v. Find u such that -81*u**2 - 12*u + 228 - 90*u**2 - 87*u**4 + q*u**3 + 84*u**4 - 13*u**3 - u**3 = 0.
-1, 2, 19
Determine o, given that -6*o**5 + 58*o**4 + 0 - 488/3*o**2 - 176/3*o**3 - 64*o = 0.
-2/3, 0, 3, 8
Suppose 0 = 2*c + c + 4*n - 17026, 4*c + 2*n = 22718. Suppose -8 + 2838*u - c*u + 2840*u + u**2 + 3 = 0. What is u?
-1, 5
Let n(w) = -6207*w + 117935. Let l be n(19). Factor 361/3 + 38/3*p + 1/3*p**l.
(p + 19)**2/3
Let v = 561 + -557. Suppose -63*u**5 - 2*u**3 + 14*u**3 - 76*u**2 + 13*u**v + 59*u**5 + 15*u**4 - 56*u = 0. Calculate u.
-1, 0, 2, 7
Let v be (6/(-4) + 3080/1936)/((-16)/(-44)). Factor -1/4*u**2 - v + 1/2*u.
-(u - 1)**2/4
Let f(p) be the second derivative of p**7/105 - p**6/36 + p**5/90 + p**4/36 - 139*p**2/2 - 2*p - 28. Let g(t) be the first derivative of f(t). Factor g(r).
2*r*(r - 1)**2*(3*r + 1)/3
Factor -1/6*s**2 - 139/6*s - 154.
-(s + 7)*(s + 132)/6
Let k = -31055 - -31059. Determine o so that 4/5*o**3 - 2/5 - 8/5*o + 4/5*o**5 - 8/5*o**2 + 2*o**k = 0.
-1, -1/2, 1
Let g be (1749686/435)/(-97) + 42. Factor -2/15*i**2 + 8/15 + 2/15*i**3 - g*i.
2*(i - 2)*(i - 1)*(i + 2)/15
Let c be (-27 - 4352/(-160))*2. Factor c*r**3 + 22/5*r + 0 + 24/5*r**2.
2*r*(r + 1)*(r + 11)/5
Let t = 979 - -171. Let p be ((-8)/3)/(t/(-345)). Factor 1/5*s**3 + 0*s + p - 3/5*s**2.
(s - 2)**2*(s + 1)/5
Let j(q) = -21*q + 2. Let s be j(0). Suppose -6 - 4 = -3*v - 5*n, -s*v - 5*n + 10 = 0. Solve 0*y + 30/11*y**5 - 62/11*y**4 - 8/11*y**2 + 40/11*y**3 + v = 0.
0, 2/5, 2/3, 1
Let c be 4/26 + 3*(-24581)/(-39). Let n = -1889 + c. Find y such that -4/7*y**n + 4/7 + 0*y = 0.
-1, 1
Suppose 0 = 2*c + z - 439, z + 3*z = 12. Factor -6*g**5 - 82*g**2 + 28*g**4 + 12*g - c*g**2 + 2*g**5 + 20*g**3 - 12*g.
-4*g**2*(g - 5)**2*(g + 3)
Let v(j) be the second derivative of -13*j**5/420 - j**4/14 + j**3/42 - 41*j**2 + 68*j. Let c(o) be the first derivative of v(o). Factor c(i).
-(i + 1)*(13*i - 1)/7
Let n(o) be the first derivative of -11/9*o**3 - 10*o**2 + 1/2*o**4 + 100/3*o + 1/15*o**5 - 24. Determine r so that n(r) = 0.
-5, 2
Let a = -239162 + 239164. Factor -17/5*y + 0 + 1/5*y**a.
y*(y - 17)/5
Suppose -5*f = -226 + 211. Let c(v) be the first derivative of 0*v**4 + 1/12*v**6 + 7 + 0*v**f - 1/10*v**5 + 0*v + 0*v**2. Let c(n) = 0. What is n?
0, 1
Let a = 227 + -149. Let u be 6/a*78/12. Factor -u + 19/10*q + 2/5*q**2.
(q + 5)*(4*q - 1)/10
Let p(g) = -12*g**2 - 3*g + 40 + g - 5*g + 4*g**2. Let j(u) = -23*u**2 - 22*u + 120. Let h(a) = -3*j(a) + 8*p(a). What is q in h(q) = 0?
-4, 2
Let h = 552 - 307. Let t = -734/3 + h. Factor t*p + 1/3*p**2 - 2/3.
(p - 1)*(p + 2)/3
Let l(f) be the first derivative of -2/15*f**3 + 0*f - 33/5*f**2 + 159. What is w in l(w) = 0?
-33, 0
Suppose 85 = 17*r + 34. Suppose r*h + 6 = -3*c - 3, -5*h = 4*c + 15. Solve 3*k**4 + c + 2/3*k - 7/3*k**5 + 5/3*k**3 - 3*k**2 = 0 for k.
-1, 0, 2/7, 1
Let g(u) be the first derivative of -324*u + 35 - 1/3*u**3 - 18*u**2. Factor g(d).
-(d + 18)**2
Let b be ((-8)/6 - 286/(-390))/((-1)/10). Let g(n) be the second derivative of 8*n**2 + b*n**3 + 2*n**4 + 1/5*n**5 - 18*n + 0. Factor g(j).
4*(j + 1)**2*(j + 4)
Let 18*i - 3/7*i**3 - 117/7*i**2 + 240/7 = 0. What is i?
-40, -1, 2
Let h(m) = 19*m - 74. Let z be h(4). Let k(d) = -5*d**3 - 7*d**2 - 21*d + 81. Let w(i) = -i**3 - 2*i**2 - 5*i + 20. Let v(l) = z*k(l) - 9*w(l). Factor v(a).
-(a - 3)**2*(a + 2)
Suppose -4107 + 221/3*h**2 + 4033*h + 1/3*h**3 = 0. Calculate h.
-111, 1
Suppose -85*x = -86*x + 330. Let m be 935/x - (-1)/(-3). Suppose 5/4*f + 0*f**4 + 0 + 0*f**2 - m*f**3 + 5/4*f**5 = 0. What is f?
-1, 0, 1
Suppose 178*m + 5 = 173*m + 5*x, 3*x - 21 = -3*m. Determine i so that 5/3 - 25/3*i**m + 25/3*i - 5/3*i**2 = 0.
-1, -1/5, 1
Let n = 13847 + -13843. Let s(l) be the third derivative of 1/30*l**5 + 0 - 1/60*l**6 + 0*l**3 + 0*l + 10*l**2 + 1/6*l**n. Let s(u) = 0. Calculate u.
-1, 0, 2
Let 186/7*u**3 + 0 - 298/7*u**2 + 136/7*u - 22/7*u**4 - 2/7*u**5 = 0. Calculate u.
-17, 0, 1, 4
Let r(m) be the second derivative of m**5/90 + 4*m**4/27 - 20*m**3/27 - 132*m. Solve r(c) = 0 for c.
-10, 0, 2
Suppose -5*h + 7*i + 364 = 0, -13*h - 4*i = -14*h + 78. Suppose 87*y - 85 = h*y. Find b, given that 0*b**4 - 2/7*b**y + 10/7*b**3 + 0 + 0*b**2 - 8/7*b = 0.
-2, -1, 0, 1, 2
Let d(o) be the second derivative of o**7/14 + 3*o**6/10 - 3*o**5/4 - 3*o**4/4 + 2*o**3 - 64*o + 2. Suppose d(w) = 0. What is w?
-4, -1, 0, 1
Let p(v) be the second derivative of -v**5/10 + 11*v**4/6 + 295*v**3/12 + 100*v**2 - 519*v. Factor p(f).
-(f - 16)*(2*f + 5)**2/2
Let s(u) = -90*u**3 + u + 1. Let x be 2 + 45/(-10)*(-2)/(-3). Let t be s(x). Solve -5*d**2 + t*d + 112 - 421 - 96 = 0.
9
Let v(k) be the third derivative of 0 - 94*k - 13/12*k**4 - 2*k**2 - 9/2*k**3 + 1/60*k**5. Factor v(b).
(b - 27)*(b + 1)
Let v be -19*803/(-88)*4. Let g = 696 - v. Factor -55/2*h + g*h**5 - 15*h**3 - 5/2*h**4 + 35*h**2 + 15/2.
5*(h - 1)**4*(h + 3)/2
Let l(d) = 7*d + 33. Let b be l(6). Let w = b + -31. Factor 47*i - w*i - 147*i + 324*i**2 + 16.
4*(9*i - 2)**2
Let d(r) be the second derivative of -7*r**5/12 - 3260*r**4/3 - 3641885*r**3/6 + 1562405*r**2/3 - 2*r - 1414. Let d(x) = 0. Calculate x.
-559, 2/7
Factor -845*s - 3384 - 1357*s - 4*s**2 + 252*s - 1438*s.
-4*(s + 1)*(s + 846)
Let g(z) be the second derivative of -z**5/80 - 1175*z**4/16 - 129507*z**3 - 776161*z**2/2 - 8592*z. Factor g(h).
-(h + 1)*(h + 1762)**2/4
Suppose -4*r + v = -3, -2*v = 5*r + v + 9. Let l be (-2232)/(-1632) - (-5 + 100/16). Suppose -2/17*t - l*t**2 + r = 0. Calculate t.
-1, 0
Let 25*t**2 + 15*t**2 - 35*t**4 - 36*t**2 + 15*t**3 + 14*t**2 + 38*t**4 = 0. What is t?
-3, -2, 0
Let r(w) = -w**2 + 1. Let k be r(5). Let v = -22 - k. Factor -u - u - 2*u**v - 8*u + 7*u**2.
5*u*(u - 2)
Let f(p) be the second derivative of -p**6/540 + p**5/270 + 2*p**4/27 - 4*p**3/9 - 147*p**2/2 - 32*p + 2. Let l(m) be the first derivative of f(m). Factor l(i).
-2*(i - 2)**2*(i + 3)/9
Let t(v) be the third derivative of -1/12*v**6 + 4/105*v**7 + 0*v**4 + 2 - 2*v**2 + 0*v + 1/15*v**5 + 0*v**3 - 1/168*v**8. Factor t(a).
-2*a**2*(a - 2)*(a - 1)**2
Let f(l) = 4*l**2 - 160*l - 160. Let n be f(-1). Let s(p) be the first derivative of 2/17*p**3 + 1/34*p**n - 15 + 2/17*p**2 + 0*p. Determine t so that s(t) = 0.
-2, -1, 0
Let k be ((-1400)/(-320)*6/105)/(2 + 157/(-80)). Factor 6*r + k - 2/3*r**2.
-2*(r - 10)*(r + 1)/3
Let r(v) be the first derivative of -9/5*v**5 + 0*v + 21/5*v**4 + 0*v**2 + 75 + 4/5*v**3. Factor r(s).
-3*s**2*(s - 2)*(15*s + 2)/5
Let k(u) be the first derivative of -52*u**3/15 + 8*u**2 + 48*u/5 + 729. Find q such that k(q) = 0.
-6/13, 2
Let p be (2/(-31))/(95 + (-35346)/372). Factor -25/4*c**2 - 1 - 1/4*c**5 - 4*c - 19/4*c**3 - 7/4*c**p.
-(c + 1)**3*(c + 2)**2/4
Suppose -3*x + 26 = -5*b, -2*b = 2*x + b + 8. Let j = -7775 + 7783. Factor -h**2 - 8*h + x*h**2 + 0*h**4 + j*h**3 + 3*h**2 - 4*h**4.
-4*h*(h - 2)*(h - 1)*(h + 1)
Solve -2/11*s**2 + 32/11*s - 30/11 = 0.
1, 15
Suppose -5*b - 811 = 5*r + 4824, -4*b + 3388 = -3*r. Let g be (0 - 3/(-9))/((-4)/r). Factor -3*i**2 + i**3 + i**2 - 94 + g.
i**2*(i - 2)
Determine x so that -8/11*x - 20/11*x**2 + 2/11*x**3 + 48/11 + 2/11*x**4 = 0.
-3, -2, 2
Suppose -10*x - 75 = -25*x. Let n(c) be the first derivative of 0*c + 0*c**4 + 0*c**2 + 2/5*c**x + 0*c**3 + 15. Factor n(z).
2*z**4
Let q(s) = 8*s**3 - 131*s**2 + 304*s + 463. Let d(l) = -12*l**3 + 196*l**2 - 456*l - 696. Let y(u) = -5*d(u) - 8*q(u). Find n such that y(n) = 0.
-1, 4, 14
Let k be (434/(-35))/(2/(-81)). Let h = k - 501. Solve -h*r**3 + 2/5*r**2 + 2/5*r**5 + 4/5*r - 2/5*r**4 + 0 = 0 for r.
-1, 0, 1, 2
Let n = 1719 - 6867/4. Let g(v) be the first derivative of 9*v**3 - 16 - n*v**4 - 12/5*v**5 - 3*v**2 + 0*v. Factor g(z).
-3*z*(z - 1)*(z + 2)*(4*z - 1)
Let r = 7270 + -7268. Let c(w) be the first derivative of -13 + 0*w**r + 5/4*w**4 - 3/5*w**5 - 2/3*w**3 + 0*w. Factor c(u).
-u**2*(u - 1)*(3*u - 2)
Let g(y) = -y**2 + 116*y. Let u(q) = 6*q**2 - 672*q + 1716. Let s(o) = -5*g(o) - u(o). Factor s(k).
-(k - 66)*(k - 26)
Suppose 60 = -17*u + 94. Factor -454 - 125*t + 87 + 44*t**2 - 209 - u*t**3 - 67*t.
-2*(t - 12)**2*(t + 2)
Let o(s) be the first derivative of -51*s**4/4 - 155*s**3/3 - 3*s**2 - 6620. What is p in o(p) = 0?
-3, -2/51, 0
Factor -649*b**3 - 133*b**3 - 375*b**3 - 6*b + 85*b**3 -