2 - 3*w**5/4 - 5*w**3/6 + 4*w**2 - 10. Let x(s) = j(s) - 5*o(s). Factor x(r).
-5*r**2*(r + 7)
Let z(u) be the first derivative of 9*u**7/28 - 69*u**6/20 + 129*u**5/40 - 7*u**4/8 + 207*u - 282. Let v(t) be the first derivative of z(t). Factor v(x).
3*x**2*(x - 7)*(3*x - 1)**2/2
Suppose -5*n - 5*f = 0, 3*f = 3*n + 4*f - 5*f - 14. Factor -3/4*k + 1/8*k**n + 3/4*k**3 - 1/8.
(k - 1)*(k + 1)*(6*k + 1)/8
Let l be (-19)/(-76) - 30/(-8). Suppose l*t - 70 = -t. Solve 0*d**2 + t*d**3 + 16*d**2 + 4*d**4 + 6*d**3 = 0.
-4, -1, 0
Suppose z + 0*z - 1592 = 0. Let s be (z/(-160) + 10)*(-30)/(-4). Factor 0 + s*j**5 + 3/4*j**2 + 0*j + 3/2*j**4 + 15/8*j**3.
3*j**2*(j + 1)**2*(j + 2)/8
Let y(h) be the second derivative of 1/60*h**6 - 225/4*h**2 - 96*h - 1/6*h**4 + 115/8*h**3 + 1/168*h**7 - 17/40*h**5 - 2. Solve y(q) = 0.
-5, 2, 3
Factor 211/6*r**3 + 1073/6*r + 1/6*r**4 - 215/3 - 285/2*r**2.
(r - 2)*(r - 1)**2*(r + 215)/6
Suppose -4*i = 2 - 14. Let c(t) = 15*t - 253. Let f be c(17). Factor 40*n - 2326*n**f + 2416*n**2 + 2 - 135*n**4 + i.
-5*(n - 1)*(3*n + 1)**3
Let b(r) be the third derivative of -r**7/280 - r**6/32 - r**5/10 - r**4/8 - 1470*r**2. Factor b(c).
-3*c*(c + 1)*(c + 2)**2/4
Factor 0 - 2/7*r**4 - 12/7*r**3 - 10/7*r**2 + 24/7*r.
-2*r*(r - 1)*(r + 3)*(r + 4)/7
Let m(o) = o**3 - 31*o**2 + 207*o - 193. Let j be m(22). Factor 10/3*h**4 + 0 + 2/3*h**2 + 4/3*h**j + 8/3*h**3 + 0*h.
2*h**2*(h + 1)**2*(2*h + 1)/3
Let o be -3 - -15 - 33/((-5940)/(-2080)). Factor -5/9*r**3 + 2/9 + o*r**2 + 11/9*r.
-(r - 2)*(r + 1)*(5*r + 1)/9
Let a(h) be the third derivative of h**4 + 1/15*h**6 + 11/30*h**5 + 104*h**2 + 0*h + 3/2*h**3 + 1/210*h**7 + 0. Factor a(z).
(z + 1)**2*(z + 3)**2
Let z(c) be the second derivative of 1/2*c**5 + 26*c + 13/10*c**4 - 9/25*c**6 + 0 + 1/21*c**7 + 0*c**2 - 6/5*c**3. Let z(l) = 0. What is l?
-1, 0, 2/5, 3
Let t(j) = -8*j - 17. Let d be t(-4). Find g, given that -5 - 10 + 5*g + 3*g**2 - 2*g - d*g = 0.
-1, 5
Factor -2/5*u**3 - 154/5*u - 196/5 + 8*u**2.
-2*(u - 14)*(u - 7)*(u + 1)/5
Let k(y) = y**3 + 17*y**2 + 32*y + 38. Let l be k(-15). Suppose -2*d + i = -2, 6*i - l = 2*i. Factor 2 - 1/2*f**d - 3/2*f.
-(f - 1)*(f + 4)/2
Let n = 11 + -5. Let c(u) = u**3 + 12*u**2 + 18*u - 25. Let z(k) = -k**2 - k. Let x(q) = n*z(q) + 2*c(q). Determine o so that x(o) = 0.
-5, 1
Let c be (-80)/((-38400)/(-672))*(-3144)/14. Determine n so that -363/5*n**3 + 144/5 + 4224/5*n**2 + c*n = 0.
-2/11, 12
Let n(l) be the first derivative of 2*l**3/21 + 4*l**2/7 + 8*l/7 + 1000. Let n(h) = 0. What is h?
-2
Find w, given that -284/3*w**3 + 0*w + 0 + 2/9*w**5 - 422/9*w**4 + 0*w**2 = 0.
-2, 0, 213
Let y be 2196/488*(12/5)/((-1953)/(-620)). Factor 0 - 6/7*w**2 - 3/7*w**4 + 15/7*w**3 - y*w.
-3*w*(w - 4)*(w - 2)*(w + 1)/7
Let c(d) be the first derivative of -d**4/2 + 74*d**3 + 226*d**2 - 1681. Factor c(g).
-2*g*(g - 113)*(g + 2)
Suppose 85*l + 10200 - 24735 = 0. Factor 143/2*s**2 + 9*s**3 + 361/4 - l*s + 1/4*s**4.
(s - 1)**2*(s + 19)**2/4
Let m be 96/(-1560)*13*(3 - (-22)/(-4)). Factor 28 + 1/2*x**m - 15*x.
(x - 28)*(x - 2)/2
Determine g, given that 73*g - 2*g**2 + 7*g**2 + 0*g**2 + 700 + 22*g - 230*g = 0.
7, 20
Let c(i) be the third derivative of 1/210*i**7 - 3 - 1/40*i**6 + 1/8*i**4 + 2/3*i**3 - 1/12*i**5 - 19*i**2 + 0*i. Factor c(j).
(j - 4)*(j - 1)*(j + 1)**2
Let m(f) be the first derivative of -4*f**5/5 - 21*f**4 + 488*f**3/3 - 408*f**2 + 416*f - 83. Let m(t) = 0. What is t?
-26, 1, 2
Let j(x) be the second derivative of 23/90*x**6 - 160/9*x**3 - 163/60*x**5 - 1/126*x**7 + 361/36*x**4 + 50/3*x**2 - 5*x - 3. Factor j(p).
-(p - 10)**2*(p - 1)**3/3
Let s be (-87)/(-58)*8/(-54) + 1 + 120/54. Factor -147/2 - 203/2*b + 67/2*b**2 - 5/2*b**s.
-(b - 7)**2*(5*b + 3)/2
Let g be 1/(0 + (-7)/(-4)). Let w be ((-1218)/(-1421)*(-2)/9)/(1/(-12)). Factor w - 16/7*f + g*f**2.
4*(f - 2)**2/7
Let y be 340/200 + 9/30. Suppose -18317*x**2 - 714*x**3 - 15*x**4 + 139*x**3 + 18127*x**y = 0. Calculate x.
-38, -1/3, 0
Let o(z) be the third derivative of z**7/840 - 19*z**6/480 + 49*z**5/120 - 5*z**4/6 - 13*z**2 + 30*z + 1. Determine l, given that o(l) = 0.
0, 1, 8, 10
Let j(m) = 6*m**2 - 588*m + 14399. Suppose -24 = -13*c + 5*c. Let i(u) = 3*u**2 - 294*u + 7200. Let x(v) = c*j(v) - 7*i(v). Factor x(k).
-3*(k - 49)**2
Factor -658*f**3 - 108900 + 67699*f + 97193*f - 107581*f**2 - f**4 + 52248*f.
-(f - 1)**2*(f + 330)**2
Let n be (-40)/12*(-36)/9*(-1)/(-100). Factor 2/15*u**2 + 0 - 2/15*u**3 - n*u**4 + 0*u + 2/15*u**5.
2*u**2*(u - 1)**2*(u + 1)/15
Let y be 156/40 - 4 - 736/(-960). Let 2*s**2 - y*s**3 + 0 - 4/3*s = 0. Calculate s.
0, 1, 2
Let j(g) be the second derivative of g**10/12096 - g**9/10080 - g**8/6720 + 15*g**4/4 + 79*g. Let b(w) be the third derivative of j(w). Factor b(n).
n**3*(n - 1)*(5*n + 2)/2
Factor -1/2*n**5 + 0 - 50*n - 3*n**4 + 11/2*n**3 + 30*n**2.
-n*(n - 2)**2*(n + 5)**2/2
Let t(a) be the second derivative of a**4/48 - 2*a**3/3 + 55*a**2/8 + 1741*a. Factor t(x).
(x - 11)*(x - 5)/4
Suppose 116*w - 76*w = 440. Determine p so that w*p + 37*p - 50 - 94 - 2*p**2 - p**2 - p**2 = 0.
6
Let a(j) = 5*j**4 + j**3 - j**2 + 2*j + 1. Let r(y) = -61*y**4 - 284*y**3 - 81*y**2 + 428*y + 14. Let u(f) = 2*a(f) - r(f). Solve u(t) = 0 for t.
-3, -2, -2/71, 1
Let q = 153540 - 153538. Factor -8/7*o**q - 2/7*o + 10/7.
-2*(o - 1)*(4*o + 5)/7
Factor 3*n**4 + n**5 - 62862*n + 108*n**3 + 59217*n - 11*n**4 + 95*n**2 + 391*n**2 - 14*n**4.
n*(n - 9)**3*(n + 5)
Let 22 - 11/3*r**2 + 361/3*r = 0. What is r?
-2/11, 33
Let k(f) be the first derivative of -5/2*f**2 - 5/6*f**3 + 0*f - 157. Suppose k(c) = 0. What is c?
-2, 0
Suppose -2158 + 4655 = 141*l + 1792. Factor 94/3*j**4 + 12720*j**2 - 1/3*j**l + 36000 - 39600*j - 3064/3*j**3.
-(j - 30)**3*(j - 2)**2/3
Let t(q) = -2*q**3 - 23*q**2 + 13*q + 3. Let z(l) = -12*l**3 - 160*l**2 + 92*l + 20. Let p(i) = 20*t(i) - 3*z(i). Suppose p(j) = 0. Calculate j.
0, 1, 4
Suppose 6*m = -9*m + 13*m. Suppose 5*k - 53 + 43 = m. Find l, given that 53*l**2 + 3*l + 56*l**2 - 110*l**k = 0.
0, 3
Let v(r) be the second derivative of 11/15*r**6 + 2*r**3 + 19/6*r**4 + 0*r**2 - 2*r + 1 + 2/21*r**7 + 11/5*r**5. Find j, given that v(j) = 0.
-2, -3/2, -1, 0
Let h(q) be the first derivative of 2*q**3/27 + 115*q**2/9 - 232*q/9 + 415. Determine d, given that h(d) = 0.
-116, 1
Let j(s) be the second derivative of -s**8/67200 + 11*s**7/25200 + 113*s**4/12 + 99*s. Let n(i) be the third derivative of j(i). Suppose n(f) = 0. Calculate f.
0, 11
Let 160*i**2 + 4031*i**3 + 11*i**4 + 315 - 6*i**4 - 4101*i**3 + 550*i = 0. What is i?
-1, 7, 9
Factor -39*x**3 - 556 + 556 + 576*x + 21112*x**4 + 48*x**2 - 21109*x**4.
3*x*(x - 8)**2*(x + 3)
Let f(d) be the first derivative of 3/2*d + 9/8*d**2 - 55 + 1/4*d**3. Find c such that f(c) = 0.
-2, -1
Let g(d) be the first derivative of -35 + 9*d**3 + 30*d - 3/8*d**4 + 117/4*d**2. Factor g(t).
-3*(t - 20)*(t + 1)**2/2
Let k be 14/(-84)*(-2 - 28) - -10. Let q(a) be the first derivative of -k*a**4 + 3 - 22/3*a**3 + 10*a**5 + 12*a**2 + 8*a. Factor q(c).
2*(c - 1)**2*(5*c + 2)**2
Let c(o) be the first derivative of -1/3*o**3 - 224 + 0*o - 49/2*o**2. Suppose c(p) = 0. What is p?
-49, 0
Let p(r) be the first derivative of -2/27*r**3 + 0*r - 133 - 7/9*r**2. Suppose p(t) = 0. Calculate t.
-7, 0
Let d(u) be the second derivative of -u**5/300 - u**4/15 - 2*u**3/5 - 141*u**2/2 - 15*u. Let n(j) be the first derivative of d(j). Factor n(c).
-(c + 2)*(c + 6)/5
Let s(c) be the third derivative of c**5/60 - 7*c**4/24 - 17*c**3/6 + 16*c**2. Let o be s(9). Factor -o + 16*h - 3*h**2 + 4*h**3 - 3*h**3 - 13*h.
(h - 1)**3
Let c(j) be the first derivative of j**3/3 - j**2/2 - 2*j + 1. Let b(z) = 20*z**2 - 16*z - 48. Let f(a) = 2*b(a) - 44*c(a). Factor f(w).
-4*(w - 2)*(w - 1)
Let n(i) be the first derivative of -3/20*i**4 + 1/15*i**3 + 1/25*i**5 + 3/10*i**2 - 18 - 2/5*i. Suppose n(m) = 0. What is m?
-1, 1, 2
Let i(n) = 2*n**2 + 294*n - 145*n - n**3 - 1 - 149*n. Let s(t) = 25*t**3 + 35*t**2 + 5*t - 5. Let o(a) = 5*i(a) - s(a). Factor o(c).
-5*c*(2*c + 1)*(3*c + 1)
Let i(l) = 79*l**2 + 20*l - 10. Let u(j) = 32*j**2 + 10*j - 4. Let k(p) = -2*i(p) + 5*u(p). Factor k(t).
2*t*(t + 5)
Let w(t) be the third derivative of -2/5*t**3 - 2*t - 8*t**2 + 13/75*t**5 + 0 - 7/300*t**6 - 13/60*t**4. What is n in w(n) = 0?
