w**5/70 - 3*w**4/14 + 34*w**3/21 - 24*w**2/7 + w + 75. Factor l(v).
-2*(v - 2)*(v - 1)*(v + 12)/7
Suppose 3*q = 3*b - 39, -3462*q - 36 = -3465*q - 2*b. Factor 1/2*y**3 + 24 + 11/2*y**q + 20*y.
(y + 3)*(y + 4)**2/2
Let c(g) = -6*g**4 + 3*g**2 + 3*g - 6. Let i(l) = l**5 + 2*l**4 - l**3 - l**2 - l + 2. Let z(v) = -c(v) - 3*i(v). What is p in z(p) = 0?
-1, 0, 1
Let m be 1/(-3) - (-11)/((-33)/(-49)). Suppose 17*n - 4*z = m*n + 22, -4*z = -5*n + 30. Solve -16/7*y + 8/7 + 10/7*y**n - 2/7*y**3 = 0.
1, 2
Factor 4892*s + 3923*s + 78427*s**3 - 28752*s**3 - 43787*s**2 - 9043*s**2 + 1080*s**4 + 55625*s**3 - 490.
5*(s + 98)*(6*s - 1)**3
Let x(d) be the second derivative of -d**4/84 + 44*d**3/21 - 320*d**2/7 - 4*d + 40. Determine h so that x(h) = 0.
8, 80
Let q(n) be the second derivative of n**6/255 - 24*n**5/85 - 19*n + 33. Determine g, given that q(g) = 0.
0, 48
Let b(i) be the third derivative of -2*i**2 + 22/525*i**7 + 0 + 64/75*i**5 - 12/25*i**6 - 6*i + 0*i**3 + 256/15*i**4 - 1/840*i**8. Factor b(o).
-2*o*(o - 8)**3*(o + 2)/5
Let l = 233 + -229. Let r(i) = 4*i - 23. Let p be r(7). Solve -3*x**4 - 25*x**5 + 52*x**p + x**3 - 28*x**5 - l + 7*x**2 = 0 for x.
-2, -1, 1
Let b(j) = -100*j - 64. Let q(t) be the third derivative of t**5/20 + 13*t**2 + 1. Let p(s) = b(s) - 2*q(s). Find o such that p(o) = 0.
-16, -2/3
Let b(y) = 282 + 269*y**2 - 321*y + 107 - 430*y + 79*y - 25*y**3. Let v(x) = -38*x**3 + 403*x**2 - 1008*x + 583. Let q(l) = -7*b(l) + 5*v(l). Factor q(g).
-3*(g - 4)**2*(5*g - 4)
Suppose -2 = 5*j - 91*f + 90*f, 58 = 5*j + 4*f. Let 6*r**5 - 78/7*r**j + 54/7*r**4 - 114/7*r**3 + 72/7*r + 24/7 = 0. What is r?
-2, -1, -2/7, 1
Let x(r) = 6*r**2 - 14*r + 20. Let q(y) = y**2. Let j = 243 - 242. Let u(l) = j*x(l) - 4*q(l). Solve u(o) = 0.
2, 5
Let y(b) = -17647*b + 90240. Let f be y(4). Factor -51*o**2 + 1734*o + 1/2*o**3 - f.
(o - 34)**3/2
Let k(j) be the first derivative of -j**3/5 - 2277*j**2/5 - 1728243*j/5 - 7488. Factor k(w).
-3*(w + 759)**2/5
Let d(t) = 105*t + 8192. Let q be d(-78). Factor 10/3*i**3 + 0 - 5/3*i**4 + 5/3*i**q - 10/3*i.
-5*i*(i - 2)*(i - 1)*(i + 1)/3
Suppose -5*s - 12 = -s, -q - 10 = 5*s. Solve q*r**2 + 500 + 129*r + 10*r - 39*r = 0 for r.
-10
Suppose -2*u**2 + 1/3*u**3 - 8/3 + 4*u = 0. What is u?
2
Let h = 255060 - 255010. Determine q, given that -5/2*q**2 + h*q + 110 = 0.
-2, 22
Let q(z) be the second derivative of -1/360*z**5 - 8/3*z**3 + 0*z**2 - 14*z + 0*z**4 - 1/1080*z**6 + 0. Let b(w) be the second derivative of q(w). Factor b(o).
-o*(o + 1)/3
Let y(g) be the first derivative of -g**4/4 + g**3/3 + g - 305. Let z = -1 - 0. Let c(k) = 11*k**3 + k**2 - 44*k + 8. Let m(a) = z*c(a) - 4*y(a). Factor m(l).
-(l - 2)*(l + 3)*(7*l - 2)
Let u(b) be the first derivative of -b**4/4 + 5*b**3/3 + 3*b**2/2 - 12. Let c be u(5). Factor -32*z + 3*z**4 - 60*z**2 - c*z**4 + 32*z**3 + 50 + 8*z**4 + 14.
-4*(z - 4)**2*(z - 1)*(z + 1)
Let k(n) be the second derivative of n**6/900 + 3*n**5/100 - n**4/6 + 5*n**3/3 - 9*n. Let y(z) be the second derivative of k(z). Solve y(j) = 0.
-10, 1
Let z be (-18)/(-513)*1121 + 14. Find a such that 0 - 34/3*a**2 + 2/3*a + z*a**3 - 128/3*a**4 = 0.
0, 1/8, 1
What is a in 174*a - 40 + 0*a**2 + 210*a - 444*a - 5*a**2 + 105 = 0?
-13, 1
Solve u**4 - 51*u + 0 + 205/2*u**3 + 101/2*u**2 = 0.
-102, -1, 0, 1/2
Let s = -498576 - -498576. Let i(f) = 5*f**2 - 1. Let l be i(1). Determine w, given that -3/2*w**5 + 0*w**3 + 0*w - 15/2*w**l + 0*w**2 + s = 0.
-5, 0
Let x be 15*((-99)/440)/(-1). Let g(r) be the third derivative of -x*r**4 + 0*r**3 - 9*r**2 + 27/20*r**5 + 0 + 0*r - 9/40*r**6 + 1/70*r**7. Factor g(h).
3*h*(h - 3)**3
Suppose 4/5*k**4 - 10476/5*k - 684*k**2 - 356/5*k**3 - 10584/5 = 0. What is k?
-3, 98
Let t(k) = 4383*k - 482127. Let d be t(110). Solve -224/9*u + 128/9*u**2 + 32/3 - 2/3*u**4 - 8/9*u**d = 0 for u.
-6, 2/3, 2
Determine s, given that -15811 + 7501*s + 132*s**3 + 12155*s - 2794*s**2 - 17874 + 4525 - 2*s**4 = 0.
2, 10, 27
Let b = 3539/2610 + -39/29. Let v(h) be the second derivative of 0*h**2 - 1/54*h**4 + b*h**5 - 17*h - 2/27*h**3 + 0. Factor v(j).
2*j*(j - 2)*(j + 1)/9
Let o(h) be the first derivative of 10*h**3/21 - 17*h**2/14 - 27*h/7 + 6216. Factor o(i).
(i + 1)*(10*i - 27)/7
Let j be ((-3)/(-2))/((135/(-42))/(1080/(-315))). Let -44/5*i + j - 52/5*i**3 + 76/5*i**2 + 12/5*i**4 = 0. What is i?
1/3, 1, 2
Let j be (-1106)/(-9)*108/7938. Let m = -22/27 + j. Factor 0 + 2/7*z + m*z**2.
2*z*(3*z + 1)/7
Suppose 2*d + 5*r = -36, 1194*r - 1192*r = -3*d - 10. Let w(u) be the second derivative of 2/39*u**4 + 0 + 1/13*u**d + 26*u - 4/39*u**3. Factor w(l).
2*(2*l - 1)**2/13
Let q(s) be the first derivative of -7/5*s**2 + 2/3*s**3 + 6/5*s + 112 - 1/10*s**4. Let q(y) = 0. Calculate y.
1, 3
Let g(p) = p**3 + 2*p**2 - 32*p - 13. Let f be g(5). Let w(i) be the first derivative of -3/2*i**2 - 7 - 3/4*i**4 + f*i**3 + 0*i. Solve w(z) = 0.
0, 1
Let b = -358 + 271. Let p = -173/2 - b. Solve -7/2*m + p*m**2 + 3 = 0.
1, 6
Suppose 0 = -z - 2 + 5. Suppose 2*g + 2 = -a - 0, 2*a = -z*g - 2. Factor 3*b**5 - 16*b**3 + 55*b + 73*b**3 + 5*b - 12*b - 12 - 75*b**a - 21*b**4.
3*(b - 2)**2*(b - 1)**3
Let x(f) be the first derivative of f**4/8 + 25*f**3/6 - 17*f**2/4 + 167*f - 201. Let y(s) be the first derivative of x(s). Factor y(z).
(z + 17)*(3*z - 1)/2
Let y be 51/((-41616)/(-448)) - (-6)/51. Determine m, given that y*m - 2/3*m**3 + 4/3*m**2 - 4/3 = 0.
-1, 1, 2
Let l be (-182)/(-49) + (-1 - 18/(-14)). Suppose 2*j - 4*f = l, 0 = -3*j + 15*f - 10*f + 5. Find o, given that 0 + 1/3*o**3 + j*o + 1/6*o**2 + 1/6*o**4 = 0.
-1, 0
Let i(u) be the second derivative of 0 - 7/20*u**4 + 3/100*u**5 + 56*u + 0*u**2 + 3/5*u**3. Factor i(t).
3*t*(t - 6)*(t - 1)/5
Let a(d) = -34*d**3 + 1717*d**2 - 3465*d + 1740. Let x(p) = -25*p**3 + 1145*p**2 - 2310*p + 1160. Let r(s) = 5*a(s) - 7*x(s). Let r(g) = 0. What is g?
-116, 1
Let z = -6321 - -8851. Let j be 4/34 + (-10 - z/(-170)). Find d such that 0 - 1/4*d**3 + 0*d + 0*d**2 - 1/4*d**j - 1/2*d**4 = 0.
-1, 0
Find w such that 3/4*w**3 - 219/4*w - 3/2*w**2 - 105/2 = 0.
-7, -1, 10
Factor -35/2*t**2 + 69/4*t + 0 + 1/4*t**3.
t*(t - 69)*(t - 1)/4
Let q(c) be the first derivative of -c**3/18 - c**2/6 - 576. Factor q(w).
-w*(w + 2)/6
Let u = 13571 - 8477. Factor u*y**2 + 0 + 40 - 5090*y**2 + 30*y + 14*y.
4*(y + 1)*(y + 10)
Let i(u) be the first derivative of -2*u**3/3 - 25*u**2 + 168*u + 1577. Factor i(c).
-2*(c - 3)*(c + 28)
Let z = -40 - 19. Let c = z - -178/3. Factor 0*h + 1/3*h**2 + 0 + c*h**3.
h**2*(h + 1)/3
Let t(g) = -2*g**3 - 5*g - 10. Let a be t(-2). Factor -64*p + 57*p**3 + a*p**2 - 109*p**3 + 51*p**3.
-p*(p - 8)**2
Factor -54/7*x - 135/7 - 3/7*x**2.
-3*(x + 3)*(x + 15)/7
Determine b, given that 243*b**3 - 6*b + 56 - 9*b**2 - 104*b**3 - 99*b**3 - 41*b**3 = 0.
-7, -4, 2
Let p(h) = -h**3 + 17*h**2 + 17*h - 22. Let t be p(18). Let j be t/(-25)*15/6. Factor 4*m**3 - 2*m**5 - 44 - 2*m - 2*m**j + 42 + 0*m + 4*m**2.
-2*(m - 1)**2*(m + 1)**3
Let d(m) be the first derivative of m**5/20 + 7*m**4/16 + 5*m**3/4 + 9*m**2/8 - 1553. Find n such that d(n) = 0.
-3, -1, 0
Suppose k = -p + 9, 4*p + k - 1 = 5*p. Let r be p/((-2)/(-4)*4). Determine z, given that -8*z**4 - 2*z + 317 + r*z**3 + 8*z**2 - 317 = 0.
-1, 0, 1/4, 1
Let x = -1/215716 - 54104269/53929. Let t = x - -1004. Factor -9/8*w**2 - t*w**3 + 9/8*w + 3/4.
-3*(w - 1)*(w + 2)*(2*w + 1)/8
Let j(p) be the second derivative of p**6/45 - 43*p**5/15 - 89*p**4/6 - 4*p**3/9 + 356*p**2/3 + p - 803. Determine k so that j(k) = 0.
-2, 1, 89
Let x(v) be the second derivative of -v**5/16 - 1759*v**4/96 - 4829*v**3/3 + 484*v**2 - 41*v + 6. Factor x(k).
-(k + 88)**2*(10*k - 1)/8
Let v be 10 + 6 + 8*(-423)/216. Determine q, given that -v*q**4 + 1/3*q**2 + 0*q**3 + 0 + 0*q = 0.
-1, 0, 1
Suppose -5320*x - 304 = -2657*x - 2815*x. Find t, given that -4/5*t**5 - 12/5 + 4/5*t**4 + 8/5*t**x + 24/5*t**3 - 4*t = 0.
-1, 1, 3
Let k = 4882103/4 - 1220525. What is a in 3/4*a + 0 + 0*a**2 - k*a**3 = 0?
-1, 0, 1
Let -128/19*r**4 - 2/19*r**5 + 0*r**2 + 0 + 130/19*r**3 + 0*r = 0. Calculate r.
-65, 0, 1
Let z(l) be the first derivative of 65*l**2 + 845*l + 5/3*l**3 - 73. Factor z(r).
5*(r + 13)**2
Let w(f) be the third derivative of f**8/448 + f**7/40 + 13*f**6/160 + f**5/80 - 7*f**4/16 - f**3 + 791*f**2.