 - 190*j**2 + 3*j**4 + 20*j**5 - 24*j**4 - 80*j + 23*j**5 - 38*j**5.
5*j*(j - 8)*(j + 1)**2*(j + 2)
Let -4/3*m**2 - 312 - 124/3*m = 0. What is m?
-18, -13
Let w(l) = -195*l**2 - 1196*l - 266. Let g(v) = 129*v**2 + 798*v + 178. Let y(b) = -7*g(b) - 5*w(b). Suppose y(r) = 0. Calculate r.
-21/4, -2/9
Let m(q) be the first derivative of -4*q**3/3 + 1152*q**2 - 331776*q + 2760. Factor m(n).
-4*(n - 288)**2
Suppose 449 = -2*j - 4*r + 39, r + 205 = -j. Let a = j - -207. Factor 0*f**a - 3*f**3 + 3/2*f + 0 + 0*f**4 + 3/2*f**5.
3*f*(f - 1)**2*(f + 1)**2/2
Let d = -91623/25 + 3665. Let u(s) be the second derivative of d*s**5 - 8/15*s**3 - 2/15*s**4 + 0 + 8/5*s**2 + 1/150*s**6 - 1/210*s**7 + s. Solve u(g) = 0.
-2, 1, 2
Let x(w) be the third derivative of 207*w**2 + 0*w**4 + 0 - 11/6*w**5 + 1/24*w**6 + 0*w + 0*w**3. Factor x(m).
5*m**2*(m - 22)
Let z = 280826 + -1684955/6. Suppose -z*w**3 - 1/2*w**2 + 1/2 + 1/6*w = 0. Calculate w.
-3, -1, 1
Let -65*u**2 + u**4 - 20 - 912*u + 1858*u - 6*u**4 - 886*u + 30*u**3 = 0. What is u?
1, 2
Suppose -3*i = 2*d + 12, -3*d + i - 30 = 10. Let w be -5 + (82/d - 1)*-2. Factor 2/3*h**2 + w - 16/3*h.
2*(h - 4)**2/3
Let j(t) = 2*t**3 - 3*t**2 + 2*t + 3. Let u be j(0). Let x(y) be the first derivative of -4 + 9/2*y**2 - 6*y + 0*y**u - 3/4*y**4. Factor x(w).
-3*(w - 1)**2*(w + 2)
Let m = 23765/17 - 1395. Let y = -28894 - -28896. Solve -20/17*p - m - 2/17*p**y = 0.
-5
Suppose l + 4*n + 515 = 6*l, 2*l + n = 193. Let s be (-168)/196*7/(-2). Suppose l*q**2 - s + 21*q**4 + 57*q + 75*q**3 + 1 + 14 = 0. Calculate q.
-1, -4/7
Let k(a) be the first derivative of -a**4/16 + 187*a**3/12 - 9191*a**2/8 + 41405*a/4 - 8152. Factor k(l).
-(l - 91)**2*(l - 5)/4
Solve 7021 - 4*f**2 + f**2 - 1083*f - 7021 = 0.
-361, 0
Let k be ((-127)/4)/(-1) - (-4)/16. Let y = k - 30. Suppose -14*a**4 - 18*a**3 - a**2 - y*a**2 - a**2 = 0. Calculate a.
-1, -2/7, 0
Let u = 120764/51 - 2368. Let a = u + 632/255. Factor 2/5*m**2 + 2*m + a.
2*(m + 2)*(m + 3)/5
Suppose -r + 6 = -3*r. Let a be 4/r*3/(-2)*1. Factor -3*h + 1 - 2*h**a - 3 + 8 - h**2.
-3*(h - 1)*(h + 2)
Let t(d) be the second derivative of -d**4/36 + 977*d**3/18 - 488*d**2/3 + 2744*d. Let t(j) = 0. Calculate j.
1, 976
Find a, given that 160 + 725*a + 640*a**2 + 24*a**3 - 3*a**3 + 173 - 203 + 24*a**3 = 0.
-13, -1, -2/9
Let p(h) = -30*h**2 - 84*h - 52. Let u(a) = 97*a**2 + 260 - 247*a + 52*a**2 + 328*a + 340*a - a**3. Let b(t) = -22*p(t) - 4*u(t). Factor b(w).
4*(w + 1)*(w + 2)*(w + 13)
Let o(g) be the second derivative of -3*g**5/20 + 35*g**4/72 - 4*g**3/9 - g**2/12 + g + 1049. Factor o(n).
-(n - 1)**2*(18*n + 1)/6
Let y(z) be the third derivative of z**7/840 + z**6/80 - 23*z**5/48 - 51*z**4/8 + 135*z**3/2 - 1939*z**2. Suppose y(l) = 0. Calculate l.
-9, 2, 10
Let y(f) be the first derivative of 2/3*f**3 + 50/3*f + 1/30*f**4 + 157 + 5*f**2. What is b in y(b) = 0?
-5
Factor -2 - 1/11*a**2 - 23/11*a.
-(a + 1)*(a + 22)/11
Let h(g) be the first derivative of -g**5/300 + g**4/60 + g**3/2 - 155*g**2/2 - 153. Let n(u) be the second derivative of h(u). Factor n(p).
-(p - 5)*(p + 3)/5
Let j(b) be the third derivative of b**6/300 - 7*b**5/30 - 637*b**4/60 - 2401*b**3/15 - 12929*b**2. Factor j(r).
2*(r - 49)*(r + 7)**2/5
Factor -60*z**3 + 3400 + 82*z**3 + 33*z**3 - 54*z**3 + 14*z**2 - 580*z.
(z - 10)**2*(z + 34)
Let p(w) be the first derivative of -1/5*w - 86 + 1/50*w**5 - 1/4*w**2 + 1/40*w**4 - 1/10*w**3. Solve p(f) = 0 for f.
-1, 2
Suppose 2*f + 280*i = 286*i + 104, 2*f = -3*i - 40. Find z such that 32/3*z**2 + 12*z**3 + 0 + 4/3*z**f + 0*z = 0.
-8, -1, 0
Let h be (10 + 3318/35)*50/(-4). Let o = h - -3931/3. Solve o*w**4 - 7/3*w**2 + 4/3*w + 0 + 2/3*w**3 = 0 for w.
-4, 0, 1
Let i(j) be the second derivative of -j**7/273 + 7*j**6/65 + 62*j**5/65 + 80*j**4/39 - 32*j**3/13 - 16*j**2 + j - 9. What is f in i(f) = 0?
-2, 1, 26
Factor -55/8*j - 1/8*j**2 - 225/4.
-(j + 10)*(j + 45)/8
Let f(v) be the first derivative of -v**6/15 + 1236*v**5/25 - 63343*v**4/5 + 5656896*v**3/5 + 5270427*v**2 + 35478972*v/5 + 2928. Solve f(j) = 0.
-2, -1, 207
Suppose 66*l + 4 = 68*l. Factor -14*z**3 + 64*z**l - 36 + 9 - 26*z + 3.
-2*(z - 4)*(z - 1)*(7*z + 3)
Suppose 0 = 70*d - 157788 + 157438. Solve 1/3*r**4 - 1/3*r**d - 2*r + 0 - 1/3*r**2 + 7/3*r**3 = 0 for r.
-2, -1, 0, 1, 3
Suppose 102*f + 178*f - 1088 = 8*f. What is l in 1/3*l**f + 2/3 - l**2 - 1/3*l + 1/3*l**3 = 0?
-2, -1, 1
Let k(y) be the first derivative of -y**4/2 + 110*y**3/3 - 783*y**2 + 1458*y - 438. Let k(r) = 0. Calculate r.
1, 27
Factor 232*d**2 - 72*d**3 - 165*d - 361*d + 70*d**3 - 152*d.
-2*d*(d - 113)*(d - 3)
Let r(g) be the third derivative of g**5/40 - 3*g**4/4 + 11*g**3/4 + 547*g**2. Factor r(o).
3*(o - 11)*(o - 1)/2
Let k = 223 + -221. Solve -2*z**3 - 11*z**k + 26*z**2 - 11*z**2 = 0 for z.
0, 2
Let c(q) be the third derivative of -1/50*q**5 - 2 + 0*q**4 + 0*q**3 + 9/200*q**6 + 11/350*q**7 + 0*q - 9*q**2. Solve c(b) = 0 for b.
-1, 0, 2/11
Let q = 12679 + -12677. Let x(t) be the first derivative of 3/13*t**q + 10/39*t**3 + 1/26*t**4 - 2/65*t**5 + 0*t + 27. Let x(s) = 0. Calculate s.
-1, 0, 3
Let l(j) be the third derivative of j**7/490 + j**6/140 - j**4/28 - j**3/14 - 11*j**2 + 17*j. Factor l(s).
3*(s - 1)*(s + 1)**3/7
Let f(o) be the first derivative of -245*o**4/4 - 6755*o**3/3 - 21500*o**2 + 50000*o + 4002. Factor f(r).
-5*(r - 1)*(7*r + 100)**2
Let v be ((-1552)/48 + 34)/((-1122)/(-252) + (-2)/7). Solve 0*j**2 - v*j**3 + 2/5*j + 0 = 0.
-1, 0, 1
Let m be (15888/(-165))/(-8) + (-2)/5. Factor 18/11*z**3 + 312/11*z**2 + 392/11*z + m.
2*(z + 16)*(3*z + 2)**2/11
Let u = -5090 + 15272/3. Let q(w) be the second derivative of -18*w + 4*w**2 + 0 - u*w**3 + 1/24*w**4. Factor q(a).
(a - 4)**2/2
Let s(f) = 2*f**4 - f**3 + f**2. Let c = 134 - 136. Let x(i) = -7*i**4 + 10*i**3 + 27*i**2 + 4*i - 40. Let k(v) = c*x(v) - 6*s(v). Let k(p) = 0. Calculate p.
-2, 1, 10
Let o(j) be the second derivative of j**4/6 - 17*j**3/12 + j**2 + 61*j + 3. Factor o(i).
(i - 4)*(4*i - 1)/2
Let r(k) = k**3 + 21*k**2 + 20*k + 3. Let x be r(-20). Factor -4*j**3 + 4*j**x + j**3.
j**3
Suppose 286*v = -416*v + 135 + 1269. Determine r, given that -1/2*r**3 - 2 + 2*r**v + 1/2*r = 0.
-1, 1, 4
Factor -38*y**3 + 483/2*y**2 - 369*y - 1/2*y**4 + 0.
-y*(y - 3)**2*(y + 82)/2
Let l(g) be the third derivative of -g**7/1155 + 17*g**6/660 - g**5/66 - 67*g**4/12 + 22*g**3 - 780*g**2. Solve l(j) = 0.
-6, 1, 11
Let v(d) be the second derivative of -2*d**7/21 - 52*d**6/15 - 209*d**5/5 - 484*d**4/3 - 359*d + 2. Let v(h) = 0. What is h?
-11, -4, 0
Factor -1/2*c**2 - 513 + 65/2*c.
-(c - 38)*(c - 27)/2
Let k(d) be the first derivative of -d**5/10 + 3*d**4/8 + 10*d**3 - 92*d**2 + 288*d - 8873. Solve k(o) = 0.
-9, 4
Let q(z) be the first derivative of z**4/114 - 2*z**3/57 - 12*z + 56. Let p(x) be the first derivative of q(x). Factor p(v).
2*v*(v - 2)/19
Solve 2/3*v**2 - 22*v + 168 = 0 for v.
12, 21
Let n(u) be the first derivative of -5 - 1/13*u**4 + 0*u + 2/13*u**3 - 1/13*u**2. Solve n(q) = 0.
0, 1/2, 1
Let a(o) be the first derivative of -2*o**5/45 + 5*o**4/9 - 22*o**3/9 + 4*o**2 - 34. Let a(s) = 0. What is s?
0, 3, 4
Let c be -10 - (-29 - 11) - 11. Suppose c*v = 25*v - 30. Factor 6/7*k**4 - 2/7*k**v + 0*k**3 + 0 - 8/7*k**2 + 0*k.
-2*k**2*(k - 2)**2*(k + 1)/7
Let m(g) = 66*g**2 + 72*g + 16. Let q = -332 - -335. Let b(f) = 34*f**2 + 36*f + 8. Let p(c) = q*m(c) - 5*b(c). Factor p(v).
4*(v + 1)*(7*v + 2)
Let o(f) be the first derivative of -f**3/3 + 551*f**2/2 - 7134. Determine x, given that o(x) = 0.
0, 551
Let h be -9*(-5)/((-135)/(-6)). What is s in 20*s**2 - 9*s**h + 14*s**2 - 12 - 39*s - 29*s - s**2 = 0?
-1/6, 3
Suppose 0 = 959*c - 963*c - 16. Let k be (-1)/c*7 - (-40)/160. Suppose -10/3 + 20*g - 45/2*g**k = 0. Calculate g.
2/9, 2/3
Factor -41/6*g - 10/3 - 11/3*g**2 - 1/6*g**3.
-(g + 1)**2*(g + 20)/6
Let b(j) be the second derivative of 343*j**6/80 - 49539*j**5/80 + 262185*j**4/8 - 5307487*j**3/8 - 35091249*j**2/16 - 7478*j. Solve b(y) = 0 for y.
-1, 227/7
Let n(q) be the first derivative of 15*q**4/4 - 47*q**3 + 162*q**2 - 108*q - 483. Determine a so that n(a) = 0.
2/5, 3, 6
Let j(i) be the third derivative of -i**5/90 - 7*i**4/36 - 10*i**3/9 - i**2 + 189. Determine w so that j(w) = 0.
-5, -2
Let m(y) be the first derivative of