rivative of -j**4/30 + 2*j**3/15 + 13*j**2/15 - 2*j + 1009. Factor g(l).
-2*(l - 5)*(l - 1)*(l + 3)/15
Let y be -2*3 + 63/(8316/825). Let w(v) be the first derivative of 38 - 35/2*v**2 - y*v**4 + 49*v - 13/3*v**3. Suppose w(i) = 0. Calculate i.
-7, 1
Solve -19*c**2 + 0*c + 0 + 77/4*c**3 - 1/4*c**4 = 0.
0, 1, 76
Suppose 0 = -4*z - 5*c + 5, 0 = 5*c - 6 - 19. Let l(d) = d**2 + 3*d - 6. Let o be l(z). Factor -5*j + 7*j**2 + 12*j**2 + 5*j**3 - o*j**2 - 15.
5*(j - 1)*(j + 1)*(j + 3)
Factor -236*f - 86 + 19 - 5*f**2 - 39*f + 347.
-5*(f - 1)*(f + 56)
Let v be -3054*((-220)/3)/11. Factor v - 4*i**3 + 48*i**2 + 112*i - 20360.
-4*i*(i - 14)*(i + 2)
Let z = -203 - -205. Solve -33*m**z + 5*m**4 + 8*m**2 - 10*m**2 + 43*m - 13*m = 0 for m.
-3, 0, 1, 2
Let r(u) = -u**2 - 2596*u + 1687363. Let o(d) = 2*d**2 + 2595*d - 1687344. Let s(b) = 4*o(b) + 6*r(b). What is i in s(i) = 0?
1299
Let r = -4/4351 - -18760/1474989. Let a = 722/3729 - r. What is m in 4/11 - 2/11*m**2 - 6/11*m**3 + 6/11*m - a*m**4 = 0?
-2, -1, 1
Let o = -622/7 + 2593/28. Let w(r) be the second derivative of -3/20*r**5 - 375/2*r**2 - o*r**4 + 0 + 20*r - 75/2*r**3. Factor w(l).
-3*(l + 5)**3
Let y(j) = 6*j - 3. Let n be y(1). Suppose 9 = n*u - d, -2*u - 2*d + 0 - 2 = 0. Suppose -17*h**3 - 4*h + 1 - 16*h**u - 1 + 21*h**3 + 16*h**4 = 0. What is h?
-1, -1/4, 0, 1
Determine c so that 122*c**5 + 193054*c - 6637*c**3 + 16975*c**3 - 13270*c + 85956*c**2 - 375*c**4 - 119*c**5 + 104544 = 0.
-4, -2, -1, 66
Let v(o) be the second derivative of -40/9*o**3 + 108*o + 0 - 1/90*o**5 + 16*o**2 - 23/54*o**4. Factor v(u).
-2*(u - 1)*(u + 12)**2/9
Suppose 290 = -10*d - 600. Let i = -711/8 - d. Factor -1/8*r**4 + i*r**2 + 1/4*r**3 + 0 - 1/4*r.
-r*(r - 2)*(r - 1)*(r + 1)/8
Find i, given that 79*i**4 + 12*i**3 - 14*i**2 + 80*i**4 - 157*i**4 = 0.
-7, 0, 1
Let a be (-8 - -9) + 14 + (-6)/((-36)/(-42)) + -2. Factor -45/2*u - a*u**2 - 25 - 1/2*u**3.
-(u + 2)*(u + 5)**2/2
Suppose 0 = 2*c + 3*b - 9, -54*b + 42 = 4*c - 56*b. Suppose 15 = j + 4*j. Suppose 3 + 5 + 425*a**3 + c*a**2 - 3*a**2 - 424*a**j + 12*a = 0. What is a?
-2
Determine k, given that -2*k**5 - 262*k**2 - 1849 + 86*k**4 - 1837/2*k**3 + 5891/2*k = 0.
-2, 1, 43/2
Let i be 2/(-28) - 1088/(-8568). Let s(a) be the first derivative of 19 - 1/6*a**2 + 1/2*a - i*a**3. Let s(u) = 0. Calculate u.
-3, 1
Let y(v) be the third derivative of -2 + 1/108*v**4 + 1/540*v**5 - 4/27*v**3 + 0*v + 20*v**2. Find z such that y(z) = 0.
-4, 2
Factor 1/4*g**3 - 231/4 + 191/4*g + 39/4*g**2.
(g - 1)*(g + 7)*(g + 33)/4
Let v be (-1)/(2/8*-1). Let n(f) = -f**3 + 34*f**2 + 76*f - 142. Let d be n(36). Factor -u**5 - 24*u**2 + 26*u**2 - u + d*u**3 - u**v + 4 - 5.
-(u - 1)**2*(u + 1)**3
Let d(n) be the first derivative of -n**6/3 + 4*n**5/5 + n**4/2 - 4*n**3/3 - 1485. Find z, given that d(z) = 0.
-1, 0, 1, 2
Factor -272 - 2/3*l**2 - 278/3*l.
-2*(l + 3)*(l + 136)/3
Factor 3/4*x**3 + 18*x**2 - 243/4*x + 0.
3*x*(x - 3)*(x + 27)/4
Suppose 0 = 9*l - 2*l - 21. Suppose 2*i - 3*f - 9 = 0, -3*i + 1 + l = 5*f. Factor 0*c**3 - 4 + 14*c**2 - 354*c + i*c**3 + 10 + 371*c.
(c + 1)*(c + 3)*(3*c + 2)
Let f = -876 - -884. Let t(q) be the first derivative of 1/3*q**3 + 5*q**2 - f + 25*q. Find a, given that t(a) = 0.
-5
Let l(i) be the third derivative of 2*i**7/735 - 41*i**6/420 + 26*i**5/35 - 7*i**4/3 + 64*i**3/21 + 4*i**2 - 224. Determine d so that l(d) = 0.
1/2, 2, 16
Let b(o) be the third derivative of -o**8/3696 + 2*o**7/1155 + 7*o**6/1320 - o**5/30 - o**4/11 + 1220*o**2. What is h in b(h) = 0?
-2, -1, 0, 3, 4
Let m(z) be the first derivative of 0*z**2 + 2/7*z**3 - 1/21*z**6 + 0*z + 67 + 2/7*z**5 - 1/2*z**4. Factor m(f).
-2*f**2*(f - 3)*(f - 1)**2/7
What is r in 1/8*r**4 - 7/2*r**2 + 0 - 4*r - 1/2*r**3 = 0?
-2, 0, 8
Let l(r) be the third derivative of r**8/42 - 26*r**7/525 - 29*r**6/50 - 83*r**5/75 - 7*r**4/30 + 8*r**3/5 + r**2 + r - 102. Find b such that l(b) = 0.
-1, 3/10, 4
Let f(w) be the first derivative of -w**3/6 + 23*w**2/4 + 39*w - 3633. Solve f(y) = 0.
-3, 26
Let t be (-13)/(65/(-10)) + -1 + 1. Suppose -179*l**2 + 9*l**5 + 63*l**3 - 10*l**4 - 41*l**4 + 206*l**t = 0. Calculate l.
-1/3, 0, 3
Let x(o) = -o**2 - 1. Let g = -71 + 72. Let l(w) = -w**3 - 13*w**2 - 21*w - 11. Let v(m) = g*x(m) - l(m). Factor v(u).
(u + 1)**2*(u + 10)
Suppose 5*u - 20*s = -25*s - 10, 3*u - 18 = s. Let t(j) be the first derivative of 25/4*j**u + 0*j + j**5 + 5*j**3 - 45/2*j**2 + 10. Factor t(l).
5*l*(l - 1)*(l + 3)**2
Determine l so that -153476*l**2 + 153471*l**2 - 6040*l - 760289 - 1063791 = 0.
-604
Determine c so that -207025/3 - 1/3*c**2 - 910/3*c = 0.
-455
Let r(d) be the first derivative of d**3/3 - 3*d**2 - 10153. Factor r(o).
o*(o - 6)
Let p = 418145/2 - 209069. Solve p - 3/2*t - 1/8*t**2 = 0 for t.
-14, 2
Let u(r) be the second derivative of r**7/63 - 64*r**6/45 + 132*r**5/5 - 416*r**4/9 - 14960*r**3/9 - 6400*r**2 + 6446*r. Let u(w) = 0. What is w?
-2, 10, 48
Let y = 420 + -417. Let b be 210/(-112)*(y + (-64)/20). Determine w so that -3/4*w**2 - b*w**5 + 3/2*w**3 + 0*w**4 + 3/4 - 9/8*w = 0.
-2, -1, 1
Let g be 37/(-2) + (-161)/(-46). Let r be (-16)/(-20)*g/(-6). Let 3/5*v**r + 3/5 + 6/5*v = 0. Calculate v.
-1
Let k(b) be the first derivative of -2*b**5/45 - 5*b**4/9 - 2*b**3 - 2*b**2 - 496. Factor k(n).
-2*n*(n + 1)*(n + 3)*(n + 6)/9
Let p(i) be the first derivative of -i**5/10 + 9*i**4/2 - 194*i**3/3 + 288*i**2 - 512*i + 438. Factor p(u).
-(u - 16)**2*(u - 2)**2/2
Let v(i) be the second derivative of -1/3*i**3 + 19/12*i**4 - 8*i + 0*i**2 - 923/120*i**6 - 2 + 3/40*i**5 - 845/168*i**7. Solve v(f) = 0 for f.
-1, -2/5, 0, 2/13
Let a(d) = d**3 + 23*d**2 + 44*d + 44. Let u be a(-21). Find p, given that -6*p - 5*p**u + 10*p**2 - 49*p = 0.
0, 11
Suppose 8*y + 52 = 10*y. Let p = y + -24. Factor 0*t**2 - 2*t - 6 - t - p*t**2 - 5*t.
-2*(t + 1)*(t + 3)
Factor 4*z + 457*z + 181*z**2 + 11*z - 84*z**2 + 371*z**2 - 4*z**3.
-4*z*(z - 118)*(z + 1)
Let m be 232/40 - 2/(-10). Let u be m*3*-4*4/(-144). Factor g - 31*g**2 - 23*g**2 + g + 56*g**2 - u - 2*g**3.
-2*(g - 1)**2*(g + 1)
Let o = 64 - 61. Factor -o + 2*n - 3 + 8*n**2 - 11*n**2 - 11*n.
-3*(n + 1)*(n + 2)
Let o be -4 + 0/(-4) - -6. Suppose o*u**3 - 153 + 150*u - 105*u**2 + 68 + 20 + 18*u**3 = 0. Calculate u.
1, 13/4
Let y(a) be the third derivative of 1/80*a**6 + 56 + 0*a - 1/5*a**5 - a**2 + 13/16*a**4 - 3/2*a**3. Find m such that y(m) = 0.
1, 6
Let l be 8 + -2 + (-80)/(-10)*(-6)/12. Let a(r) be the second derivative of -25*r - 1/2*r**l - 1/8*r**4 + 5/12*r**3 + 0. Factor a(k).
-(k - 1)*(3*k - 2)/2
Let c(v) be the first derivative of 1/15*v**3 + 1/25*v**5 - 2/5*v + 3/10*v**2 + 42 - 3/20*v**4. Find q such that c(q) = 0.
-1, 1, 2
Let t(y) be the first derivative of 3*y**4/8 - 107*y**3/2 - 246*y**2 - 330*y + 6776. Find o, given that t(o) = 0.
-2, -1, 110
Let o be (406 - 406)*(-2)/16. Let c(y) be the third derivative of -1/30*y**5 - 1/150*y**6 + o*y + 14*y**2 + 0 + 3/5*y**3 + 1/10*y**4. Find l such that c(l) = 0.
-3, -1, 3/2
Let p(s) be the third derivative of -1 + 0*s**3 - 3*s**2 + 0*s - 1/33*s**4 + 13/330*s**5 - 1/1848*s**8 + 1/165*s**7 - 1/44*s**6. Find h, given that p(h) = 0.
0, 1, 4
Let u = 23056/5 - 4611. Let k(i) be the second derivative of 0*i**2 - 1/25*i**5 + 0 - 5*i - u*i**4 + 0*i**3. Factor k(o).
-4*o**2*(o + 3)/5
Let u = -2364 + 2368. Let n(d) be the second derivative of 23/30*d**u - 8/15*d**3 - 19/75*d**6 - 4/5*d**2 + 1/50*d**5 + 1/15*d**7 + 15*d + 0. Solve n(h) = 0.
-1, -2/7, 1, 2
Suppose 23*y + 20 = 27*y. Suppose 4*j + 4*d = 0, -2*d = -4*j + 3*j + 6. Factor 5*z**3 - 2*z**j - 4*z**2 - 4*z**2 + y*z.
5*z*(z - 1)**2
Let -1/5*b**2 + 1002*b - 1255005 = 0. What is b?
2505
Suppose 3*x + 4*r = 7, 0*r + 3*r = -6. Factor -15*l**4 - 33*l**x + 20*l**2 + 28*l**5 + 1105*l**3 - 1105*l**3.
-5*l**2*(l - 1)*(l + 2)**2
Let l = -10213 + 10216. Let s(m) be the second derivative of 0 + 43*m + 0*m**2 - 1/72*m**4 + 1/36*m**l. Suppose s(n) = 0. Calculate n.
0, 1
Let a(k) be the third derivative of -k**5/30 + 59*k**4/6 - 528*k**2. Let a(l) = 0. What is l?
0, 118
Let p(t) be the second derivative of t**5/10 + 7*t**4 + 180*t**3 + 1944*t**2 - 8040*t. Solve p(m) = 0.
-18, -6
Let i = 407 + -401. Solve 3*t**4 - 118*t + 4*t**2 + 54*t + 4*t**3 - i*t**2 - 2*t**4 - 14*t**2 = 0 for t.
-4, 0, 4
Let v(b) = 6*