9*f**5/70 + 2*f**4/21 - 20*f**3/7 + 84*f**2 - 11*f - 1. Find b such that w(b) = 0.
-6, -2, 5/4
Let w(u) = 121*u**2 + 23*u - 6. Let t(o) = 40*o**2 + 8*o - 2. Let h(a) = -17*t(a) + 6*w(a). Let x be h(1). Solve 48*y**3 - 4*y**5 - x*y**3 + 2*y**5 = 0.
-1, 0, 1
Let d(u) = -10*u**2 - 42*u - 6. Let t be d(-4). Find r, given that -152 + 300*r + 54 - 70*r**2 + 7*r**3 - 23 - 239 - t*r**3 = 0.
2, 6
Suppose 0 = 50647*o - 50573*o - 148. Factor 0 - 2/5*s - 2/15*s**o.
-2*s*(s + 3)/15
Suppose -2*f + 40 = 3*w, -4*w - 4*f = -125 + 77. Let g(s) be the first derivative of 0*s**3 + 9/2*s**2 - 3/4*s**4 - 6*s + w. Factor g(z).
-3*(z - 1)**2*(z + 2)
Let w(i) = 5*i**2 + 67*i + 246. Let u(c) = -64*c**2 - 866*c - 3196. Let j(o) = 6*u(o) + 76*w(o). Solve j(f) = 0 for f.
-20, -6
Let u be (20/(-98))/((-24130)/439166). Factor 2/7*w**2 + u - 4*w.
2*(w - 13)*(w - 1)/7
Let w = 860/23 + -10159/276. Let n(f) be the third derivative of 0 - 65/12*f**4 + 0*f + w*f**5 - 20/3*f**3 + 23*f**2. Factor n(h).
5*(h - 4)*(7*h + 2)
Let g(z) be the first derivative of -z**4/2 + 32*z**3/3 - 79*z**2 + 240*z + 180. Factor g(c).
-2*(c - 8)*(c - 5)*(c - 3)
Let z be (-4)/6 - 1 - (-60599)/4620. Let f = -45/4 + z. Factor 4/5*h - 6/5*h**2 + 4/5*h**3 - f - 1/5*h**4.
-(h - 1)**4/5
Let n be ((-34)/(-10)*5 + -17)/3. Factor n + 0*r**2 - 3/2*r + 1/6*r**3.
r*(r - 3)*(r + 3)/6
Let w(j) be the third derivative of -j**6/40 + 3603*j**5/20 - 3247203*j**4/8 + 3243601*j**3/2 - 5*j**2 - 241*j. Determine z, given that w(z) = 0.
1, 1801
Let p(s) be the first derivative of 2*s**4 - 42*s**3 + 224*s**2 + 120*s - 4667. Determine k, given that p(k) = 0.
-1/4, 6, 10
Let t(z) be the second derivative of 3*z**7/14 - 8*z**6/5 - 57*z**5/20 + 38*z**4 - 24*z**3 + 1177*z. Let t(s) = 0. Calculate s.
-3, 0, 1/3, 4
Let j be 14/20 - 390/(-2925). Let b(t) be the first derivative of 7/10*t**5 + 23 + 13/8*t**2 - j*t**3 - 1/2*t**4 - t - 5/24*t**6. Let b(u) = 0. What is u?
-1, 4/5, 1
Let g(p) be the third derivative of p**7/4200 - p**5/150 - 57*p**3/2 - 31*p**2 - 2. Let f(c) be the first derivative of g(c). Let f(j) = 0. What is j?
-2, 0, 2
Let v be 0*11/(-132)*-12. Let x(n) be the first derivative of 4/15*n**3 - 23 + 1/10*n**4 + v*n - 3/5*n**2. Factor x(q).
2*q*(q - 1)*(q + 3)/5
Solve 470/3 - 2/3*f**3 - 34*f**2 - 122*f = 0.
-47, -5, 1
Let j(h) be the first derivative of 8/5*h**5 + 7/12*h**6 + 11/8*h**4 + 1/3*h**3 + 0*h**2 - 19 + 0*h. Solve j(m) = 0 for m.
-1, -2/7, 0
Solve 748/3*l**4 - 1483/3*l**3 - 16/3 + 304*l**2 - 140/3*l - 36*l**5 = 0 for l.
-2/27, 1/2, 2, 4
Let g(k) be the third derivative of -k**8/5040 - k**7/1260 + 9*k**3 - 33*k**2 + 2. Let v(f) be the first derivative of g(f). Factor v(i).
-i**3*(i + 2)/3
Let x(y) be the second derivative of 1/16*y**4 + 3*y - 1/80*y**5 - 1/12*y**3 + 16 + 0*y**2. Factor x(l).
-l*(l - 2)*(l - 1)/4
Let x(t) be the first derivative of -11/3*t**3 + 85/8*t**2 - 21/2*t + 1/16*t**4 - 130. Factor x(y).
(y - 42)*(y - 1)**2/4
Let k(z) be the first derivative of -1/4*z**4 - 14 - 2*z**2 + 4*z**3 - 1/5*z**5 - 16*z. Factor k(d).
-(d - 2)**2*(d + 1)*(d + 4)
Let y(a) be the first derivative of a**4/18 - 70*a**3/27 - 73*a**2/9 - 74*a/9 + 710. Factor y(t).
2*(t - 37)*(t + 1)**2/9
Let p(r) be the second derivative of r**6/135 + 49*r**5/90 - r**4/54 - 49*r**3/27 + 3259*r. Factor p(t).
2*t*(t - 1)*(t + 1)*(t + 49)/9
What is i in 520 - 2537*i**2 - 5*i**3 - 2456*i**2 + 4918*i**2 - 90*i = 0?
-13, -4, 2
Let u(x) be the second derivative of -9*x**5/5 - 70*x**4 + 1475*x**3/6 - 625*x**2/2 - 20*x - 35. Determine c so that u(c) = 0.
-25, 5/6
Let i(r) be the first derivative of 36*r**2 + 16*r + 77 + 20*r**3 - 25/2*r**4. Factor i(l).
-2*(l - 2)*(5*l + 2)**2
Factor 3/2*n**4 - 120*n**2 + 21/2*n**3 - 864*n + 0.
3*n*(n - 9)*(n + 8)**2/2
Let k = -64 - -68. Let i(h) = 2*h**4 - 12*h**3 - 26*h**2 - 8*h - 4. Let u(r) = r**4 - 13*r**3 - 26*r**2 - 7*r - 5. Let m(g) = k*u(g) - 5*i(g). Factor m(v).
-2*v*(v - 3)*(v + 1)*(3*v + 2)
Suppose 4105*o = 4009*o. Let x(z) be the second derivative of 3/140*z**5 + 1/28*z**4 + 34*z - 1/105*z**6 + o*z**2 - 1/21*z**3 + 0. Factor x(j).
-j*(j - 2)*(j + 1)*(2*j - 1)/7
What is t in -3/4*t**5 - 2499537/4*t**3 - 4737/4*t**4 - 444050775/4*t**2 - 436590000*t - 434109375 = 0?
-525, -2
Let d(g) = -g**3 + 3*g**2 + 2*g - 3. Let l be d(3). Suppose 4*t - l*n - 88 = 0, -4*t + 2*n - 110 = -9*t. Factor p**3 - 22*p + t*p + p**4.
p**3*(p + 1)
Let v be 608/78 + 1806/(-3913) + -1 + -3. Suppose -j - 3*t = 2*j - 6, -3*j - 5*t + 4 = 0. Factor -v*m**2 + 0 + 8/3*m + 2/3*m**j.
2*m*(m - 4)*(m - 1)/3
Suppose -163*p + 159*p + 16 = -5*a, -4*a = -p + 4. Suppose -34/11*l**3 + 0 - 20/11*l**2 + 4/11*l**p + 18/11*l = 0. What is l?
-1, 0, 1/2, 9
Let t(p) be the third derivative of -23*p**2 - 1/18*p**4 + 0*p**3 - 19/180*p**5 + 2/315*p**7 - 11/360*p**6 + 0 + 0*p. Factor t(m).
m*(m - 4)*(m + 1)*(4*m + 1)/3
Let n(t) be the first derivative of 15*t**4/4 + 4780*t**3/3 - 6395*t**2/2 + 1600*t + 733. Factor n(a).
5*(a - 1)*(a + 320)*(3*a - 1)
Let j = 1621 - 1621. Let b = -265 + 269. Let j*l - 4/3*l**3 - b*l**2 + 0 = 0. What is l?
-3, 0
Find z, given that -z**5 - 5*z**4 - 212*z**2 + 88*z**3 - 19*z**4 + 68*z**2 + 2*z**5 + 7*z**4 = 0.
0, 4, 9
Suppose 3*g + 174 - 63 = 0. Let a = g + 43. Factor -1 - 6*b**2 + a*b + 2*b**3 - 9 - 12*b - 12*b.
2*(b - 5)*(b + 1)**2
What is x in 4*x**2 - 14601 - 12*x - 14599 + 29208 = 0?
1, 2
Let n be (-3)/(-12) - (230/8)/(-5). Suppose -n*c = -98 + 86. Determine m, given that 14/3*m**3 - 16/9*m**c - 14/9*m**5 - 4/9*m**4 + 0 - 8/9*m = 0.
-2, -2/7, 0, 1
Solve 68284/7*u + 8/7*u**4 - 36980/7 + 1668*u**2 - 652/7*u**3 = 0 for u.
-5, 1/2, 43
Let s(i) be the second derivative of -i**4/66 + 39*i**3/11 + 238*i**2/11 - 6339*i. Factor s(d).
-2*(d - 119)*(d + 2)/11
Factor 139*q**4 - 12*q**2 - 9*q**3 - 281*q**4 - 2*q + 14*q + 3*q**5 + 148*q**4.
3*q*(q - 1)**2*(q + 2)**2
Suppose 24*q - 270 = 138. Factor q*z**2 + 50 - 70*z - 63*z**3 + 61*z**3 + 5*z**2.
-2*(z - 5)**2*(z - 1)
Let u(t) be the second derivative of -1/60*t**5 - 7/6*t**2 - 1/4*t**4 - 5/6*t**3 + 8*t + 4. Factor u(z).
-(z + 1)**2*(z + 7)/3
Factor 2/5*x**3 + 105 - 32*x + 1/5*x**2.
(x - 5)**2*(2*x + 21)/5
Let 1537 - 1477 - h - 47*h**2 - 2*h**3 - 13*h**2 + 3*h = 0. Calculate h.
-30, -1, 1
Let n(x) be the first derivative of 0*x**2 - 1/6*x**5 + 1/90*x**6 + 0*x + 16/3*x**3 + 16 + 2/3*x**4. Let w(i) be the third derivative of n(i). Factor w(a).
4*(a - 4)*(a - 1)
Let l(i) = -i**3 + 12*i**2 + 87*i - 24. Let y be l(17). Let w be (-3)/y*16/(-12). Let w*x**5 - 54/5*x - 54/5 - 14/5*x**4 + 4*x**3 + 36/5*x**2 = 0. Calculate x.
-1, 3
Let y = -45359/120 - -378. Let d(s) be the third derivative of 1/336*s**8 + 0*s - y*s**6 + 0*s**3 + 0 + 0*s**5 - 4/315*s**7 + 0*s**4 + s**2. Factor d(z).
z**3*(z - 3)*(3*z + 1)/3
Factor 10140*m**2 - 15026242*m - 2110358*m + 4174035328 + 5479582672 - 2*m**3.
-2*(m - 1690)**3
Let x = -6579488/7 + 939929. What is w in 12/7*w**2 - 24/7*w**3 + 0 - 3/7*w**5 + x*w**4 + 0*w = 0?
0, 1, 2
Let r(w) = 9*w**2 + 30*w - 33. Let z be 534/(-8) - ((-77)/28 - -3). Let i = -66 - z. Let s(x) = x**2. Let u(h) = i*r(h) - 6*s(h). Factor u(j).
3*(j - 1)*(j + 11)
Let d(z) = -2*z + 27. Let h be d(11). Suppose -12*g**4 - 12*g**3 - 4*g**2 - 373*g**5 + 369*g**h + 0*g**2 = 0. What is g?
-1, 0
Let o(a) be the second derivative of -1/120*a**5 + 1/36*a**3 + 1/72*a**4 - a - 1/180*a**6 + 0*a**2 + 87. Let o(d) = 0. Calculate d.
-1, 0, 1
Let b be 3*-4*(-8)/(-96). Let i(c) = 5*c**2 - 310*c + 6845. Let t(o) = -3*o. Let x(w) = b*i(w) - 20*t(w). Determine g, given that x(g) = 0.
37
Let -3*y**2 - 71 - 6*y**2 + 1331 + 6*y**2 - 3*y = 0. Calculate y.
-21, 20
Suppose 0 = -5*v + j + 14, -99*j = 4*v - 101*j - 16. Let -196*b**2 + 140 - 158*b**2 + 249*b**v - 50*b**3 - 6*b**4 + b**4 + 20*b = 0. What is b?
-7, -2, 1
Let h(d) be the second derivative of -d**8/10080 + d**7/1260 + d**6/432 + d**3/3 - 31*d**2/2 + 86*d. Let l(k) be the second derivative of h(k). Factor l(p).
-p**2*(p - 5)*(p + 1)/6
Let r be (6/(-10))/((-27)/90). Let s(v) be the third derivative of 5/3*v**4 + 0*v + 0 - 50/3*v**3 + 11*v**r - 1/15*v**5. Factor s(y).
-4*(y - 5)**2
Let w = 422 + -420. Suppose 0 = -i - 3*z - 2 + 13, w = 4*i - 2*z. Factor 2/7*d**i + 0 - 8/7*d.
2*d*(d - 4)/7
Let q(t) be the second derivative of t**6/15 - 3*t**5/2 + 8*t**4 - 44*t**3