2 + 0 - 5/2*r**4 + s*r**3 + 0*r.
-5*r**2*(r - 8)*(r + 1)/2
Let z = -163341 + 163356. Factor 36 - 19*t**2 + z*t + 1/3*t**4 + 7/3*t**3.
(t - 3)**2*(t + 1)*(t + 12)/3
Suppose 0 = 4*d - 32 + 20. Suppose -3*x + 11 = -5*i, 0 = 3*x + d*i - 3. Factor -36/5*o**x - 28/5*o**3 - 8/5*o + 0.
-4*o*(o + 1)*(7*o + 2)/5
Let a be (46/213*9)/(450/(-280)). Let p = -2/213 - a. Let -p*i + 3/5*i**2 + 0 = 0. Calculate i.
0, 2
Let y(u) be the first derivative of 5/4*u**2 - 66 - 1/12*u**3 - 25/4*u. Find t such that y(t) = 0.
5
Let n(u) = u**4 + 3*u**2 + u + 2. Let o(c) = 9*c**4 + 35*c**3 + 321*c**2 + 393*c - 2238. Let a(b) = -8*n(b) + o(b). Find f such that a(f) = 0.
-23, -7, 2
Determine q so that -24*q**4 - 96 - 1623/2*q**2 + 536*q + 1589/4*q**3 - 7/4*q**5 = 0.
-24, 2/7, 1, 8
Let -457 + 315 + 4*b**3 + 236*b + 72*b**2 + 310 = 0. Calculate b.
-14, -3, -1
Let k be (-21)/((-357)/(-85)) + 5. Let w(a) be the second derivative of 5/3*a**3 + 0*a**4 - 1/6*a**6 - 1/2*a**5 + 26*a + 5/2*a**2 + k. What is q in w(q) = 0?
-1, 1
Let t(o) be the third derivative of o**6/960 - 379*o**5/480 + 755*o**4/192 - 377*o**3/48 - 10*o**2 + 40*o. Let t(s) = 0. Calculate s.
1, 377
Let y be ((-898656)/149184)/((-1 - 0)/6). Factor y*f**2 + 612/7*f + 324/7 + 1/7*f**4 - 34/7*f**3.
(f - 18)**2*(f + 1)**2/7
Let f(n) be the third derivative of -82*n**2 + 0 + 1/120*n**5 + 0*n - 7/24*n**4 + 0*n**3. Factor f(s).
s*(s - 14)/2
Let y(x) be the third derivative of 0 + 0*x - 14*x**2 + 0*x**4 - 1/12*x**5 - 4*x**3 - 1/72*x**6. Let b(j) be the first derivative of y(j). Factor b(d).
-5*d*(d + 2)
Suppose 5*n + 2*r + 187 = 539, 0 = -4*n + 5*r + 275. Solve 6*u**3 + n*u**2 + 76*u + 169*u - u**3 = 0 for u.
-7, 0
Suppose -3*y = -678 + 672. Let o(u) = 4*u**3 - 6*u. Let s(j) = -9*j**3 + 11*j. Let d(l) = y*s(l) + 5*o(l). Factor d(t).
2*t*(t - 2)*(t + 2)
Suppose -7556 = -2*z + 1622. What is k in 4*k**4 - 2*k**4 - 4593*k**2 + z*k**2 - 2*k**3 = 0?
-1, 0, 2
Let m = -2/1434965 - -1434971/4304895. Determine l so that m*l**2 + 7/9 + 22/9*l = 0.
-7, -1/3
Let p be 244/(-30) + 1136/8520 - 70/(-8). Factor -3/2*c - p*c**3 - 9/4*c**2 + 0.
-3*c*(c + 1)*(c + 2)/4
Let r(m) = -3*m**3 + 10*m**2 + 277*m - 1073. Let p be r(4). Factor 3/4*d - 1/4*d**p - 1/2 + 0*d**2.
-(d - 1)**2*(d + 2)/4
Let p(u) be the first derivative of u**4/36 - 8*u**3/27 + 2*u**2/3 + 2414. Suppose p(s) = 0. Calculate s.
0, 2, 6
Let c = 106757 - 106755. Determine i so that 5/8*i + 1/8*i**c + 0 = 0.
-5, 0
Let r = 1/58138 + 116271/290690. Determine d so that -r - 2/5*d + 1/10*d**2 + 1/10*d**3 = 0.
-2, -1, 2
Let a(q) be the second derivative of q**7/189 + 14*q**6/135 - 7*q**5/9 + 20*q**4/27 + 23*q**3/9 - 6*q**2 - q - 3453. Solve a(v) = 0 for v.
-18, -1, 1, 3
Suppose -15/2*g**3 - 54 + 30*g**2 - 33/8*g**4 + 36*g - 3/8*g**5 = 0. Calculate g.
-6, -2, 1, 2
Let s = -1278493/3 - -426166. Factor 0*b + s*b**3 + 0 + 2*b**2 + 1/3*b**4.
b**2*(b + 2)*(b + 3)/3
Let s be (1429088/935)/37 - (2 - 16/10). Determine z, given that 60/11*z + s + 2/11*z**2 = 0.
-15
Let x(i) = -64*i**3 + 144*i + 20. Let f(d) = -3*d**3 + 1. Let u(j) = -20*f(j) + x(j). Factor u(t).
-4*t*(t - 6)*(t + 6)
Let o(y) be the third derivative of y**5/30 - 2*y**4/3 + 4*y**3 + 25*y**2 - 6*y + 2. Let o(u) = 0. What is u?
2, 6
Let z(r) = r**3 - 61*r**2 + 626*r - 94. Let i be z(48). Factor -8/3*f**i - 1 + 25/3*f.
-(f - 3)*(8*f - 1)/3
Let r(t) be the first derivative of -3*t**5/20 + 13*t**4/4 - 6*t**3 + 133*t + 67. Let p(o) be the first derivative of r(o). Let p(f) = 0. What is f?
0, 1, 12
Let f be ((-688)/116 - -6) + (-616124)/(-27898). Determine v so that -f + 48/13*v - 2/13*v**2 = 0.
12
Let p(j) be the second derivative of -j**5/40 + 7*j**4/8 - 12*j**3 + 81*j**2 - 1763*j. Factor p(o).
-(o - 9)*(o - 6)**2/2
Let s(t) = -2*t**4 - 14*t**3 + 18*t**2 + 50*t - 43. Let h(n) = -5*n**4 - 40*n**3 + 55*n**2 + 150*n - 130. Let l(m) = -3*h(m) + 10*s(m). What is r in l(r) = 0?
-4, -2, 1
Suppose x - 1 = 2. Let l = -2057 + 2064. Suppose -w**3 - 14*w**2 + l*w - x*w + 4 + 4*w**2 + 9*w**2 = 0. Calculate w.
-2, -1, 2
Let f(t) be the first derivative of -25*t**6/14 - 39*t**5 - 111*t**4/14 + 284*t**3/7 - 108*t**2/7 + 1066. Solve f(h) = 0 for h.
-18, -1, 0, 2/5
Let o = -22540 - -22544. Let p(z) be the third derivative of 0 + 6*z**2 + 3/4*z**3 + 5/16*z**o + 0*z + 1/40*z**5 - 1/80*z**6. Factor p(s).
-3*(s - 3)*(s + 1)**2/2
Factor 3/4*r**3 - 177/4*r**2 + 2325/4*r + 8649/4.
3*(r - 31)**2*(r + 3)/4
Solve 349 + 35 + 241*i - 65*i + 4*i**2 - 38*i**3 + 34*i**3 = 0 for i.
-4, -3, 8
Let p be (3 + (-72)/1)*8/468. Let m = p - -131/78. What is x in -x + m*x**2 - 3/2 = 0?
-1, 3
Let d(a) be the third derivative of -a**8/84 - 8*a**7/105 + 47*a**6/30 - 118*a**5/15 + 58*a**4/3 - 80*a**3/3 + 9801*a**2. Find k such that d(k) = 0.
-10, 1, 2
Let d(o) be the second derivative of 5*o**4/12 + 2315*o**3/6 - 1160*o**2 - 1666*o. Suppose d(a) = 0. Calculate a.
-464, 1
Let v(z) = 4*z - 16. Suppose 10 = 5*w - 4*h - 22, 3*h = -5*w + 11. Let u be v(w). Factor 16/5*m + 8/5*m**2 + u + 1/5*m**3.
m*(m + 4)**2/5
Suppose -33*x = -39*x + 18. Solve -208*n - 5*n**x - 30*n - 81*n + 34*n - 150*n**2 - 140 = 0 for n.
-28, -1
Suppose 0 = 3*m + 6, -27 = -x - 2*m - 2. Suppose 6*l - 24 = 168. Factor -2*c + l*c**2 - x*c**2 - c.
3*c*(c - 1)
Let i be 7/(((-322)/(-805))/(148/70 - 2)). Factor 13/3*c**i + c**3 - 17*c + 12 - 1/3*c**4.
-(c - 3)**2*(c - 1)*(c + 4)/3
Let q(d) = d**3 + 11*d**2 - 42*d - 11. Let t be q(-14). Let c be 4 + (t/(-132))/(2/(-87)). Solve -5/8*w**2 - c*w**3 - 1/8*w + 1/8 = 0 for w.
-1, 1/3
Suppose 371*x = 112*x + 777. Let n(i) be the first derivative of 3/4*i**4 - 3/10*i**5 - 3/2*i**2 + 1/2*i**x + 23 + 0*i. Find m, given that n(m) = 0.
-1, 0, 1, 2
Let m(w) be the third derivative of -3*w**6/320 - w**5/80 + 7*w**4/64 - w**3/8 + 22*w**2 - 12. Factor m(c).
-3*(c - 1)*(c + 2)*(3*c - 1)/8
Let w = -505 + 990. Let -987 + 464 - b**3 + w + 21*b + 18*b**2 = 0. Calculate b.
-2, 1, 19
Let j(s) be the third derivative of -s**5/150 - 19*s**4/60 - 14*s**3/3 - 596*s**2. Let j(u) = 0. Calculate u.
-14, -5
Let b be ((-1)/2)/((-55)/22)*5. Let m be 20*b/9 + 8/(-36). Find o such that 0*o + 0*o - 117*o**3 - m*o**4 + 129*o**3 = 0.
0, 6
Factor -116/3*i**2 - 40/3*i - 36*i**3 + 0 - 28/3*i**4 + 4/3*i**5.
4*i*(i - 10)*(i + 1)**3/3
Let r(n) = -2*n - 23. Let l be r(-19). Solve -10*x**3 - 16*x**4 + l*x**4 - 7*x**2 - 28*x + 46*x = 0 for x.
-9, -2, 0, 1
Let a be (-3)/(30/(-68))*3525/180. Let q = a - 261/2. Determine z, given that -2/3 - 5/3*z**3 + q*z**2 - 1/3*z = 0.
-2/5, 1
Let t(h) be the second derivative of -3/20*h**5 - 1/2*h**4 - 6*h**2 + 7/2*h**3 + 26 - h. Factor t(v).
-3*(v - 1)**2*(v + 4)
Let a(j) be the second derivative of 1/5*j**6 - 106*j - 13/6*j**4 - 1/2*j**5 + 6*j**2 + 0 + 1/3*j**3. Solve a(s) = 0 for s.
-1, 2/3, 3
Factor -147*a**2 + 3*a**3 - 108295 - 108*a**2 - 264*a + 108811.
3*(a - 86)*(a - 1)*(a + 2)
Let q(t) = -t**3 + 10*t**2 - 19*t + 368. Let z be q(11). Let s be (z/(-57))/(28/(-24) + 1). Factor s + 1/2*h**2 + 3*h.
(h + 2)*(h + 4)/2
Let m be (-21)/(-30)*(-25590)/(-23884). Suppose 3*c + 3/2*c**3 + m*c**4 + 0 - 21/4*c**2 = 0. What is c?
-4, 0, 1
Let i = -662/9 - -677/9. Let p(b) be the second derivative of 109/6*b**4 + 13*b**5 - 3*b + 36*b**2 + 0 + i*b**6 - 52*b**3. Find w such that p(w) = 0.
-3, 2/5
Let i be ((-7293)/34)/(-33) + (-36)/8. Factor 11/2*p**4 + 9/2*p**i + p + 15/2*p**3 + 0 + 3/2*p**5.
p*(p + 1)**3*(3*p + 2)/2
Suppose -n = -0*n - 2*w - 9, 4*n + 3*w - 58 = 0. Suppose -b = -n + 8. Factor -b*j + 3*j**2 + 15*j**3 + 0*j**3 - 2*j**2 + 9*j**2.
5*j*(j + 1)*(3*j - 1)
Solve 4/5*u**2 - 741/5 - 2963/5*u = 0.
-1/4, 741
Let p(b) be the third derivative of 42*b**2 + 3/5*b**6 + 11/4*b**4 + 0*b**3 + 0*b + 1/70*b**7 + 9/4*b**5 + 0. Factor p(s).
3*s*(s + 1)**2*(s + 22)
Suppose 2115*j**2 + 78*j**3 + 10*j**4 - 23*j**3 + 3297*j**2 + 225*j**3 + 17424*j - 6*j**4 = 0. Calculate j.
-33, -4, 0
Factor 12952*o**2 - 7*o**3 + 3*o**3 + 14912*o**2 - 64700208*o + 50077960992.
-4*(o - 2322)**3
Suppose 4*o - 164 = -2*p, -5*p - 3*o + 565 - 176 = 0. Determine y, given that -4*y**4 + 29*y**3 + 3*y**3 + 57*y - p*y**2 - 9*y = 0.
0, 1, 3, 4
Let -544*m - 181*m**3 + 118 - 2*m**5 + 585*m**2 + 74 - 53*m**3 - 37*m**2 + 112*m**4 - 72*m**4 = 0. Calculate m.
1, 2, 4, 12
Let u(v) be the second derivative of v**7/189 - v**6/27 - v**5/15 -