**4 + 0*g + 0 + b*g**5 = 0?
0, 1, 13
Let q(r) = -2*r**3 - 35*r**2 - 240*r - 4642. Let h be q(-18). Solve 0 - 2/3*f**5 - 2/3*f**2 + 2/3*f**4 - 4/3*f + h*f**3 = 0.
-1, 0, 1, 2
Let v = 105 + -102. Solve 5*x**3 + v*x**2 + 8396*x - 8396*x - x**5 + x**4 = 0.
-1, 0, 3
Let a(b) = 12*b**2 + 26*b - 50. Let c(y) = 14*y**2 + 26*y - 48. Let n(j) = -6*a(j) + 5*c(j). Solve n(z) = 0 for z.
-15, 2
Let z(o) = -6*o**4 + o**3 + o**2 + 4*o. Let b(c) = 20*c**4 + 227*c**3 + 5453*c**2 - 69204*c. Let r(x) = 2*b(x) + 6*z(x). What is j in r(j) = 0?
-62, 0, 9
Let c(b) be the second derivative of b**5/60 + 103*b**4/18 + 1802*b**3/3 + 3468*b**2 - 124*b - 3. Factor c(o).
(o + 2)*(o + 102)**2/3
Let x(r) = 3*r**3 + r**2 - 3*r + 2. Let j = 37 + -36. Let i be x(j). Solve -22*m**3 + 24*m**i + 8*m**2 + 4*m**2 + 0*m - 14*m = 0 for m.
-7, 0, 1
Let d(q) = -205*q**2 - 2653*q + 159. Let s be d(-13). Determine a so that -4/5*a**4 + 2/5*a**5 + 6/5*a + 0 + 4/5*a**2 - 8/5*a**s = 0.
-1, 0, 1, 3
Factor 8124506/7 + 250/7*z**4 + 11420/7*z**3 + 2/7*z**5 + 235820/7*z**2 + 2252770/7*z.
2*(z + 13)**3*(z + 43)**2/7
Let u = 445 - 395. Let 212 + 337 - 120 - u*f + f**2 + 219 - 23 = 0. What is f?
25
Let k be (-9)/21*(-154)/(-22). Let v be 1 + k - (-594)/135. Solve 15*c**2 - 57/5*c**3 - 3/5*c**5 - 48/5*c + v + 21/5*c**4 = 0 for c.
1, 2
Suppose 2*o - 10*q = 54 + 60, 0 = -5*o + 3*q + 43. Determine c, given that 1/2*c**o + 1/2 + 5/4*c = 0.
-2, -1/2
Suppose -5581 - 6803 = 8*l. Let i be l/(-84) + (-4)/((-56)/(-6)). Factor 6*n**2 - 60*n**3 + 25*n**3 + 32*n**3 + 15*n - i.
-3*(n - 3)*(n - 1)*(n + 2)
Factor -332/13 - 336/13*j**2 - 666/13*j - 2/13*j**3.
-2*(j + 1)**2*(j + 166)/13
Let t(y) be the first derivative of y**4/72 + y**3/9 - 19*y + 70. Let n(b) be the first derivative of t(b). Factor n(x).
x*(x + 4)/6
Suppose y - 2*a = 551, -4*y = -2*a - 3*a - 2213. Let d = 1011 - y. Suppose 102*z - d*z - 196*z**3 + 732*z**2 + 48 - 32*z**2 = 0. What is z?
2/7, 3
Let u be 3/7 - (-66)/77. Let a(h) = 24*h**2 + 197*h + 404. Let w be a(-4). Determine n, given that -16/7*n**2 - u*n**4 + w - 3*n**3 - 4/7*n = 0.
-1, -2/3, 0
Suppose 0 = 21677*m - 21781*m + 624. What is d in 18/5 + m*d + 14/5*d**2 + 2/5*d**3 = 0?
-3, -1
Let y(r) be the first derivative of -36/11*r + 3/22*r**4 - 12 - 3/11*r**2 + 12/11*r**3. Find s, given that y(s) = 0.
-6, -1, 1
Let r be (-1)/4 - (-7072)/1664. Let m(b) be the third derivative of 1/420*b**5 + 0 - 10*b**2 - 2/7*b**3 - 1/42*b**r + 0*b. Factor m(g).
(g - 6)*(g + 2)/7
Suppose -8*t + 41*t - 102 = -18*t. Let q(u) be the first derivative of -3/5*u**t - 1/10*u**4 + 2/3*u**3 + 10 - 18/5*u. Factor q(i).
-2*(i - 3)**2*(i + 1)/5
Let o(z) be the third derivative of -z**8/171360 + z**7/21420 + 61*z**5/30 + 2*z**2 + 103. Let t(m) be the third derivative of o(m). Factor t(u).
-2*u*(u - 2)/17
Let x = -603 + 3533/6. Let r = x - -110/3. Let 27/4*a**4 + 27/4 - r*a**3 - 3/4*a**5 + 69/2*a**2 - 99/4*a = 0. Calculate a.
1, 3
Let x(q) be the first derivative of -2*q**3/21 + 1004*q**2/7 + 2010*q/7 + 1781. Factor x(d).
-2*(d - 1005)*(d + 1)/7
Let p = -241634/9 + 26850. Find f, given that p - 14/9*f - 2/9*f**2 = 0.
-8, 1
Let j(d) be the second derivative of d**6/24 + 13*d**5/2 + 2215*d**4/6 + 9100*d**3 + 110250*d**2 + 663*d + 2. Suppose j(c) = 0. What is c?
-42, -10
Let k be (-4)/(-10) + 0 + (-24)/(-3) + (-19488)/3920. Factor -64/7*c**2 - k*c**4 - 8/7 + 8*c**3 + 4/7*c**5 + 36/7*c.
4*(c - 2)*(c - 1)**4/7
Factor -10764*t - 11426*t + 21365*t + 5*t**2 + 6280.
5*(t - 157)*(t - 8)
Let d(n) = -15*n + 124. Let z be d(8). Let y(b) be the first derivative of -11/5*b**3 - 18/5*b**2 + 3 + 3/25*b**5 + 108/5*b + 3/10*b**z. Factor y(m).
3*(m - 2)**2*(m + 3)**2/5
Let r be (-298)/(23/(161/196)). Let w = r - -78/7. Factor 1/2*t**4 - 1/2*t**2 - w*t**3 + 0 + 1/2*t.
t*(t - 1)**2*(t + 1)/2
Let w(g) = -22*g - 6. Let a(q) = 15*q + 4. Let h(i) = 7*a(i) + 5*w(i). Let k be h(-1). Solve 23*m**2 + 10*m + 20*m**3 + 2 + 0 + 2*m**5 - k*m**2 + 10*m**4 = 0.
-1
Let x = -13 - -15. Let b be (-20)/(-18)*(-390)/(-650). What is w in -10/3*w + b*w**x + 8/3 = 0?
1, 4
Let t(i) be the third derivative of i**5/270 + 100*i**4/27 - 686*i**2. Factor t(p).
2*p*(p + 400)/9
Factor -3 - 17/4*s - 7/8*s**2.
-(s + 4)*(7*s + 6)/8
Solve 63/5*r + 1/5*r**5 + 12/5*r**4 - 26/5 - 34/5*r**2 - 16/5*r**3 = 0.
-13, -2, 1
Let v(y) = -2*y + 26. Let j be v(9). Suppose -5*p = -7*p + j. Solve t**5 - 5*t**5 - 8*t**2 + 12*t + 12*t**p + 65 - 8*t**3 - 69 = 0.
-1, 1
Suppose 3*v**4 + 25*v**4 + 7*v**5 + 45*v**3 + 9*v**4 - 12*v**2 - 52*v - 13*v**2 - 12 = 0. Calculate v.
-3, -2, -1, -2/7, 1
Suppose 2088 - 28/3*c**3 + 7996*c + 7216/3*c**2 = 0. Calculate c.
-3, -2/7, 261
Let j(h) be the first derivative of -h**4/2 - 258*h**3 - 49923*h**2 - 4293378*h + 1138. What is t in j(t) = 0?
-129
Let p be (-9)/(7/98*-42). Find v, given that -159014/11 - 11094/11*v - 2/11*v**p - 258/11*v**2 = 0.
-43
Let r be (8/(-6))/(-4*(-2)/(-3612)). Let p = r - 2407/4. Let -1/4*u**4 + 1/2*u**3 - 1/4*u**5 - p*u - 1/4 + 1/2*u**2 = 0. Calculate u.
-1, 1
What is a in -8*a - 151 - 6*a**2 + 159 - 4*a**2 - 16*a**4 - 2*a**5 + 10*a**3 + 0*a**5 + 18*a**4 = 0?
-2, -1, 1, 2
Let d = 80 + -78. Let b be (116/(-10))/(-4*(-1)/(-10)). Determine i so that -4*i - b*i**d + 3*i**3 - 25*i**2 - i**4 - 8*i**3 + 46*i**2 = 0.
-2, -1, 0
Let y(b) be the first derivative of 1/6*b**6 - 4/5*b**5 - 3/4*b**4 + 4*b**2 + 214 + 0*b + 10/3*b**3. Factor y(m).
m*(m - 4)*(m - 2)*(m + 1)**2
Suppose 2*g - 4*g + 22 = 0. Let c(r) = r**3 - 12*r**2 + 16*r - 16. Let u be c(g). Find d, given that 36*d + 8*d**4 + 2 - 10*d**2 - u*d + 0 + 3*d**5 = 0.
-2, -1, 1/3, 1
Let z = -11 - -21. Suppose 2*f = l + z, 3*f - 3*l + 7*l = -7. Let -11*a**5 - 9*a**5 - 16*a**2 - 8*a**4 + 50*a**3 + 13*a**f - 3*a**3 - 16*a = 0. Calculate a.
-2, -2/5, 0, 1
Suppose 9*g = 12*g. Suppose a = -2*a - 5*m - 6, -3*a - 2*m + 3 = 0. Suppose g*c**3 + 15*c - 6 + 3*c**a + 24*c**2 - 36*c**2 + 0*c**3 = 0. Calculate c.
1, 2
Let w(c) be the third derivative of 75*c**7/14 - 3385*c**6/4 + 461029*c**5/12 - 50775*c**4/2 + 6750*c**3 - 1552*c**2. Factor w(y).
5*(y - 45)**2*(15*y - 2)**2
Suppose -4*p - 20 = 0, -4*h + 2*p = 7*p - 119. Let j be (-18)/(-10)*15/h. Factor -1/4*n**2 - j - n.
-(n + 1)*(n + 3)/4
Let -1128/7*h**2 - 726/7 + 3/7*h**5 + 54/7*h**4 + 1683/7*h + 114/7*h**3 = 0. Calculate h.
-11, 1, 2
Let u be (-1 + (-10)/(-8))*72/3. Let y be (-42)/(-120) - u/60. Factor y*f**2 + 0 + 0*f.
f**2/4
Find p such that 4156/11*p - 26/11*p**4 - 316/11*p**3 + 602/11*p**2 + 624/11 = 0.
-13, -3, -2/13, 4
What is g in 6/7*g**4 + 174/7*g**3 - 900/7 + 606/7*g**2 + 114/7*g = 0?
-25, -3, -2, 1
Suppose 148*n**2 + 286*n**3 + 4*n**4 + 240*n + 144 - 536*n**3 + 290*n**3 = 0. Calculate n.
-3, -2
What is t in 255*t - 5262*t**2 - 3904 + 53*t + 5258*t**2 = 0?
16, 61
Let v(p) = -p**2 - 3*p - 2. Let t be v(-6). Let i = t - -22. Factor -1 + 10*u + 5*u**i + 1 - 5*u**3.
-5*u*(u - 2)*(u + 1)
Let h be -4 + 9 + (12/3 - 5). Factor 0 + 5*m**3 + 20*m + h - m**3 + 58*m**2 - 41*m**2.
(m + 2)**2*(4*m + 1)
Let s(i) = -3*i**4 - 3*i**3 + 15*i**2 + 17*i. Let c(u) = -2*u. Let n(h) = 13*c(h) + s(h). Let n(m) = 0. What is m?
-3, 0, 1
Suppose 3*w = 4*w + 2*o + 8, -o = w + 3. Let l be (2 + 1)*(-124)/(-36) + -5. Let l*z - 4/3*z**w + 20/3 = 0. Calculate z.
-1, 5
Let c be ((-432)/(-351))/(24/468). Solve -2/3*w**2 - 216 - c*w = 0 for w.
-18
Suppose 8*j = 628 + 212. Let b be ((-14)/j)/(1/(-5)). Factor 0 - 30*f**4 - b*f + 2/3*f**2 + 14*f**3.
-2*f*(3*f - 1)**2*(5*f + 1)/3
Let k(i) be the second derivative of -i**4/42 - 190*i**3/21 - 9025*i**2/7 + 293*i + 1. Let k(y) = 0. Calculate y.
-95
Let m(o) = -o**3 + 2*o**2 + 23*o + 8. Let v be m(6). Factor -12 - 8*u**2 + 6*u**v + 3*u**2 + 2*u**2.
3*(u - 2)*(u + 2)
Let c(v) be the second derivative of v**6/105 + 186*v**5/35 - 760*v**4/7 + 2624*v**3/3 - 24576*v**2/7 - 8096*v. Factor c(d).
2*(d - 4)**3*(d + 384)/7
Let g = 616031/64170 + 1/64170. What is c in 0*c + 4/5*c**3 + 0 + g*c**2 = 0?
-12, 0
Let r(h) be the first derivative of 21*h**5/5 - h**4/4 - 16*h**3/3 - 2*h**2 + 4870. Factor r(f).
f*(f - 1)*(3*f + 2)*(7*f + 2)
Suppose 94 = -11*l + 138. Suppose 60*v**l - 32 + 82*v**2 + 144*v - 250*v**2 - 2*v**3 - 2*v**3 = 0. Calculate v.
-2, 2/5, 2/3, 1
Suppose 69 - 2*q**2 - 460*q + 185 + 38 + 173 - 3*q**2 = 0. What is q?
-93, 1
Suppose -4*x = -4,