 k*j**2 + 20*j = 0. What is j?
2/7, 2
Let z(q) be the second derivative of -q**5/45 - q**4 - 18*q**3 - 77*q**2/2 - 66*q. Let h(u) be the first derivative of z(u). Solve h(x) = 0.
-9
Let r(m) be the second derivative of 43*m**4/60 + 7*m**3/10 - 7984*m. Factor r(h).
h*(43*h + 21)/5
Let a(t) be the first derivative of -5*t**3/9 + 52*t**2 - 124*t/3 + 676. Factor a(z).
-(z - 62)*(5*z - 2)/3
Factor 0 + 1/7*a**2 + 214/7*a.
a*(a + 214)/7
Suppose -12 = 15*n - 19*n. Find j, given that 3*j**3 + 757*j**2 - 749*j**2 + 0*j**3 + n*j**3 - 2*j**3 = 0.
-2, 0
Solve -1/2*n**2 + 2279*n - 5193841/2 = 0.
2279
Let n(s) = -s**3 + 17*s**2 - 3*s + 81. Let a be n(17). Suppose -28*l + a*l + 3*j - 18 = 0, 0 = j. Solve -3 + l*q + 21/4*q**2 = 0 for q.
-2, 2/7
Let s(i) be the second derivative of 5/42*i**7 + 0*i**2 - 123*i + 0 - 5/3*i**6 - 50/3*i**4 + 33/4*i**5 + 40/3*i**3. Factor s(l).
5*l*(l - 4)**2*(l - 1)**2
Let y(w) be the second derivative of 0 + 0*w**2 + 5/24*w**4 + w**3 + 1/1800*w**6 + 1/60*w**5 + 21*w. Let h(t) be the second derivative of y(t). Factor h(c).
(c + 5)**2/5
Factor -64/5 + 12*w + 4/5*w**2.
4*(w - 1)*(w + 16)/5
Suppose i + 0*i = 2. Suppose -787*n + 762*n + 50 = 0. Factor 7*p**i + 6*p - 6*p - 4*p**n - 3*p**3.
-3*p**2*(p - 1)
Let t = 720 + -696. Factor -144 + 96*i - 3*i**4 - t*i**3 + 23*i**4 - 11*i**4 + 20*i**2 - 5*i**4.
4*(i - 3)**2*(i - 2)*(i + 2)
Let z = 40/757 + 1951/6056. Factor -11/8*w**2 - 5/2*w + 3/4*w**3 - z.
(w - 3)*(w + 1)*(6*w + 1)/8
Let p(a) be the first derivative of -2*a**5/5 - 23*a**4/6 - 5*a**3 + 21*a - 219. Let b(i) be the first derivative of p(i). Let b(c) = 0. Calculate c.
-5, -3/4, 0
Suppose -2*s - 5*m + 31 = 0, 0 = 4*s + 2*m + 2*m - 32. Let l be ((-11)/(-22))/(-2 + s). Factor l*h + 0*h**2 - 1/6*h**3 + 1/3.
-(h - 2)*(h + 1)**2/6
Factor -22850*r**3 - 727*r**2 + 39496*r + 13847 + 22851*r**3 + 118649 + 92272*r.
(r - 364)**2*(r + 1)
Let o be -2 + 2 - -289 - (-3 - -3). Let i = o - 287. Factor 3/4*l**3 + 0 + 3/4*l**i - 3/2*l.
3*l*(l - 1)*(l + 2)/4
Let y(o) be the third derivative of -1/70*o**7 + 50*o**3 - 5/2*o**4 - 99/20*o**5 + 0*o + 1/2*o**6 - 4*o**2 - 9. Suppose y(c) = 0. Calculate c.
-1, 1, 10
Let z(f) be the first derivative of -f**6/30 - f**5/5 - f**4/4 + 9*f + 53. Let n(i) be the first derivative of z(i). Factor n(d).
-d**2*(d + 1)*(d + 3)
What is o in 992/3*o - 16/3*o**4 + 146/3*o**3 - 568/3*o**2 + 1/6*o**5 - 640/3 = 0?
2, 4, 20
Let u(y) = 15*y**3 + 669*y**2 - 7401*y + 23802. Let s(m) = 3*m**3 + 132*m**2 - 1480*m + 4760. Let p(g) = -21*s(g) + 4*u(g). Factor p(v).
-3*(v - 6)**2*(v + 44)
Suppose 21*d + 7*d = -9576. Let b = d - -346. Solve 1/3*c**5 - 7/3*c - 2/3*c**3 - 2/3 - 8/3*c**2 + 2/3*c**b = 0 for c.
-1, 2
Let g = -62293 - -62297. What is u in -1/3*u**g + 0 + u**2 - 2/3*u + 0*u**3 = 0?
-2, 0, 1
Let h(i) be the third derivative of i**8/1008 - i**7/126 + i**6/360 + 7*i**5/60 - i**4/4 - 1102*i**2. Factor h(y).
y*(y - 3)**2*(y - 1)*(y + 2)/3
Let x(o) be the first derivative of -o**6/2340 - 3*o**5/260 - 3*o**4/26 - 2*o**3/3 - 53*o - 269. Let v(h) be the third derivative of x(h). Factor v(p).
-2*(p + 3)*(p + 6)/13
Let x(b) be the third derivative of -23/30*b**6 + 128*b**2 - 13/6*b**4 + 0 - 47/15*b**5 - 2/3*b**3 + 32/35*b**7 + 0*b + 3/7*b**8. Suppose x(m) = 0. Calculate m.
-1, -1/6, 1
Factor 0 + 0*s + 14*s**2 + 40/3*s**3 - 2/3*s**4.
-2*s**2*(s - 21)*(s + 1)/3
Let i(r) be the third derivative of 76*r**2 - 1/1008*r**8 + 0*r**4 + 0*r + 0 - 23/360*r**6 + 0*r**3 - 13/630*r**7 - 11/180*r**5. Let i(n) = 0. What is n?
-11, -1, 0
Let f(s) be the second derivative of -3*s**5/20 + 7*s**4/2 + 265*s**3/2 + 375*s**2 + 4456*s. Let f(l) = 0. Calculate l.
-10, -1, 25
Solve 204*x**2 + 153*x**2 - 2532*x + 3744 - 2129*x**3 + 2125*x**3 + 83*x**2 = 0 for x.
3, 104
Suppose 12 = q + 4*t, -5*t = -q - 0*q - 6. Let -18 - 11*d**q + 5*d**4 - 18*d**2 - 51*d - 33*d**2 + 3*d**4 - 21*d**3 = 0. Calculate d.
-3, -2, -1
Suppose -61*o + 2*w - 10 = -53*o, -15 = 4*o - 3*w. Factor o + 3/7*u**2 - 27/7*u.
3*u*(u - 9)/7
Factor -19683/5*y**3 + 41553/5*y**2 + 6859/5 - 29241/5*y.
-(27*y - 19)**3/5
Suppose -45*o + 42*o = -3. Let q be (5 + -11)*(2/4 - o). Find s, given that 132*s**4 - 129*s**4 - 2*s**2 - q*s**5 + 3*s**3 - s**2 = 0.
-1, 0, 1
Let r(z) be the first derivative of -5*z**2 + 3*z + 61. Let m be r(0). What is y in 3*y + 3/4*y**4 + 3 - 3/2*y**m - 9/4*y**2 = 0?
-1, 2
Let a(k) be the third derivative of 0*k**5 + 0*k**4 - 1/40*k**6 + 1/210*k**7 + 0*k + 0 - 19*k**2 + 0*k**3. Determine h, given that a(h) = 0.
0, 3
Determine p so that 51/4 - 105/8*p + 3/8*p**2 = 0.
1, 34
Suppose 356 = -7*n + 440. Find g such that 3*g**4 - 12*g + 15*g**3 + 7*g - 4*g**5 - 19*g - n - 3*g**2 + g**5 = 0.
-1, 2
Let o(x) = -10*x - 85. Let b be o(-10). Suppose 30 - 30 = b*m. Factor m + 20*j**4 + 0*j - 5/3*j**3 - 5/3*j**2.
5*j**2*(3*j - 1)*(4*j + 1)/3
Let n be (7 - 1)*((-303)/(-27) - (-894 - -905)). Determine y, given that 8/3*y**2 - 1/3*y**5 - 2/3*y**4 + y**3 + n*y + 0 = 0.
-2, -1, 0, 2
Find f such that -380528 - 2268*f - 5*f**3 + f**3 + 389276 - 204*f**2 = 0.
-27, 3
Let j(o) = -7*o**2 - 390*o - 932. Let w(y) = 22*y**2 + 1154*y + 2796. Let z(u) = 16*j(u) + 5*w(u). Factor z(c).
-2*(c + 2)*(c + 233)
Let v(u) be the second derivative of -2/21*u**7 + 2/3*u**6 + 3*u - 2*u**5 - 10/3*u**3 + 2*u**2 + 1 + 10/3*u**4. Solve v(i) = 0.
1
Factor -6*q**2 + 0 + 0*q + 11/2*q**3 + 1/2*q**4.
q**2*(q - 1)*(q + 12)/2
Let n be (2 + (1 - -2) + (-1296)/243)*0. Let w(a) be the second derivative of 0*a**2 + 0 - 7/40*a**6 + n*a**3 - 13/80*a**5 - 1/24*a**4 - 2*a. Factor w(q).
-q**2*(3*q + 1)*(7*q + 2)/4
Let l be (-96)/80 + ((-28)/35 - -2). Let y(i) be the first derivative of 26 + 15/2*i**2 + 5/3*i**3 + l*i. Suppose y(n) = 0. Calculate n.
-3, 0
Let b(g) be the second derivative of -1/6*g**5 - 5/24*g**4 + 1/24*g**6 + 2*g**2 + 0 + 5/3*g**3 + g. Let c(q) be the first derivative of b(q). Factor c(h).
5*(h - 2)*(h - 1)*(h + 1)
Let l(x) be the second derivative of x**6/15 + 31*x**5/2 - 398*x**4/3 + 640*x**3/3 + 1231*x - 2. Determine f so that l(f) = 0.
-160, 0, 1, 4
Let a = 1154/1867 + 4006/5601. Factor a - 2/3*f**3 + 5/3*f - 7/3*f**2.
-(f - 1)*(f + 4)*(2*f + 1)/3
Suppose 0 = 9*o + 3*o - 600. Let w = 53 - o. Factor 15*g**4 + 81*g**2 - 7*g**5 + 2*g**5 - 15*g**w - 76*g**2.
-5*g**2*(g - 1)**3
Let m(j) be the third derivative of -j**5/480 - 341*j**4/192 + 43*j**3/2 + 2567*j**2. Factor m(y).
-(y - 3)*(y + 344)/8
Factor 0 + 2/7*a**5 + 48/7*a**2 + 0*a + 8*a**3 + 20/7*a**4.
2*a**2*(a + 2)**2*(a + 6)/7
Let y(g) be the second derivative of 0 + 0*g**2 - 10/3*g**3 - 69*g + 1/6*g**4. Factor y(b).
2*b*(b - 10)
Let w(p) be the first derivative of p**6/1980 + p**5/165 - 7*p**4/44 - 11*p**3 - p**2 - 111. Let o(a) be the third derivative of w(a). Solve o(n) = 0.
-7, 3
Let v(z) be the first derivative of -z**3 - 2547*z**2 - 2162403*z - 2041. Factor v(a).
-3*(a + 849)**2
Let b(i) be the second derivative of -8*i**6/165 + 19*i**5/22 + 58*i**4/33 + 13*i**3/33 - 885*i. Determine s, given that b(s) = 0.
-1, -1/8, 0, 13
Factor 40 - 1/3*w**2 - 14/3*w.
-(w - 6)*(w + 20)/3
Suppose -8/5*f**2 - 864/5 + 588/5*f = 0. Calculate f.
3/2, 72
Let l(h) be the second derivative of 82/25*h**5 - 104/15*h**3 - 7/15*h**6 + 5/2*h**4 + 43*h + 0 + 4*h**2. Let l(b) = 0. What is b?
-1, 2/7, 2/5, 5
Let z(x) be the second derivative of -2*x**6/105 + 24*x**5/5 + 170*x**4/7 + 1024*x**3/21 + 342*x**2/7 - 246*x + 1. Let z(k) = 0. What is k?
-1, 171
Factor -35*b**2 - 102*b + 4483*b**4 - 26*b**3 + 38*b**3 - 4482*b**4 - 56.
(b - 4)*(b + 1)**2*(b + 14)
Let g(k) be the third derivative of -k**6/90 + 2*k**5/15 + 2*k**4 - 29*k**3/2 + 75*k**2. Let m(d) be the first derivative of g(d). Factor m(r).
-4*(r - 6)*(r + 2)
Suppose 800 = 100*n - 50*n. Let b be -4 + 120/(-12) + n. Let -6/11*v + 12/11*v**b - 6/11*v**3 + 0 = 0. What is v?
0, 1
Factor 1158/7 + 380/7*y - 2/7*y**2.
-2*(y - 193)*(y + 3)/7
Let l(o) = o**3 + 19*o**2 + 37*o + 56. Let y be l(-17). Let p be (-6)/((-2 - 0) + 0). Factor -v**2 + 34*v + 5*v**y - 11*v**4 - 34*v + 7*v**p.
v**2*(v - 1)**2*(5*v - 1)
Let c(l) be the third derivative of -61*l**5/90 - 241*l**4/72 + l**3/3 - 792*l**2. Factor c(t).
-(t + 2)*(122*t - 3)/3
Let s(t) be the second derivative of -12*t - 1/360*t**5 + 0*t**2 - 9/2*t**3 + 0 - 1/2160*t**6 + 0*t**4. Let y(i) be the second der