*q**3/3 - 8*q**2 - 5*q - 1. Find v, given that j(v) = 0.
-6, 20
Let p = -5467 + 16403/3. Let u(t) be the first derivative of 0*t**4 - p*t**6 + 8/5*t**5 + 2*t**2 - 8/3*t**3 + 0*t - 2. Let u(a) = 0. What is a?
-1, 0, 1
Find t, given that -22*t**2 + 44*t**2 + 19*t**2 - 25*t**2 - 5250987 - 19*t**2 - 7938*t = 0.
-1323
Let p be 2/4 + (-186)/(-12). Suppose 0*y = -4*y + p. Factor -16*b**4 - 3*b**4 - 5*b - 6*b + 2 + 3*b**4 + y*b**3 + 7*b**5 + 14*b**2.
(b - 1)**3*(b + 1)*(7*b - 2)
Let a be (-26)/4 + 5 - (-6)/(-4). Let c be -4 + (3 + -6)/a*12. Suppose 6*h**5 - 8*h**4 + 6*h**3 - 19*h + c*h**2 - 4*h**5 + 11*h = 0. Calculate h.
-1, 0, 1, 2
Let n(a) be the first derivative of -16 + 2/27*a**3 + 22/9*a - 4/3*a**2. Determine t so that n(t) = 0.
1, 11
Determine a, given that -4212*a**3 + 571*a**2 + 1385*a**2 + 794*a**2 - 2755*a + 4217*a**3 = 0.
-551, 0, 1
Let r(i) be the third derivative of -i**5/20 + 62*i**4 - 30752*i**3 - 2126*i**2. Determine d so that r(d) = 0.
248
Let a(z) be the third derivative of -z**7/420 - z**6/5 + 7*z**5/8 + 61*z**4/12 - 25*z**3 + 4*z**2 - 31*z - 4. Suppose a(c) = 0. Calculate c.
-50, -2, 1, 3
Let j(g) = 2*g**2 + 475*g - 923. Let p(s) = 3*s**2 + 792*s - 1536. Let m(w) = -12*j(w) + 7*p(w). Factor m(z).
-3*(z - 2)*(z + 54)
Let t(x) be the second derivative of x**6/60 - 11*x**5/40 + 5*x**4/3 - 4*x**3 - 9523*x + 2. What is d in t(d) = 0?
0, 3, 4
Factor 51/7 - 3/7*v**2 + 48/7*v.
-3*(v - 17)*(v + 1)/7
Let u = 283/6 + -62263/1320. Let o = u - -113/1320. Suppose 1/6*k**3 + 0 + 0*k**2 + o*k**4 + 0*k = 0. Calculate k.
-2, 0
Let v(p) be the second derivative of 47*p + 2/5*p**3 + 9/20*p**4 + 0*p**2 + 0 + 9/50*p**5 + 1/50*p**6. Factor v(x).
3*x*(x + 1)**2*(x + 4)/5
Let n(a) = -45*a**3 + 14*a**2 + 15*a - 24. Let f(i) = -112*i**3 + 29*i**2 + 30*i - 47. Let z(q) = 4*f(q) - 10*n(q). Factor z(r).
2*(r - 13)*(r - 1)*(r + 2)
Suppose 197*t = -109*t - 77*t. Solve t + 16/7*v**2 + 8/7*v + 6/7*v**3 - 4/7*v**4 - 2/7*v**5 = 0 for v.
-2, -1, 0, 2
Find r, given that 3*r**2 - 2306*r - r**2 + 1260*r = 0.
0, 523
What is h in -188145*h + 554445 + 1115*h**2 - 5/3*h**3 = 0?
3, 333
Let 610*v + 10*v**2 + 374*v - 11*v**2 - 261*v + 724 = 0. What is v?
-1, 724
Let p = -50 - -84. Let c = p + -32. Determine v, given that -20*v**2 - v**2 + c*v**3 - 64 - 96*v - 6*v**3 - 15*v**2 = 0.
-4, -1
Let i(b) be the first derivative of b**7/30 - 13*b**6/45 - 43*b**5/30 - 5*b**4/3 - 5*b**3/3 + 57. Let f(x) be the third derivative of i(x). Factor f(g).
4*(g - 5)*(g + 1)*(7*g + 2)
Factor -10/3*p**4 - 16*p**2 - 46/3*p**3 + 0 + 1/6*p**5 + 0*p.
p**2*(p - 24)*(p + 2)**2/6
Let u = 44 + -41. Suppose p - 2*p + 20 = -5*o, u*o + 19 = 2*p. Let 73*w**2 - 82*w**2 + 6*w - 2*w**3 + p*w**3 = 0. What is w?
0, 1, 2
Let -611*u**2 + 34*u**3 - 1/2*u**4 - 1089/2 + 1122*u = 0. What is u?
1, 33
Solve -32*r**3 + 0 - 4/3*r**4 + 0*r - 192*r**2 = 0.
-12, 0
Suppose 43/2*a**2 - 1625/2*a + 11661/2 + 1/2*a**3 = 0. What is a?
-69, 13
Let r(j) be the first derivative of -3/2*j**2 + 3*j + 5/4*j**3 + 1 - 1/2*j**4 + 3/40*j**5. Let q(f) be the first derivative of r(f). Factor q(n).
3*(n - 2)*(n - 1)**2/2
Let m(y) = y + 3. Let b(r) = -r**3 - 34*r**2 - 33*r + 180. Let s(n) = -b(n) - 6*m(n). Factor s(o).
(o - 2)*(o + 3)*(o + 33)
Let d(n) = 6*n**3 + n. Let f be d(1). Suppose s + 5 = 4*q, -2*q + 25 - 33 = -4*s. Factor l**2 + 4*l - f*l**2 + 0*l**q + 2*l**2.
-4*l*(l - 1)
Let x = -18/1163 + 3687/12793. Let w(q) be the first derivative of 1/22*q**4 + x*q**2 - 2/11*q - 2/11*q**3 + 10. Find n, given that w(n) = 0.
1
Let o(b) be the first derivative of b**4/12 + b**3/2 - 49*b + 88. Let i(m) be the first derivative of o(m). Let i(c) = 0. Calculate c.
-3, 0
Let i(s) be the first derivative of -4*s**5/5 - 3*s**4 + 28*s**3/3 + 30*s**2 - 72*s - 9306. Solve i(w) = 0.
-3, 1, 2
Let r(c) = -6*c**4 - 144*c**3 + 471*c**2 - 315*c + 6. Let u(z) = 35*z**4 + 866*z**3 - 2826*z**2 + 1891*z - 34. Let y(p) = -17*r(p) - 3*u(p). Factor y(g).
-3*g*(g - 2)*(g - 1)*(g + 53)
Let f(o) be the second derivative of 49*o**6/120 - 7*o**5/15 + o**4/6 + 25*o**2/2 - 149*o. Let t(z) be the first derivative of f(z). Factor t(g).
g*(7*g - 2)**2
Let u(k) be the third derivative of -27*k**6/40 - 28*k**5/5 - 31*k**4/2 - 8*k**3 + 127*k**2 + 25*k. Solve u(l) = 0 for l.
-2, -4/27
Let y(m) = -m**2 + m + 1. Let k(g) = 4*g**4 - 5*g**3 + 8*g**2 - 7*g - 7. Suppose 4*u + j = -0*u - 81, -48 = 2*u - 2*j. Let o(z) = u*y(z) - 3*k(z). Factor o(s).
-3*s**2*(s - 1)*(4*s - 1)
Let c(w) = 46*w**2 - 11826*w + 8714310. Let u(d) = -131*d**2 + 35475*d - 26142929. Let t(m) = -17*c(m) - 6*u(m). Factor t(i).
4*(i - 1476)**2
Let d(b) be the first derivative of 4*b**3/3 - 1576*b**2 - 2427. Factor d(j).
4*j*(j - 788)
Let x(j) = 11*j**2 - 217*j - 577. Let s(z) = -90*z**2 + 1715*z + 4615. Let y(d) = -3*s(d) - 25*x(d). Factor y(w).
-5*(w - 58)*(w + 2)
Suppose -35 = 3*x + 5*w, -2*x = -2*w + 25 + 25. Let p be 4/12*2*(-15)/x. Factor 0*n + p*n**5 + n**2 + 0*n**4 - 3/2*n**3 + 0.
n**2*(n - 1)**2*(n + 2)/2
Let h(b) be the third derivative of -13*b**8/1512 + 23*b**7/315 - 37*b**6/180 + 67*b**5/270 - b**4/9 - 3*b**2 + 181*b + 7. Determine j, given that h(j) = 0.
0, 4/13, 1, 3
Let w(q) = -395*q**3 + 6455*q**2 + 14450*q. Let z(i) = i**4 - 1180*i**3 + 19366*i**2 + 43348*i. Let h(a) = 14*w(a) - 5*z(a). Solve h(o) = 0.
-2, 0, 38
What is t in 2/11*t**2 + 5660/11*t + 4004450/11 = 0?
-1415
Let b(s) = -s**2 - 76*s - 200. Let i be b(-73). Let j(m) be the first derivative of -1/2*m**2 + 0*m + i + 1/9*m**3. Factor j(u).
u*(u - 3)/3
Let l(q) = q**3 - 7*q + 5. Let z be l(2). Let i be 290/15 + z/3. Let -6*w + 7*w + i*w + 75*w**2 - 20*w**3 = 0. What is w?
-1/4, 0, 4
Suppose 26*o + 7/2*o**3 + 17*o**2 + 12 = 0. Calculate o.
-2, -6/7
Factor -2/7*i**3 + 10/7*i**2 - 10/7 + 2/7*i.
-2*(i - 5)*(i - 1)*(i + 1)/7
Let v(x) be the third derivative of 0 + 27/5*x**3 + 1/150*x**5 - 29*x**2 + 0*x + 3/10*x**4. Factor v(d).
2*(d + 9)**2/5
Find g, given that 156/5 - 93/5*g**2 - 9*g - 18/5*g**3 = 0.
-4, -13/6, 1
Let u(p) be the second derivative of p**5/20 + 81*p**4/2 + 19683*p**3/2 + 2502*p. Factor u(x).
x*(x + 243)**2
Let o be 16/2 - (-1 + 12 + -14). Let t be 1*(o - (7 + -1)). Factor -2/3*i**t - 20/3*i**3 - 20/3*i**2 - 2/3 - 10/3*i**4 - 10/3*i.
-2*(i + 1)**5/3
Suppose 0 = -1733*y + 1717*y. Let z(n) be the third derivative of -7/4*n**4 + y*n + 0 + 1/20*n**5 + 49/2*n**3 - 3*n**2. Solve z(p) = 0 for p.
7
Factor -24 - 507*c + 122 + 2*c**3 - 26*c**2 + 339*c + 238*c.
2*(c - 7)**2*(c + 1)
Let m be (-7 - 297/(-2))*-6. Let b = 851 + m. Find l such that 0*l**b + 1/2*l + 0 - 1/2*l**3 = 0.
-1, 0, 1
Let j(d) be the second derivative of 3*d**5/20 + d**4/6 - d**3/2 - d**2 - 1911*d. Determine l, given that j(l) = 0.
-1, -2/3, 1
Let h = -122 - -124. Let k be (-1320)/110 + (-186)/(-15). What is s in 2/5*s**3 + 6/5*s + 6/5*s**h + k = 0?
-1
Let l(o) = -10 - 79 + 16*o + 0*o**2 + 4*o - o**2. Let i be l(7). What is s in 0*s + 0*s**i + 1/9*s**3 - 1/9*s**5 + 0*s**4 + 0 = 0?
-1, 0, 1
Solve -31*n + 64*n + 50*n**2 + n**2 - 21*n = 0 for n.
-4/17, 0
Find h such that -3/7*h**2 + 12 - 124/7*h = 0.
-42, 2/3
Factor 92*j**2 - 3*j**3 - 4*j**3 - 5208 + 4*j**3 + j**3 - 448*j - 10472.
-2*(j - 28)**2*(j + 10)
Suppose 2*y = -5*l + 323, -2*y + l + 0*l + 353 = 0. Suppose -y*h = -166*h. Factor h - 14/13*j**5 - 2*j**2 - 4/13*j - 46/13*j**4 - 54/13*j**3.
-2*j*(j + 1)**3*(7*j + 2)/13
Suppose -330*v**3 + 385 - 60*v**4 - 1328965*v**2 - 80*v**3 + 405*v + 1328560*v**2 - 75*v**3 = 0. What is v?
-7, -1, 11/12
Factor 160/3 + 6635/3*q - 415/6*q**2.
-5*(q - 32)*(83*q + 2)/6
Let i be (-449)/1575 - 218/(-763). Let q(m) be the third derivative of 0*m**3 + m**2 + i*m**7 - 1/180*m**6 + 0*m + 0 + 0*m**4 + 0*m**5. Factor q(v).
2*v**3*(v - 5)/15
Let o(f) = 2*f**3 - f**2 - 17*f - 3. Let d be o(4). Factor -33*q**2 - 3*q**4 + 18*q**3 + 19*q - d*q + 40*q.
-3*q*(q - 3)*(q - 2)*(q - 1)
Let u be 4 + (-7)/14*-44. Let -54 + u*y**2 - 46*y + 2*y**3 + 66*y + 6 = 0. What is y?
-12, -2, 1
Let f = 3699 + -3699. Let w(i) be the second derivative of 5/6*i**3 + 9*i + f + 5/12*i**4 - 5*i**2. Determine y, given that w(y) = 0.
-2, 1
Let c(p) = -3*p**2 + 12*p + 3. Suppose 3*b + b - 20 = 0. Let g(l) = 0*l - 10*l**2 + 23*l + 4*l**2 + b. Let t(n) = -5*c(n) + 3*g(n). Factor t(a).
-3*a*(a - 3)
Let v = 707/610 + 5/122. Let m be ((-14)/(-2