Let p(o) = -6*u(o) - 5*v(o). Solve p(d) = 0.
3, 39
Let y(f) = -5*f - 32. Let q be y(-5). Let k(i) = 8*i + 66. Let d be k(q). Factor 102 - d*g**3 - 17*g**2 + 30*g - 5*g - 18*g**2 - 82.
-5*(g - 1)*(g + 4)*(2*g + 1)
Let c(x) be the first derivative of 2/33*x**3 + 69 + 76/11*x**2 + 2888/11*x. Solve c(a) = 0 for a.
-38
Let w(c) be the third derivative of -c**9/22680 + c**7/3150 - c**5/900 - 86*c**3/3 + 15*c**2 - 7. Let d(p) be the first derivative of w(p). Factor d(o).
-2*o*(o - 1)**2*(o + 1)**2/15
Let s(o) be the third derivative of -o**6/140 + 59*o**5/420 + 19*o**4/42 + 11*o**3/42 + 130*o**2. Factor s(j).
-(j - 11)*(j + 1)*(6*j + 1)/7
Let j be -4 + (-115)/(-5) + -17. Let b(y) be the second derivative of -10/21*y**3 - 1/21*y**4 + 0 - 12/7*y**j - 6*y. Factor b(s).
-4*(s + 2)*(s + 3)/7
Let f = -20 + 18. Let s be (-15)/(-5) + f/(-1). Factor -19*h - 5*h**3 - 20*h**2 - s*h + 4*h.
-5*h*(h + 2)**2
Solve 18/5*t**3 + 0 + 12/5*t**2 + 3/5*t**5 - 24/5*t - 3*t**4 = 0.
-1, 0, 2
Let s(f) be the first derivative of -f**3/2 + 12*f**2 - 45*f/2 + 829. Factor s(k).
-3*(k - 15)*(k - 1)/2
Find k, given that 37/2*k**2 + 6 - 115/2*k = 0.
4/37, 3
Let x(u) be the third der