20*k**5 - 1/24*k**4 + 0 + 1/18*k**3 + h*k + 0*k**2. Factor f(r).
r*(r - 2)*(r - 1)/6
Let o(g) = g. Let z(r) = r**2 + 9*r. Let a(j) = -17*j + 132. Let i be a(8). Let n(h) = i*o(h) - z(h). Suppose n(m) = 0. Calculate m.
-13, 0
Let o(y) = 5*y + 3. Suppose -2*t - 2*c + 16 = 0, 2*t + 2*c - 19 = -t. Let q be o(t). Solve -5 - 5 + 16 + 10*f - 2*f**2 - q = 0 for f.
2, 3
Find v, given that -819/5*v**3 + 178/5*v**2 - 7*v**5 + 284/5*v - 676/5*v**4 - 72/5 = 0.
-18, -1, 2/7, 2/5
Factor -4448*i**3 + 219904/3*i**2 - 501760*i + 96*i**4 + 1228800 - 2/3*i**5.
-2*(i - 60)**2*(i - 8)**3/3
Factor 15*z**3 + 121 + 806*z**2 - 476 + 705*z + 269*z**2.
5*(z + 1)*(z + 71)*(3*z - 1)
Let m be 3/(30/46) + (-50)/(-125). Factor -3*n**5 + 7*n**5 + 34*n**3 + 2*n**4 - m*n**5 - 35*n**3.
-n**3*(n - 1)**2
Suppose -4*s + 9*s - q - 15 = 0, 0 = -3*q. Suppose 552*b + 2049*b - 153*b**2 - 6*b**3 - 9305 + 9*b**s - 5434 = 0. What is b?
17
Let t be ((-115)/25 + 5)/((-78)/(-65))*0. Let l(h) be the third derivative of 0*h - 1/120*h**5 - 7/12*h**3 + 1/6*h**4 + t - 8*h**2. Suppose l(w) = 0. What is w?
1, 7
Let i(l) = -l**5 - l**4 + l**3 + l**2 - 1. Let k(o) = o**2 + 20*o - 45. Let t be k(-22). Let b(j) = -2*j**5 + 2*j**3 - 1. Let m(f) = t*b(f) + i(f). Factor m(g).
g**2*(g - 1)**2*(g + 1)
Let c = -1303/150 - -5231/300. Find q, given that 49/4*q + 0 + c*q**2 - 13/4*q**3 + 1/4*q**4 = 0.
-1, 0, 7
Let v = -26 - -26. Suppose v = -d - d + 6. Let 5*i**2 + 566 - 566 - 2*i**2 - d*i**3 = 0. What is i?
0, 1
Suppose -5*m = -140 + 35. Factor -36 + 5*j**2 - 7*j**4 + 2097*j - 2154*j + m*j**3 + 2*j**4.
-(j - 3)**2*(j + 1)*(5*j + 4)
Suppose 144*s - 150 = 134*s. Let d be (-918)/204*(-2)/s. Factor d*g**4 + 0 - 24/5*g - 12/5*g**2 + 6/5*g**3.
3*g*(g - 2)*(g + 2)**2/5
Factor -110/7 + 2/7*z**2 + 108/7*z.
2*(z - 1)*(z + 55)/7
What is r in -296*r**2 - 2*r**4 - 269*r**2 - 24 - 31*r**3 - 86*r + 474*r**2 = 0?
-12, -2, -1, -1/2
Let t(q) be the first derivative of 45*q + 5120/3*q**3 + 480*q**2 - 106. Find l, given that t(l) = 0.
-3/32
Let j = 2627549/13 + -202119. Factor 0*x + 2/13*x**2 - j.
2*(x - 1)*(x + 1)/13
Let g = -280 - 175. Let q = g + 455. Suppose -1/7*m**4 + 2/7*m**2 + 0*m + q*m**3 - 1/7 = 0. What is m?
-1, 1
Let v = 50 + -48. Suppose -q = -v*q + 20. Determine o, given that 1134*o**3 + 35*o**2 - 15*o**4 - q*o**4 - 1144*o**3 + 10*o = 0.
-1, -2/7, 0, 1
What is d in -453*d**2 - 555*d - 16*d**5 + 450 + 19*d**5 + 111*d**2 - 108*d**4 + 552*d**3 = 0?
-1, 1, 5, 30
Let 1583*j**3 - 9867*j**4 - 75*j**5 - 648*j**4 + 6865*j**3 - 1692*j**2 = 0. Calculate j.
-141, 0, 2/5
Let d = 68272 + -477901/7. Factor 4/7 - 8/7*g + 2/7*g**3 - 1/7*g**4 + d*g**2.
-(g - 2)*(g - 1)**2*(g + 2)/7
Let l(i) be the third derivative of -7*i**7/30 - 301*i**6/40 + 171*i**5/4 - 567*i**4/8 + 2*i**2 - 1. Factor l(r).
-r*(r + 21)*(7*r - 9)**2
Let f(q) be the third derivative of -q**6/72 - q**5/6 + 25*q**4/24 - 91*q**3/6 + 81*q**2. Let j(w) be the first derivative of f(w). Find x such that j(x) = 0.
-5, 1
Suppose -5*h - 4*h = -27. Determine j so that 2536*j**h - 5*j**2 - 2534*j**3 + 4*j - j**2 = 0.
0, 1, 2
Let u(m) be the third derivative of 0*m + 0 - 5/24*m**4 + 0*m**3 + 3/40*m**5 + 1/240*m**6 + 66*m**2. Find x, given that u(x) = 0.
-10, 0, 1
Let n be 124/18 - (-61)/(793/(-78)). Let u(c) be the first derivative of -4/9*c**2 + 4 - 2/27*c**3 - n*c. Factor u(g).
-2*(g + 2)**2/9
Let p be (-51 + 59)/((-8)/(-5)). Let i be 6*(0 - -2)*13/52. Solve -318/5*n**i - 24/5*n - 48*n**4 + 0 - 10*n**p - 152/5*n**2 = 0.
-3, -1, -2/5, 0
Let 757*k**2 - 283 + 44*k**4 - 565*k**3 - 984*k - 122 - 951*k - 14*k**4 + 2118*k**2 = 0. What is k?
-1/6, 1, 9
Let t = -650 - -1048. Suppose -10*r - 378 = -t. Solve 0 + 0*y - 3/4*y**r - 9/8*y**3 + 3/4*y**4 = 0 for y.
-1/2, 0, 2
Suppose 3*s = -30, -19*o = -22*o + s + 19. Factor -33/8*k - 9/2 - 5/4*k**2 - 1/8*k**o.
-(k + 3)**2*(k + 4)/8
Let 147452/3*w**2 - 145924/3*w + 4/3*w**4 + 0 - 1532/3*w**3 = 0. What is w?
0, 1, 191
Suppose 342*k - 460 = -268*k + 439*k - 118. Factor -19/4 + 5*i - 1/4*i**k.
-(i - 19)*(i - 1)/4
Let y(p) = -2*p**2. Let q(l) = 6*l**2 - 4*l + 6. Let c be (-54)/(-216) + (-34)/8. Let m(t) = c*y(t) - q(t). Determine d so that m(d) = 0.
-3, 1
Let q(g) = 4*g**4 + 5 - 11*g**2 + 51243*g**3 + 4 - 51244*g**3. Let y(b) = -4*b**4 + 12*b**2 - 12. Let t(w) = -4*q(w) - 3*y(w). Let t(d) = 0. What is d?
-1, 0, 2
Let x(h) be the first derivative of 4*h**5/25 - 41*h**4/10 + 188*h**3/15 - 73*h**2/5 + 36*h/5 - 1405. Find g such that x(g) = 0.
1/2, 1, 18
Let n(t) be the first derivative of -34 + 0*t**2 + 0*t - 2/51*t**3. Factor n(b).
-2*b**2/17
Let t be (-12)/18 + 203/84 + 1*(-5)/(-20). Suppose -3/5*y + 1/5*y**t + 2/5 = 0. Calculate y.
1, 2
Let k(u) = -72*u**5 + 132*u**4 + 678*u**3 + 861*u**2 + 21*u. Let s(w) = 7*w**5 - 13*w**4 - 68*w**3 - 86*w**2 - 2*w. Let x(b) = -2*k(b) - 21*s(b). Factor x(a).
-3*a**2*(a - 7)*(a + 2)**2
Let y(h) be the second derivative of 1/168*h**7 - 1/40*h**6 - 3/80*h**5 - 82*h + 7/48*h**4 + 0 + 1/4*h**3 + 0*h**2. Factor y(x).
x*(x - 3)*(x - 2)*(x + 1)**2/4
Let x be 0/1 + 1 - -4. Suppose -f + 0 - 53 = 5*t, 0 = -5*f + t + 21. Determine y, given that -1/6*y**x - 7/6*y**f + 0 - 5/6*y**4 - 3/2*y**3 - 1/3*y = 0.
-2, -1, 0
Let k(o) be the third derivative of 0*o - 2/3*o**3 + 1/420*o**6 + 9*o**2 + 0 - 2/105*o**5 - 19/84*o**4. Factor k(g).
2*(g - 7)*(g + 1)*(g + 2)/7
Let a(d) be the third derivative of d**6/600 + d**5/20 - 4*d**4/5 + 8*d**3/3 - 102*d**2 + 6. Solve a(t) = 0 for t.
-20, 1, 4
Let h(j) be the third derivative of -2*j**7/735 + 3*j**6/70 + 62*j**5/105 + 18*j**4/7 + 16*j**3/3 - 2853*j**2 + 2*j. Solve h(n) = 0 for n.
-2, -1, 14
Let z be 6*(-15)/10 + 8/(-4). Let h be 1/6*78 + z. Factor -24/5*t**4 - 72/5*t**h + 66/5*t**3 + 0 + 3/5*t**5 + 27/5*t.
3*t*(t - 3)**2*(t - 1)**2/5
Let i(q) = -6*q**5 + 20*q**4 + 32*q**3 - 35*q**2 - 29*q. Let y(a) = 9*a**5 - 19*a**4 - 30*a**3 + 36*a**2 + 28*a. Let h(c) = -4*i(c) - 3*y(c). Solve h(s) = 0.
-4, -2/3, 0, 1
Let q = 1726184 - 1725942. Factor -9/2*x**3 - 1001/2*x - q + 97*x**2.
-(x - 11)**2*(9*x + 4)/2
Let m(v) be the second derivative of v**6/180 - v**5/24 - v**4/24 + 5*v**3/4 - 9*v**2/2 + 47*v - 34. Let m(q) = 0. What is q?
-3, 2, 3
Let a(k) be the second derivative of 5*k**7/42 + 2*k**6/3 + k**5/4 - 35*k**4/6 - 50*k**3/3 - 20*k**2 - 1796*k. Solve a(v) = 0.
-2, -1, 2
Let l(r) be the second derivative of r**8/30240 - 2*r**7/2835 + 7*r**6/3240 + 89*r**4/12 - 6*r + 16. Let d(v) be the third derivative of l(v). Factor d(z).
2*z*(z - 7)*(z - 1)/9
Let k(r) = -13*r**3 - 3*r**2 + 8*r + 13. Let c = 21 - 18. Let y(i) = -26*i - 2*i**2 + i**2 + 56*i + 7 - 26*i - 7*i**c. Let f(m) = 3*k(m) - 5*y(m). Factor f(u).
-4*(u - 1)*(u + 1)**2
Let s(x) = x**3 + 2*x + 2. Let k(i) = -19*i**3 - 5*i**2 - 8*i + 153. Let b(c) = -k(c) - 4*s(c). Let y(q) be the first derivative of b(q). Solve y(v) = 0 for v.
-2/9, 0
Let r be 1/(7/(-4)) - 4876/(-644). Suppose r*b - 48 = -34. Determine d, given that 4/9*d + 32/9*d**b + 4/9*d**5 - 8/9*d**3 - 16/9*d**4 - 16/9 = 0.
-1, 1, 4
Let l(w) = -5*w**4 - 9*w**3 - 10*w**2 - 3*w + 3. Let o(f) = 12*f**4 + 19*f**3 + 21*f**2 + 7*f - 7. Let g(r) = -14*l(r) - 6*o(r). Factor g(y).
-2*y**2*(y - 7)*(y + 1)
Factor -165/4 - 19/2*j - 1/4*j**2.
-(j + 5)*(j + 33)/4
Let b be (-14)/(-3) - (-76)/228. Let q be b - (5 + 0 + (-3)/15). Factor -6/5*s + 9/5 + q*s**2.
(s - 3)**2/5
Let q(u) = -u**2 + 1864*u - 2010. Let s(v) = 3*v**2 - 7506*v + 8042. Let d(z) = -22*q(z) - 6*s(z). Factor d(k).
4*(k - 1)*(k + 1008)
Let i be (-13)/7*642716/(-101894). Factor -6 - 2/7*k**3 + i*k - 38/7*k**2.
-2*(k - 1)**2*(k + 21)/7
Let o(c) be the third derivative of -c**8/25200 + c**7/700 - 7*c**6/450 + 133*c**5/30 - 191*c**2. Let w(h) be the third derivative of o(h). Solve w(x) = 0.
2, 7
Let d(r) be the second derivative of 17*r**6/15 + 94*r**5/5 + 185*r**4/2 + 508*r**3/3 + 28*r**2 + 1024*r. Determine t, given that d(t) = 0.
-7, -2, -1/17
What is h in 10*h**4 - 759*h**2 - 5292 - 48*h**4 + 88*h**3 - 10*h**3 + 20*h**4 + 15*h**4 + 3276*h = 0?
6, 7
Let n(q) be the second derivative of q**7/273 - 7*q**6/195 + 3*q**5/26 - q**4/6 + 4*q**3/39 - 904*q. Factor n(k).
2*k*(k - 4)*(k - 1)**3/13
Let x = 3/128968 - -257927/386904. Solve 40/3 - 16/3*s - x*s**2 = 0.
-10, 2
What is m in -506*m**2 - 86*m + 218*m**2 + 289*m**2 + 249 = 0?
3, 83
Suppose 