.
3*(q - 161)*(q + 3)
Suppose 15*g + 1756 - 1816 = 0. Suppose -10 = g*k - 2, 8 = p - 3*k. Factor -12/7 + 92/7*b - 64/7*b**3 - 160/7*b**p.
-4*(b + 3)*(4*b - 1)**2/7
Let c(q) = -q**3 + 10*q**2 + q - 2. Let r(k) = 30*k**3 - 369*k**2 + 579*k - 306. Let d(w) = 12*c(w) + r(w). Let d(v) = 0. Calculate v.
5/6, 2, 11
Let c(i) be the third derivative of 0*i**4 + 0 + 0*i**3 + 1/30*i**6 + 0*i**5 - 9*i**2 + 1/168*i**8 + 0*i + 1/35*i**7. Factor c(q).
2*q**3*(q + 1)*(q + 2)
Suppose -111*m**3 - 443*m**2 - 297*m - 92*m**2 - 9*m**4 + 27*m**4 - 21*m**4 + 130*m**2 = 0. Calculate m.
-33, -3, -1, 0
Let v(s) be the third derivative of -s**6/30 + 10*s**5/3 - 91*s**4/2 + 264*s**3 + 696*s**2. Factor v(u).
-4*(u - 44)*(u - 3)**2
Let a be 183/7 + 2 + 1144 + -1171. Factor 4/7*l**4 - 20/7*l**2 + 0 - 24/7*l + a*l**3.
4*l*(l - 2)*(l + 1)*(l + 3)/7
Let h be 2/9 + 1/(54/(-2334)). Let r = h + 51. Let 4*g**3 - 6 - 12*g - r*g**2 - 2 + 8*g**2 = 0. What is g?
-1, 2
Let c(h) be the second derivative of -5*h**4/12 + 5*h**3 + 675*h**2/2 - 8995*h. Factor c(b).
-5*(b - 15)*(b + 9)
Suppose -12 = -4*j, -5*l + l - 437 = j. Let s be ((-583)/l - 5) + 2/10. Find o, given that 0 - 1/2*o**2 + 1/2*o - s*o**3 + 1/2*o**4 = 0.
-1, 0, 1
Solve -312*u**3 - u**5 + 25*u**4 - 13862*u + 78*u**3 + 12350*u + 972*u**2 = 0 for u.
0, 6, 7
Let k(m) = -m**2 + 14*m - 5. Let y be k(0). Let v be (y - 0/(-2))*(-12)/55. Factor 10/11*r - 2/11*r**2 - v.
-2*(r - 3)*(r - 2)/11
Suppose -4*x - 13*x = -170. Factor 35*v**4 - 15*v**4 - 25*v**3 + x*v + 223*v**2 - 258*v**2.
5*v*(v - 2)*(v + 1)*(4*v - 1)
Let b be 1/(63/(-45))*81/(-15). Determine t, given that 8/7*t**3 + b + 0*t - 18/7*t**2 - 1/7*t**4 = 0.
-1, 3
Determine z so that 0 - 3/7*z**5 + 0*z - 165/7*z**4 - 7488/7*z**2 - 2064/7*z**3 = 0.
-39, -8, 0
Let 4729*d - 1480*d + 186*d**3 - 159*d**3 - 513*d**2 - 6859 = 0. What is d?
19/3
Let o(c) be the first derivative of c**5/5 + 32*c**4 - 130*c**3 + 196*c**2 - 131*c + 1213. Let o(h) = 0. What is h?
-131, 1
Let g(w) be the second derivative of -13*w**10/7560 - w**9/7560 + 25*w**4/3 - 22*w. Let t(h) be the third derivative of g(h). Find f such that t(f) = 0.
-1/26, 0
Let h = 1/673788 - -1347571/3368940. Factor -h*m**4 - 2*m**3 - 16/5*m**2 + 0 - 8/5*m.
-2*m*(m + 1)*(m + 2)**2/5
Let p(n) be the first derivative of -636/11*n**2 + 3 + 2668/33*n**3 + 383/22*n**4 - 27/11*n**6 + 144/11*n - 576/55*n**5. Let p(v) = 0. What is v?
-3, 2/9, 2
Suppose 3*j - 125 = 13. Suppose -3*g = -2*z - j, 0 = 2*g - 0*z - 4*z - 20. Suppose 80 - 32*h + 5*h**2 + g*h - 26*h = 0. Calculate h.
4
Factor 0 - 4/3*z**2 - 4/3*z.
-4*z*(z + 1)/3
Let x be 0/133 - (-1)/4. Factor 2 - 1/2*m - x*m**2.
-(m - 2)*(m + 4)/4
Suppose -53*s + 30*s + 253 = 0. Suppose 13 = m + s. Suppose -2*l - 2/5*l**m + 0 = 0. Calculate l.
-5, 0
Let t be (950/450 - 1/9)/((-171)/(-72)). Let t*c**2 - 12/19*c + 12/19*c**3 - 2/19*c**4 - 14/19 = 0. Calculate c.
-1, 1, 7
Let r = 1787/5010 - 54/167. Let t(g) be the second derivative of 0*g**2 - 7/12*g**4 + 1/4*g**5 + 1/2*g**3 + 0 - 9*g - r*g**6. What is b in t(b) = 0?
0, 1, 3
Let w be (54/(-15))/(3*4/(-180)). Factor -932 + 303 + w*b + 272 + 304 - b**2.
-(b - 53)*(b - 1)
Factor -12*w**2 - 121/3 + 44*w.
-(6*w - 11)**2/3
Solve -294*r**3 + 4*r**5 - 216*r**2 + 448*r + 216*r**4 - 165*r**3 + 7*r**3 = 0 for r.
-56, -1, 0, 1, 2
Let z be (1130/(-1356))/((-30)/32). Factor -2/9 + 8/9*g**3 + z*g - 2/9*g**4 - 4/3*g**2.
-2*(g - 1)**4/9
Let j(s) be the third derivative of 0*s + 0 + 1/4*s**4 - 1/20*s**5 - 30*s**2 - 3/40*s**6 + 0*s**3 + 1/112*s**8 + 1/70*s**7. Solve j(v) = 0.
-2, -1, 0, 1
Solve 436*v**5 + 1332*v**3 + 41904*v - 107*v**2 - 41896*v - 1316*v**4 - 353*v**2 = 0 for v.
0, 2/109, 1
Let p(w) = w + 2. Let z be p(3). Let -394*q + 8405 + 163*q - 179*q + z*q**2 = 0. Calculate q.
41
Let n(l) = -l**3 - 6*l**2 - 5*l + 2. Let h be n(-5). Let i be (-69)/(-115) - -1*60/75. Determine t so that i*t + 8/5 - 1/5*t**h = 0.
-1, 8
Let n be (-9)/36*0/(-263). Suppose n + 2/7*k**2 + 6/7*k = 0. What is k?
-3, 0
Let p = 21 - 7. Suppose -2*n = 5*n - p. Solve -34*d + 12*d + 5*d**n - 10 + 17*d = 0 for d.
-1, 2
Let t(n) = 2*n**2 - 31*n + 86. Let w be t(12). Let f = 141/836 + 1/76. Find b such that -12/11*b - f*b**w + 0 = 0.
-6, 0
Let m(k) be the first derivative of -8*k**3/9 + 1397*k**2/3 - 698*k/3 + 749. Factor m(g).
-2*(g - 349)*(4*g - 1)/3
Let b(d) be the second derivative of 1/22*d**2 + 4*d - 3 + 1/132*d**4 + 1/33*d**3. Suppose b(s) = 0. What is s?
-1
Let p(b) be the third derivative of 19*b**2 + 3/40*b**5 + 1/2*b**4 - 2*b - 1/120*b**6 + 43/6*b**3 + 0. Let o(h) be the first derivative of p(h). Factor o(w).
-3*(w - 4)*(w + 1)
Let r(g) be the third derivative of -g**7/6 + 257*g**6/24 - 141*g**5/4 + 515*g**4/24 + 175*g**3/3 - 25*g**2 + 14. Let r(o) = 0. Calculate o.
-2/7, 1, 35
Let x(u) be the second derivative of -u**6/15 + 37*u**5/10 - 131*u**4/2 + 935*u**3/3 - 578*u**2 + 104*u - 7. Factor x(m).
-2*(m - 17)**2*(m - 2)*(m - 1)
Let r(h) be the third derivative of h**6/30 + 42*h**5/5 + 244*h**4/3 + 1138*h**2. Factor r(s).
4*s*(s + 4)*(s + 122)
Suppose 31*u - 149 - 6 = 0. Let i(v) = -40*v**2 + 162*v - 66. Let f(g) = -82*g**2 + 325*g - 133. Let n(j) = u*i(j) - 2*f(j). Find l, given that n(l) = 0.
4/9, 4
Let i(r) be the second derivative of 2*r**7/21 + 254*r**6/15 + 75*r**5 + 373*r**4/3 + 248*r**3/3 - 75*r + 8. Suppose i(h) = 0. What is h?
-124, -1, 0
Let p(s) be the second derivative of 0 + 9*s**2 + 1/30*s**5 - 1/3*s**4 - 1/720*s**6 + 16/9*s**3 + 2*s. Let a(c) be the first derivative of p(c). Factor a(y).
-(y - 4)**3/6
Let p be 45*1/6 + 3/(-2). Solve -21 - p*h**2 + 21 + h**3 - 3*h**3 = 0.
-3, 0
Let u = 2684857/397756 - 1/99439. Suppose 3/2 - 21/4*z - u*z**2 = 0. Calculate z.
-1, 2/9
Let a = -280547/2 + 140276. Factor -75/2 - 20*h - a*h**2.
-5*(h + 3)*(h + 5)/2
Let g be (2 + 1)*(-7)/(-21) - -3. Suppose -2*p = 4*i - g, i - 4*i + 5*p = 10. Factor -6*d + 10*d**2 + d + i*d**4 - 14*d**4 + 4*d**4 + 5*d**5.
5*d*(d - 1)**3*(d + 1)
Let g(n) be the second derivative of -2*n**7/21 + 8*n**6/15 + 6*n**5/5 - 4*n**4/3 - 10*n**3/3 + 17*n - 9. Determine o so that g(o) = 0.
-1, 0, 1, 5
Let t(j) be the third derivative of j**6/48 + 13*j**5/4 + 125*j**4/4 + 370*j**3/3 - 6*j**2 + 213*j - 2. Factor t(b).
5*(b + 2)**2*(b + 74)/2
Let k(t) be the first derivative of -13689*t**5/20 - 117*t**4/4 - t**3/3 + 7682. Suppose k(j) = 0. Calculate j.
-2/117, 0
Let v = 275 - -448. Suppose -2*p - v + 727 = 0. Factor -2*d**p + 0 - 4/3*d**3 + 2/3*d**4 + 0*d.
2*d**2*(d - 3)*(d + 1)/3
Suppose -3*z + 5*z + 3*z = 0. Determine t, given that -25*t**4 - 19*t**3 + 4*t**3 + 22*t**3 - 20*t**2 - 5*t**5 + z*t**5 - 47*t**3 = 0.
-2, -1, 0
Factor 4*a**4 - 652*a - 305*a**3 + 135 + 77*a**3 + 87 + 37 + 660*a**2 - 43.
4*(a - 54)*(a - 1)**3
Factor -5*d**4 + 250*d**2 - 20*d**2 + 149*d - 680 - 66*d - 63*d + 280*d**2 + 155*d**3.
-5*(d - 34)*(d - 1)*(d + 2)**2
Let x be (40/(-30))/(-11*(-30)/(-495)). Solve 14/13*j + 12/13 - 4/13*j**3 - 2/13*j**x = 0 for j.
-3/2, -1, 2
Let h(r) be the second derivative of r**6/5 + r**5/10 - 5*r**4/2 - 7*r**3 - 8*r**2 + 2*r - 59. Factor h(t).
2*(t + 1)**3*(3*t - 8)
Let h = 8275 + -8272. Let t(v) be the second derivative of 0*v**3 - 1/18*v**4 - 1/30*v**5 + h*v + 0 + 0*v**2. Factor t(g).
-2*g**2*(g + 1)/3
Let z(k) be the third derivative of -k**6/30 - 179*k**5/15 - 2773*k**2. Factor z(o).
-4*o**2*(o + 179)
Let g = -102 - 232. Let c = g + 336. Suppose 4/3*s**3 + 2/3 - 4/3*s + 0*s**c - 2/3*s**4 = 0. Calculate s.
-1, 1
Factor 459*i - 1/3*i**3 + 2187 + 21*i**2.
-(i - 81)*(i + 9)**2/3
Suppose -6*d + 8*d + 8 = 0. Let c(n) = -2*n**2 + 42*n - 4. Let q(w) = 3*w**2 - 38*w + 5. Let p(h) = d*q(h) - 5*c(h). Factor p(y).
-2*y*(y + 29)
Let j(w) be the third derivative of w**6/360 + 17*w**5/180 + 95*w**4/72 + 175*w**3/18 + 13*w**2 + 7*w. Factor j(z).
(z + 5)**2*(z + 7)/3
Let q be 2/(-8) - 9/(-4). Let z = 14/12123 + 40396/12123. Determine c so that 4/3 + z*c**3 + 14/3*c - 28/3*c**q = 0.
-1/5, 1, 2
Let r(n) be the third derivative of n**8/3360 - n**7/1260 - n**6/36 - 2*n**5/15 - 53*n**4/12 - 197*n**2. Let b(j) be the second derivative of r(j). Factor b(o).
2*(o - 4)*(o + 1)*(o + 2)
Let m = -5560 + 5563. Let z(j) be the first derivative of m*j - 4*j**3 - 14 + 9/2*j**2. Solve z(w) = 0.
-1/4, 1
Let y(v) = 13*v**3 + 3214*v**2 + 16*v - 128. Let