**6/10 - 3*q**5/25 - 2528. Let f(d) = 0. What is d?
0, 1
Solve -6*s**3 - 19*s**3 + 1374*s**2 - 249*s**2 - 112*s**2 + 547*s**2 + 5840 - 5940*s = 0.
2, 292/5
What is c in 331286/7*c**3 + 1006960/7*c + 2/7*c**5 - 336200/7 + 1634/7*c**4 - 1003682/7*c**2 = 0?
-410, 1
Let d(u) be the first derivative of -20*u**2 - 65 - 1/4*u**4 + 17/3*u**3 - 300*u. Factor d(b).
-(b - 10)**2*(b + 3)
Let -46*u + u**2 - 69*u + 112 - 23 + 25*u + 0*u**2 = 0. Calculate u.
1, 89
Let l(c) be the first derivative of -c**5 - 11*c**4/10 + c**3/5 - 1303. Factor l(n).
-n**2*(n + 1)*(25*n - 3)/5
Let h(i) = 502*i - 47186. Let r be h(94). Factor -1/3*a**r + 0 - 1/9*a**3 - 2/9*a.
-a*(a + 1)*(a + 2)/9
Let j = 89/2829 + 30496/19803. Factor -25/7 - 1/7*v**3 - j*v**2 - 5*v.
-(v + 1)*(v + 5)**2/7
Let h(c) be the first derivative of -1/3*c + 2/3*c**2 + 1/3*c**4 - 2/3*c**3 + 68 - 1/15*c**5. Factor h(a).
-(a - 1)**4/3
Let m(a) = 18*a**4 - 264*a**3 - 258*a**2 + 3*a. Let c(r) = -31*r**4 + 528*r**3 + 519*r**2 - 5*r. Let g(y) = -3*c(y) - 5*m(y). Solve g(o) = 0.
-1, 0, 89
Let k(v) be the third derivative of -v**7/2520 + v**5/360 + 83*v**3/6 - 102*v**2. Let f(x) be the first derivative of k(x). Factor f(i).
-i*(i - 1)*(i + 1)/3
Let o be (378/(-198))/21*44/(-20) - 2849/(-105). Find t such that -146/3*t**3 + 20*t**4 + 20/3*t + o*t**2 - 16/3 = 0.
-2/5, 1/2, 1, 4/3
Find i such that -25/8 + 85/8*i + 69/8*i**2 + 1/2*i**4 - 37/8*i**3 = 0.
-1, 1/4, 5
Let m(c) = -7*c**4 + 6*c**3 - 24*c**2 - 5. Let b be 1*(-1)/(-6) + 1740/360. Let f(j) = -8*j**4 + 4*j**3 - 24*j**2 - 6. Let n(a) = b*f(a) - 6*m(a). Factor n(q).
2*q**2*(q - 6)*(q - 2)
Let a(j) be the second derivative of 12*j + 0*j**2 + 2/3*j**3 - 1/1260*j**6 - 5/84*j**4 + 0 + 1/70*j**5. Let h(z) be the second derivative of a(z). Factor h(b).
-2*(b - 5)*(b - 1)/7
Suppose 0 = -3*t + 3. Let n(u) = 6*u**2 + u. Let f be n(t). Factor -11*a**4 - 27*a + 18*a**4 + 4*a**2 - 16*a**3 + 25*a + f*a**2.
a*(a - 1)**2*(7*a - 2)
Suppose -17*d - 50 + 418 = 75*d. Let n(c) be the third derivative of 0 + 5/6*c**d + c**2 - 10/3*c**3 - 1/12*c**5 + 0*c. Factor n(l).
-5*(l - 2)**2
Let a(s) be the second derivative of 1/4*s**5 - s**4 + 0 + 2*s**3 - 1/40*s**6 + 10*s**2 + 10*s. Let z(c) be the first derivative of a(c). Solve z(r) = 0.
1, 2
Let u(q) be the first derivative of -q**6/180 + 7*q**5/60 - q**4/2 - 17*q**3/3 - 87. Let s(d) be the third derivative of u(d). Factor s(v).
-2*(v - 6)*(v - 1)
Let v(c) be the second derivative of -c**8/2520 + 37*c**7/1260 - c**6/15 + 7*c**3/6 + c**2 + 16*c - 9. Let a(w) be the second derivative of v(w). Factor a(o).
-2*o**2*(o - 36)*(o - 1)/3
Factor -45/4*z**2 - 27/4*z + 0 - 3/4*z**4 - 21/4*z**3.
-3*z*(z + 1)*(z + 3)**2/4
Let u = 5345/4 - 8017/6. Let q(d) be the first derivative of -31 - u*d**2 + d - 1/18*d**3. Solve q(f) = 0 for f.
-3, 2
Factor 166/11*p**2 + 0 + 164/11*p + 2/11*p**3.
2*p*(p + 1)*(p + 82)/11
Solve 15251 - 4615*j + 15143 + 5096 - 175*j**3 + 81*j**3 + 80*j**2 + 99*j**3 = 0.
-42, 13
Let f(n) = 180*n**3 + 45805*n**2 + 14920*n - 30505. Let q(y) = 15*y**3 + 3817*y**2 + 1244*y - 2542. Let t(b) = -2*f(b) + 25*q(b). Let t(m) = 0. Calculate m.
-254, -1, 2/3
Suppose -216/11*z - 294/11*z**3 + 12/11*z**5 + 0 + 6/11*z**4 + 576/11*z**2 = 0. Calculate z.
-6, 0, 1/2, 2, 3
Let k = 12099 - 12092. Let m(i) be the third derivative of 0 - 1/60*i**6 + 0*i + 41*i**2 + 1/15*i**5 - 1/2*i**3 + 1/12*i**4 - 1/210*i**k. Factor m(c).
-(c - 1)**2*(c + 1)*(c + 3)
Let a(w) be the first derivative of -25*w**6/16 + 159*w**5/8 - 3153*w**4/32 + 1899*w**3/8 - 567*w**2/2 + 162*w - 591. Factor a(d).
-3*(d - 3)**3*(5*d - 4)**2/8
Factor 847/2*c**2 + 17/2 - 49/2*c**3 - 239/2*c.
-(c - 17)*(7*c - 1)**2/2
Let f(u) be the third derivative of -u**6/160 + 29*u**5/40 - 321*u**4/32 + 117*u**3/2 - 16*u**2 - 22*u. Let f(i) = 0. Calculate i.
3, 52
Let s be 92/9 + (13 - 32 - -9). Let u(w) be the first derivative of -32 - 1/18*w**4 + s*w + 1/9*w**2 - 2/27*w**3. Factor u(x).
-2*(x - 1)*(x + 1)**2/9
Let b = 15942 - 15942. Let o(s) be the first derivative of -6 + 2/15*s**3 + 1/15*s**6 - 2/25*s**5 + b*s**2 - 1/10*s**4 + 0*s. Factor o(n).
2*n**2*(n - 1)**2*(n + 1)/5
Let r be 4/8*(-32)/(-6). Suppose -204*y = -437*y + 699. Factor 0*u - r*u**2 + 2/3*u**y + 0.
2*u**2*(u - 4)/3
Let b(w) = -w - 5. Let p be b(-8). Suppose 5*i - i + 28 = 4*d, d = -p*i - 13. Find h such that 7*h**2 - 2*h - 13*h**d - 3*h**5 + 6*h**4 + 5*h = 0.
-1, 0, 1
Let i be (-28)/(-56)*(-220)/(-14) - (6 - 0). Let q be (24/(-98))/((-1)/(-7)*-2). Factor -4/7 + 12/7*n - 1/7*n**4 - i*n**2 + q*n**3.
-(n - 2)**2*(n - 1)**2/7
Let s(w) be the second derivative of -43*w + 1/105*w**7 - 4/5*w**2 + 4/15*w**3 - 1/75*w**6 + 1/6*w**4 - 1/10*w**5 + 0. Find f such that s(f) = 0.
-2, -1, 1, 2
Let p be 1*(4/((-16)/4) + 10). Let z be p - (1 - 195/(-26)). Factor -1/2 - z*g**2 - g.
-(g + 1)**2/2
Factor 4*s + 3*s**3 + 0 - 15/2*s**2 + 1/2*s**4.
s*(s - 1)**2*(s + 8)/2
Let n(j) be the first derivative of -25*j**6/36 + 599*j**5/6 - 5567*j**4/12 + 6638*j**3/9 - 1510*j**2/3 + 464*j/3 - 1203. Suppose n(b) = 0. Calculate b.
2/5, 1, 2, 116
Let h(t) = 215*t**3 - 1132*t**2 + 410*t - 134 - 383*t**2 - 1370*t - 36. Let u(c) = c**3 - 2*c**2 + 1. Let y(i) = -h(i) - 30*u(i). Factor y(w).
-5*(w - 7)*(7*w + 2)**2
Let 129725*w**3 + 5/4*w**5 + 31655360*w - 695*w**4 - 31147520 - 8297480*w**2 = 0. What is w?
2, 184
Let l(i) = -18*i**2 + 242*i + 52. Let f(z) = 2*z**2 - 27*z - 6. Let a be (-1 + (-63)/(-75))*5*-65. Let t(v) = a*f(v) + 6*l(v). Solve t(u) = 0.
0, 12
Let p(h) be the third derivative of h**6/24 + h**5/2 + 55*h**4/24 + 5*h**3 - 34*h**2 + 8*h. Suppose p(u) = 0. Calculate u.
-3, -2, -1
Let h(i) be the third derivative of 0*i**3 + 1/12*i**4 - 43*i + 2*i**2 - 1/60*i**6 + 0*i**5 + 0. Factor h(p).
-2*p*(p - 1)*(p + 1)
Let c be 1/1*(2*(-4)/8 - -1). Let f(u) be the third derivative of -1/18*u**3 - 16*u**2 - 1/180*u**5 + 1/36*u**4 + 0*u + c. What is j in f(j) = 0?
1
Let v be 5/(315/78) - (-62)/(-651). Factor -v*r**3 - 4/7*r - 10/7*r**2 + 0 - 2/7*r**4.
-2*r*(r + 1)**2*(r + 2)/7
Let j = 307 + -305. Determine u so that 10*u**j + 11*u - 33*u - 68 + 20 - 12*u**2 = 0.
-8, -3
Let z(v) be the second derivative of -36*v + 0*v**2 + 35/54*v**4 - 2 + 11/90*v**5 + 1/135*v**6 + 25/27*v**3. Factor z(a).
2*a*(a + 1)*(a + 5)**2/9
Let -1/3*f**2 + 184/3 + 61*f = 0. What is f?
-1, 184
Let v(l) = 66*l - 990. Let a be v(10). Let p be (-4)/22 + (-258)/a. Factor 0 - p*z**4 - 33/5*z**2 + 36/5*z**3 + 0*z.
-3*z**2*(z - 11)*(z - 1)/5
Let c be (-140)/6 - (-20)/(-30). Let u = c - -36. Find l, given that -3*l - 6*l + u*l - 3*l**3 = 0.
-1, 0, 1
Let n(i) be the first derivative of -2*i**5/5 + 9*i**4 - 146*i**3/3 + 108*i**2 - 104*i + 11417. Factor n(s).
-2*(s - 13)*(s - 2)**2*(s - 1)
Let w = -53/464 - 2809825/1392. Let h = -2016 - w. What is u in h*u + 10/3 - 2/3*u**2 = 0?
-1, 5
Let p be 14 - (10 - ((-28)/21 + (-52)/78)). Determine h, given that 2 + 2/13*h - p*h**2 - 2/13*h**3 = 0.
-13, -1, 1
Factor 8*b + 7578*b**3 - 15159*b**3 + 7575*b**3 + 2*b**4.
2*b*(b - 2)**2*(b + 1)
Let v be -2 + (108/(-30))/(-6)*1125/135. Factor 1/2*p**v + 0 + 0*p + 0*p**2.
p**3/2
Let g = 941 + -937. Find a such that a + 1/2*a**2 + 0 - 1/2*a**g - a**3 = 0.
-2, -1, 0, 1
Let m(d) be the first derivative of -d**6/280 - 2*d**5/35 + d**2/2 - 2*d + 126. Let w(b) be the second derivative of m(b). Factor w(p).
-3*p**2*(p + 8)/7
Let h(n) = -5*n**2 + 22*n - 18. Let t(u) be the first derivative of u**2/2 + u - 61. Let v(i) = -h(i) + 2*t(i). Determine p so that v(p) = 0.
2
Determine l, given that 19/8*l - 1/8*l**2 + 5/2 = 0.
-1, 20
Let b(n) be the first derivative of 2*n**6/3 - 56*n**5/5 - 73*n**4 + 56*n**3/3 + 144*n**2 + 8689. What is d in b(d) = 0?
-4, -1, 0, 1, 18
Let r(b) be the second derivative of -b**5/100 + 23*b**4/60 - 35*b**3/6 + 441*b**2/10 + 2487*b - 1. Factor r(x).
-(x - 9)*(x - 7)**2/5
Let y(a) be the second derivative of -a**4/5 - 5822*a**3/15 - 388*a**2 + 8452*a. Find u, given that y(u) = 0.
-970, -1/3
Let i = 78317/61033 - -22/8719. Let 36/7 - 45/7*h**2 + i*h**4 + 96/7*h - 24/7*h**3 = 0. What is h?
-2, -1/3, 2, 3
Let v(w) be the third derivative of 0*w**3 - 1/588*w**8 + 0 - 27/14*w**4 - 23/105*w**6 + 48/35*w**5 - 70*w**2 + 0*w - 32/735*w**7. Factor v(i).
-4*i*(i - 1)**2*(i + 9)**2/7
Let z(g) be the third derivative of 0 + 0*g**3 