0.
1/17, 56
Let u be (-63414)/(-72) - (-9)/(-12). Factor u*p**3 - 566*p + 100*p**4 + 694*p + 990*p**2 - 334*p**2.
4*p*(p + 8)*(5*p + 2)**2
Suppose 5*q - 50*q + 18*q = -54. What is g in 4/3*g**q + 1/6*g**4 + 2/3*g + 5/6*g**3 + 0 = 0?
-2, -1, 0
Let -5*q**5 + 22*q**4 + 601 - 1151 - 172*q**4 - 1785*q - 970*q**3 - 2060*q**2 = 0. What is q?
-22, -5, -1
Factor 0 - 75/2*u**4 + 5/2*u**5 + 125*u**3 + 0*u**2 + 0*u.
5*u**3*(u - 10)*(u - 5)/2
Suppose 0 = 9*s + 14024 - 14042. Let m(f) be the second derivative of -23*f + 0 - 3/2*f**s + f**3 - 1/4*f**4. Let m(j) = 0. What is j?
1
Suppose 7*g - 2*g = 15. Suppose -g*u + w = 2*u - 41921, 25167 = 3*u + 3*w. Factor 3*h**3 - 7*h - 5*h - u*h**2 - 3*h**4 + 8397*h**2.
-3*h*(h - 2)*(h - 1)*(h + 2)
Let o(s) be the third derivative of -s**6/1260 + s**5/60 + 2*s**4/21 + 67*s**3/6 + 47*s**2. Let f(h) be the first derivative of o(h). Factor f(c).
-2*(c - 8)*(c + 1)/7
Let c(p) be the third derivative of p**6/60 + 11*p**5/6 + 2290*p**2. Factor c(f).
2*f**2*(f + 55)
Let r(f) be the first derivative of 4*f**5/5 - 22*f**4 + 140*f**3 - 296*f**2 + 256*f + 2469. Factor r(b).
4*(b - 16)*(b - 4)*(b - 1)**2
Let w be (10584/28)/(-14) + (-5070)/(-13). Factor 297*o - 243/4*o**2 - w.
-3*(9*o - 22)**2/4
Let b(p) be the first derivative of 0*p**3 + 0*p**2 + 1/24*p**4 - 12 - 1/20*p**5 - 5*p + 1/60*p**6. Let d(z) be the first derivative of b(z). Factor d(s).
s**2*(s - 1)**2/2
Suppose -5*x + 153 = 3*w, -x + 4*w - 5*w = -31. Suppose 2*y + 23 = 21, 5*p = -5*y + 15. Solve p - 13*j + j**3 + x*j - 20*j - 2 = 0 for j.
-2, 1
Let j(v) be the second derivative of 0*v**2 + 1/27*v**4 + 0 - 37/6*v**3 - 1/27*v**5 + 2*v + 5/324*v**6. Let h(q) be the second derivative of j(q). Factor h(y).
2*(5*y - 2)**2/9
Let x = -108/301 + 366/301. Factor -x*s**3 - 4/7 - 2*s - 16/7*s**2.
-2*(s + 1)**2*(3*s + 2)/7
Let h(d) be the third derivative of d**5/15 - 15*d**4/8 + 119*d**3/6 - 7660*d**2. Factor h(o).
(o - 7)*(4*o - 17)
Let q(l) = -2*l**4 + 2*l**3 - l**2 - 2*l + 2. Let b(g) = -4*g**4 - 2*g**3 - 5*g**2 + 2*g + 6. Let p(x) = b(x) - 3*q(x). What is k in p(k) = 0?
-1, 0, 1, 4
Let q(w) be the second derivative of 11*w**6/15 - 153*w**5/10 + 245*w**4/2 - 1375*w**3/3 + 750*w**2 + 50*w - 18. What is u in q(u) = 0?
10/11, 3, 5
Factor 104/7 - 103/7*v - 1/7*v**2.
-(v - 1)*(v + 104)/7
Let x(i) be the third derivative of -i**7/105 + 377*i**6/30 - 31372*i**5/5 + 7617071*i**4/6 + 80971385*i**3/3 - 4895*i**2. Factor x(y).
-2*(y - 253)**3*(y + 5)
Let x = -1032638/5 + 206528. Factor 2/5*y**3 + 2/5*y**2 - 2/5*y - x.
2*(y - 1)*(y + 1)**2/5
Let c be (-76)/2 - (649 - 689). What is m in 4/7*m**4 - 4*m**3 + 16/7 + 60/7*m**c - 52/7*m = 0?
1, 4
Let k = -2922 - -2926. Let w(c) be the third derivative of -2/9*c**3 + 0*c + 0 + 1/18*c**k - 1/180*c**5 - 6*c**2. Factor w(t).
-(t - 2)**2/3
Let t(o) = -4*o**3 + 173*o**2 - 45*o + 88. Let p be t(43). Find b such that 21/4*b**3 + 0 + 9/4*b**4 + 3/2*b**p + 0*b = 0.
-2, -1/3, 0
Suppose -54*g - 567 + 2997 = 0. Let k be (-3 - 215/g) + 8. Factor -k*d - 2/9*d**4 + 4/9*d**3 - 2/9*d**5 + 4/9*d**2 - 2/9.
-2*(d - 1)**2*(d + 1)**3/9
Suppose -23*n - 156*n = 156*n - 670. Suppose 14/3*u - 1/3*u**n - 49/3 = 0. What is u?
7
Let q(j) be the second derivative of -j**4/32 - 55*j**3/8 - 327*j**2/16 - 50*j. Factor q(f).
-3*(f + 1)*(f + 109)/8
Let o(t) = 35*t - 10. Let b(g) = g**2 + 17*g - 4. Let u = -159 + 154. Let z(i) = u*b(i) + 2*o(i). Factor z(d).
-5*d*(d + 3)
Let f = 19376 + -19336. Let y(c) be the third derivative of 0*c + 0 - 5/2*c**3 + 5/24*c**4 + f*c**2 + 1/4*c**5 - 1/24*c**6. Factor y(q).
-5*(q - 3)*(q - 1)*(q + 1)
Let j(w) be the second derivative of -7*w**6/720 - 31*w**5/240 - w**4/4 - 15*w**3/2 + 2*w + 167. Let z(y) be the second derivative of j(y). Factor z(v).
-(v + 4)*(7*v + 3)/2
Let l be (1 + 0)/1*(-1 + 6). Suppose l*x - 78 = -r + 44, -22 = -x + r. Determine s, given that 38 - 3*s**2 - 9*s - x - 2 = 0.
-4, 1
Determine u so that 777/8*u**2 + 1545/8*u + 771/8 + 3/8*u**3 = 0.
-257, -1
Let z be 146/(-292)*18/(0 + 1). Let h be 9 + 14*z/18. Factor 2/5*y**h - y + 1/5*y**3 - 6/5.
(y - 2)*(y + 1)*(y + 3)/5
Let v(b) be the first derivative of -13 + 1/24*b**4 - 1/24*b**3 + 10*b - 1/8*b**2. Let y(c) be the first derivative of v(c). Factor y(g).
(g - 1)*(2*g + 1)/4
Let f(r) be the first derivative of 3*r**4/28 - 16*r**3/7 + 33*r**2/2 - 42*r + 7592. Solve f(k) = 0.
2, 7
Let a(s) be the first derivative of -2*s**4 + 148*s**3 - 326*s**2 + 216*s + 6191. Factor a(o).
-4*(o - 54)*(o - 1)*(2*o - 1)
Let w be -3 + -6 - (-39493)/3246. Find m such that -3*m - w + 1/6*m**2 = 0.
-1, 19
Let h(o) be the first derivative of o**3/6 + o**2 - 45*o/2 - 3730. Factor h(n).
(n - 5)*(n + 9)/2
Let w be ((-15)/(-320))/((-24)/(-32)). Let d(y) be the first derivative of 12 + 5/12*y**3 + 3/4*y - 7/8*y**2 - w*y**4. Factor d(r).
-(r - 3)*(r - 1)**2/4
Suppose 102*j + 45 - 217 - 134 = 0. Let p(z) be the second derivative of 0 - 1/114*z**4 + 20*z + 1/57*z**j + 0*z**2. Suppose p(v) = 0. Calculate v.
0, 1
Let m = 92420/3 + -30806. Let d(h) be the first derivative of 8 - 2/9*h**6 + 0*h + 14/15*h**5 + 0*h**2 - 8/9*h**3 - m*h**4. Find g such that d(g) = 0.
-1/2, 0, 2
Factor 4*k + 7/3*k**3 + 0 - 1/3*k**4 - 16/3*k**2.
-k*(k - 3)*(k - 2)**2/3
Suppose 17*k + 4*s = 42, -k + 3*s = 67 - 63. Factor 1/8*p**3 + 29/8*p - 7/4 - 2*p**k.
(p - 14)*(p - 1)**2/8
Factor 3*f**5 + 117*f + 18 + 92/3*f**4 + 186*f**2 + 344/3*f**3.
(f + 1)*(f + 3)**3*(9*f + 2)/3
Factor -4213*w**2 - 14*w - 45*w - 4220*w**2 + 8434*w**2.
w*(w - 59)
Let h(v) be the second derivative of -v**5/10 + 13*v**4/12 - 55*v**3/12 + 75*v**2/8 - 122*v - 6. Suppose h(f) = 0. Calculate f.
3/2, 5/2
Factor 33*v**2 + 60*v - 57712*v**3 + 57709*v**3 + 18*v.
-3*v*(v - 13)*(v + 2)
Let p(b) be the second derivative of -b**7/70 + 13*b**6/90 - 2*b**5/15 - 11*b**3/6 + b - 9. Let s(x) be the second derivative of p(x). Factor s(g).
-4*g*(g - 4)*(3*g - 1)
Let p(j) be the first derivative of 0*j**3 + 0*j + 3/20*j**4 - 67 - 6/5*j**2. Factor p(z).
3*z*(z - 2)*(z + 2)/5
Let i(u) be the first derivative of u**7/168 + u**6/72 + 41*u**3/3 - u - 43. Let x(z) be the third derivative of i(z). Factor x(o).
5*o**2*(o + 1)
Let s(m) be the third derivative of -m**8/10080 + 13*m**7/630 - 169*m**6/90 - 13*m**5/6 + 183*m**2. Let v(z) be the third derivative of s(z). Factor v(d).
-2*(d - 26)**2
Let q be 0*4/(-4 + 0). Suppose -3*b = -9 - q. Find s such that s**b - 3*s**4 + 3*s**2 - s**3 + 3*s**3 + 3*s - 6*s**3 = 0.
-1, 0, 1
Let q be (-2120)/(-960) - (-66)/(-48). What is y in 30*y**2 - q*y**3 - 30 + 5/6*y = 0?
-1, 1, 36
Let n(u) be the third derivative of u**5/150 + u**4/3 - 7*u**3/5 + 3*u**2 - 26. Find g such that n(g) = 0.
-21, 1
Let w be 36/8*140/(-15). Let i(n) = n**2 + 45*n + 128. Let s be i(w). Factor 1/7*a**s + 169/7 - 26/7*a.
(a - 13)**2/7
Let d(z) be the second derivative of -2*z**7/21 - 14*z**6/5 - 82*z**5/5 - 8*z**4 + 256*z**3/3 + 108*z + 5. Suppose d(s) = 0. Calculate s.
-16, -4, -2, 0, 1
Let g(f) be the first derivative of 9*f**6/10 + 327*f**5/25 + 819*f**4/20 + 191*f**3/5 + 27*f**2/5 + 7177. Suppose g(z) = 0. Calculate z.
-9, -2, -1, -1/9, 0
Let g(o) be the second derivative of -o**7/63 + 2*o**6/45 + 13*o**5/10 - 20*o**4/9 - 400*o**3/9 - 4169*o. Factor g(z).
-2*z*(z - 5)**2*(z + 4)**2/3
Let q(j) be the first derivative of -j**3/4 - 33*j**2/8 + 135*j + 3148. Factor q(m).
-3*(m - 9)*(m + 20)/4
Let 0 + 2/3*d**2 - 604/3*d = 0. Calculate d.
0, 302
Factor 1900*v + 2019*v**2 + 46*v**3 + 106*v**3 + 77*v**5 - 3500 - 42*v**5 - 28*v**4 - 539*v**2 - 39*v**5.
-4*(v - 7)*(v - 1)*(v + 5)**3
Suppose 0 = 4*y - 16. What is s in -60*s**2 - 2*s - 5*s**4 - 46*s**3 + 20*s - 3*s**y + 0*s = 0?
-3, 0, 1/4
Let b = -1602 + 1602. Let k(z) be the first derivative of 0*z + b*z**2 + 0*z**5 - 2/7*z**3 - 1/14*z**6 - 2 + 9/28*z**4. Factor k(p).
-3*p**2*(p - 1)**2*(p + 2)/7
Let j(n) be the third derivative of 13*n**2 + 0*n - 8/3*n**3 - 7/18*n**4 - 1/90*n**5 + 8. Solve j(t) = 0 for t.
-12, -2
Let h = -451 - -448. Let l be h/((-4)/((-328)/(-9))). Find w such that l*w**4 + 0 + 14*w**5 + 14/3*w**2 + 158/9*w**3 + 4/9*w = 0.
-1, -1/3, -2/7, 0
Let q = -3125 - -3127. Let g(i) be the first derivative of 0*i**q + 1/54*i**6 - 2/27*i**3 + 2/45*i**5 - 1/36*i**4 + 0*i - 4. Suppose g(w) = 0. Calculate w.
-2, -1, 0, 1
Let y(o) be th