*x**2 - 61*x + 31. Let i(r) = 16*f(r) + 5*o(r). Solve i(v) = 0.
-3, 1, 6
Suppose -q = -3*z - 70, -2*q + 5*z - 250 = -7*q. Factor -q*l - 50*l**2 - 16 + 1 + 1 + 9.
-5*(l + 1)*(10*l + 1)
Suppose 3*m - 63 + 86 = 4*r, 0 = 2*r + m - 9. Suppose -4*x = 3*u + x - 6, 3*x + 10 = r*u. Solve 2/17*y**3 - 2/17*y + 0*y**u + 0 = 0.
-1, 0, 1
Let r = 118585 + -118583. Let 0*g - 5/9*g**4 - 1/9*g**5 - 2/9*g**3 + 0 + 8/9*g**r = 0. Calculate g.
-4, -2, 0, 1
Suppose 17*g - 87*g + 98 = -21*g. Let m be (-128)/(-10) - (-4 - -6). Factor 63/5*c - m + 3/5*c**3 - 24/5*c**g.
3*(c - 3)**2*(c - 2)/5
Suppose -213*n = -199*n. Let p(d) = d**2 + 9*d + 11. Let o be p(-8). Factor 0 - 2/9*f**5 + 0*f + n*f**2 + 2/3*f**4 - 4/9*f**o.
-2*f**3*(f - 2)*(f - 1)/9
Let o be (12/(-8))/((-6)/76). Suppose z + 4 = 2*j, o*j = 18*j - z + 5. Factor 1/5*k**j + 1/5*k**2 - 1/10 - 1/10*k**4 - 1/10*k - 1/10*k**5.
-(k - 1)**2*(k + 1)**3/10
Let v = 24 + -22. Suppose -v*f + 7 = -1. Factor -f*d - 4*d**3 - 4*d**2 + 2*d**3 + 10*d**2.
-2*d*(d - 2)*(d - 1)
Let l(z) = z**2 + z - 1. Let a(x) = -x**3 + x**2 + 7*x - 5. Let j be a(3). Let f(s) = s**2 - 19*s + 20. Let q(b) = j*l(b) + f(b). Factor q(c).
-(c - 1)*(c + 22)
Let l(t) be the second derivative of t**8/504 + 2*t**7/315 - t**5/45 - t**4/36 - 15*t**2/2 + 10*t + 3. Let k(i) be the first derivative of l(i). Factor k(n).
2*n*(n - 1)*(n + 1)**3/3
Factor -73/4*v**4 + 0*v**2 + 0*v - 1/4*v**5 + 0 + 0*v**3.
-v**4*(v + 73)/4
Let n = 501452/3 + -167070. Determine i, given that 44/3*i - 2/3*i**2 - n = 0.
11
Let f be 81/297*-33 - (-110)/12. Find c, given that 2/3 - f*c**3 + 2/3*c - 1/6*c**2 = 0.
-2, -1, 2
Let m(y) be the first derivative of -y**6/21 + 12*y**5/35 + 5*y**4/2 - 88*y**3/7 - 160*y**2/7 - 1281. What is a in m(a) = 0?
-5, -1, 0, 4, 8
Let s(q) be the third derivative of q**5/60 - 23*q**4/12 - 100*q**3/3 - 577*q**2. Factor s(i).
(i - 50)*(i + 4)
Solve 46 + 354*q - 304*q + q**4 - 24*q**2 - 47 - 2*q**3 - 24 = 0 for q.
-5, 1, 5
Let i = 20 - 19. Let u be -3 + (i - (-4 + -18)). Determine f so that u*f**4 - 21*f**2 - 77*f - 9*f**5 + 83*f + 3*f**3 + f**4 = 0.
-1, 0, 1/3, 1, 2
Let r(v) be the second derivative of -v**5/60 + 20*v**4/9 + 82*v**3/9 + 3710*v - 1. Factor r(t).
-t*(t - 82)*(t + 2)/3
Let l(f) be the third derivative of -f**6/360 - 23*f**5/180 - 159*f**2. Factor l(a).
-a**2*(a + 23)/3
Let i(h) be the first derivative of -2*h**5/25 - 21*h**4/10 + 2*h**3/15 + 21*h**2/5 + 3379. Determine l so that i(l) = 0.
-21, -1, 0, 1
Let d = -678876 + 4752220/7. Factor -128/7*v - 128/7 - 12/7*v**3 + d*v**2.
-4*(v - 4)**2*(3*v + 2)/7
Let c(x) be the first derivative of -2*x**5/85 - 31*x**4/17 - 80*x**3/17 + 844. Factor c(f).
-2*f**2*(f + 2)*(f + 60)/17
Let j be (-127)/(-6) + 2/(-12). Let x = -19 + j. Factor -40*a**x - 8 - 14*a - 22*a - 8*a**5 + 16*a**3 + 28*a**5 + 48*a**4.
4*(a - 1)*(a + 1)**3*(5*a + 2)
Let b be 12/102 + 1300/221. Let o = -5 - -8. Factor b*s**3 + s**4 + 6 - s**o - 4 + 9*s**2 + 0*s**4 + 7*s.
(s + 1)**3*(s + 2)
Suppose -116*h + 15 = -111*h. Let u(c) be the second derivative of 0*c**h - 1/120*c**4 + 0 + 1/20*c**2 - 3*c. Let u(a) = 0. Calculate a.
-1, 1
Let k = 10985/66018 + 3/11003. Let v(t) be the second derivative of -2*t**3 + 0 - 10*t + k*t**4 + 5*t**2. Factor v(c).
2*(c - 5)*(c - 1)
Let q(l) = -7. Let w(o) = -20. Let z(k) = 17*q(k) - 6*w(k). Let c(x) = -4*x**2 + 10 - 30 + 271*x - 259*x. Let i(j) = -c(j) - 20*z(j). Factor i(p).
4*p*(p - 3)
Let a be (-5)/6*(-6)/3*258/215. Let v(y) be the second derivative of 1/24*y**4 + 14*y + 1/6*y**3 + 1/4*y**a + 0. Let v(o) = 0. Calculate o.
-1
Let k be (0 + -4)*25/60*-3. Let -212*a**3 + 1241*a**5 - 140*a**2 + 1078*a - 637 - 49 - 38*a**4 - 1243*a**k = 0. What is a?
-7, 1
Let n(f) be the third derivative of -2*f**7/105 - 461*f**6/30 - 23562*f**5/5 - 1790558*f**4/3 + 7304528*f**3/3 - 7675*f**2. Factor n(j).
-4*(j - 1)*(j + 154)**3
Let d(m) be the second derivative of -30*m + 1/6*m**4 + 0*m**2 + 0 - 10/3*m**3. Let d(n) = 0. What is n?
0, 10
Let a(u) = -17*u - 2 + 37*u + 3 - 21*u. Let q be a(-1). Factor -q*g**3 + 6*g**2 - 4 + 11*g**3 + 4 + 3*g**4.
3*g**2*(g + 1)*(g + 2)
Let c be 5964/147 - (-4)/(-7). Let -45*h**2 + 1 - 37*h**4 + 19 - c*h + 40*h**3 + 62*h**4 = 0. What is h?
-2, -1, 2/5, 1
Let n(d) be the second derivative of 3*d - 25/84*d**7 - 38/5*d**5 - 35/3*d**4 - 28/3*d**3 - 4*d**2 - 29/12*d**6 + 7. Suppose n(g) = 0. What is g?
-2, -1, -2/5
Suppose -4*v + 14 = -3*j, v - 5*v + 5*j = -18. Let y be 4/(-8)*-2*(-153 + 153). Let y*w - 2/13*w**4 + 0 - 2/13*w**3 + 2/13*w**5 + 2/13*w**v = 0. Calculate w.
-1, 0, 1
Solve -3/2*h**4 + 105/2 - 18*h**3 - 51*h**2 + 18*h = 0 for h.
-7, -5, -1, 1
Let 0 - 260*y**2 - 5/2*y**5 + 0*y - 395*y**3 - 275/2*y**4 = 0. Calculate y.
-52, -2, -1, 0
Find o, given that -1050*o**4 - 957*o**4 + 2006*o**4 - 741*o**2 + 128*o**3 + 1098*o = 0.
0, 3, 122
Let u(b) = 59*b**2 + 6*b - 2. Let v(s) = 44*s**2 + 8*s - 2. Let m(o) = -2*u(o) + 3*v(o). Determine l, given that m(l) = 0.
-1, 1/7
Let w(h) be the third derivative of -1/12*h**5 + 0*h + 2/9*h**4 + 0*h**3 - 1/360*h**6 + 193*h**2 + 0. Factor w(j).
-j*(j - 1)*(j + 16)/3
Let b(t) be the first derivative of t**5/15 - 6*t**3 - 287*t**2/2 - 65. Let x(v) be the second derivative of b(v). Factor x(k).
4*(k - 3)*(k + 3)
Let p + 0 - 1/12*p**2 = 0. Calculate p.
0, 12
Let h(f) = f**4 + 18*f**3 - 2*f**2 - 15*f + 16. Let p(x) = -x**4 - 53*x**3 + 7*x**2 + 45*x - 46. Let j(v) = -8*h(v) - 3*p(v). Factor j(b).
-5*(b - 2)*(b - 1)**2*(b + 1)
Suppose 17*o - 60 = -17*o + 19*o. Let y(m) be the second derivative of 11*m + 2*m**2 + m**3 + 1/6*m**o + 0. Factor y(v).
2*(v + 1)*(v + 2)
Suppose 62 = 1136*w - 1134*w. Factor -18 + 32*x + 4*x**2 + 10 - 10 - 4*x**3 - w + 1.
-4*(x - 2)**2*(x + 3)
Suppose -35 = -5*b - l + 2*l, 0 = 2*b + 5*l + 13. Suppose -m + 2*m + z = b, z = m. Factor 5*r**4 + 16*r**2 + 11*r**4 - 12*r**4 + 20*r**m.
4*r**2*(r + 1)*(r + 4)
Let w(f) be the second derivative of f**6/150 + 27*f**5/100 + 6*f**4/5 + 136*f + 12. Factor w(n).
n**2*(n + 3)*(n + 24)/5
Suppose 3*d - 18*u + 17*u - 26 = 0, 4*u - 36 = -2*d. Let -d - 3*y**2 - 2*y**2 + 0*y**2 - 80*y + 65*y = 0. What is y?
-2, -1
Let x be (7 - (-6435)/(-945))/(24/28). Factor -8/9*d - 2/3*d**2 + 4/9*d**3 + 8/9 + x*d**4.
2*(d - 1)**2*(d + 2)**2/9
Let j(g) be the first derivative of 3*g**4/20 - 146*g**3/5 + 14091*g**2/10 + 142296*g/5 - 3649. What is o in j(o) = 0?
-8, 77
Let p(c) be the second derivative of c**4/4 - 266*c**3 + 106134*c**2 - 159*c - 2. Suppose p(o) = 0. What is o?
266
Let d(s) = -215*s + 47 + 122*s - 36*s**2 + 110*s + 5*s**4. Let z(f) = f**4 + f - 1. Let o(h) = -d(h) + z(h). Let o(k) = 0. Calculate k.
-3, -1, 2
Factor -120/7 - 46/7*q - 2/7*q**2.
-2*(q + 3)*(q + 20)/7
Suppose -v = v - 10. Factor 525*m**5 + 20*m**4 - 50*m**2 + 36 - 520*m**v - 20*m + 5*m**3 + 4.
5*(m - 1)**2*(m + 2)**3
Let p(a) be the first derivative of 1/30*a**6 + 4/3*a**3 - 4 + 7*a**2 + 0*a - 1/6*a**4 - 2/15*a**5. Let j(q) be the second derivative of p(q). Factor j(y).
4*(y - 2)*(y - 1)*(y + 1)
Let o(k) = 3*k**2 + 106*k - 2878. Let m be o(18). Suppose 7/3*b**m + 1/3*b**3 - 1/3*b**4 - 13/3*b + 2 = 0. Calculate b.
-3, 1, 2
Let g = 4 + -2. Suppose -190*c + 185*c + 30 = 0. Factor c + 11*r - r**g - 6*r**2 - 7*r + 5*r**2.
-2*(r - 3)*(r + 1)
Suppose -30*p - 40 = -50*p. Let c = 12 + -6. Factor 22*d - c*d**p - 8*d + 2*d**3 - 10*d.
2*d*(d - 2)*(d - 1)
Let n(z) = -2*z**3 - 331*z**2 - 494*z - 328. Let o be n(-164). Determine i, given that o - 24/17*i**2 + 0*i**3 + 32/17*i + 2/17*i**4 = 0.
-4, 0, 2
Let t**2 - 4*t**2 - 72*t + 6*t**2 - 14 + 424*t**3 + 3*t**4 - 46 - 406*t**3 = 0. What is t?
-5, -2, -1, 2
Let l(c) be the first derivative of 0*c - 31 + 0*c**3 - 3/25*c**5 - 6/5*c**2 + 9/20*c**4. Factor l(p).
-3*p*(p - 2)**2*(p + 1)/5
Factor -2/13*s**3 + 22/13*s**2 + 90/13 - 6*s.
-2*(s - 5)*(s - 3)**2/13
Let y be 14/1680*-8 - 74/(-210). Let s be (1*(-3 - -2))/(-7). Factor y - s*q**2 + 1/7*q.
-(q - 2)*(q + 1)/7
Let m(v) be the third derivative of v**6/72 - v**5/4 + 15*v**4/8 + 5*v**3 - v**2. Let x(o) be the first derivative of m(o). Suppose x(t) = 0. Calculate t.
3
Let i(l) be the first derivative of -1/75*l**6 + 1/25*l**5 + 1/30*l**4 + 8*l + 7 - 2/15*l**3 + 0*l**2. Let d(b) be the first derivative of i(b). Factor d(q).
-2*q*(q - 2)*(q - 1)*(q + 1)/5
Let o be (-21)/((-48)/1