 + 0 + 2/3*d**5 - 4/3*d**3 + 0*d**4 = 0.
-1, 0, 1
Let w = 167 - 173. Let j be (-2)/4*-1*(-8 + -2). Let q(m) = 8*m**2 - 4*m - 28. Let l(h) = -7*h**2 + 5*h + 28. Let o(z) = j*q(z) + w*l(z). Factor o(u).
2*(u - 7)*(u + 2)
Let d(g) = -g**2 - 2*g. Let w be d(-2). Suppose -o + 16 = h - 3, o - 2*h - 28 = w. What is l in -3 - 32*l - 2*l**2 - o*l - 1 + 48*l = 0?
-2, -1
Let a be 3*12/(-36) + 1. Let i(k) be the first derivative of 0*k**2 - 1/33*k**6 + 0*k + a*k**5 - 3 + 4/33*k**3 + 3/22*k**4. Factor i(d).
-2*d**2*(d - 2)*(d + 1)**2/11
Suppose 26*j - 8 = 21*j + 2*z, 2*z = -j + 4. Suppose -k + 7 = j*c, -5*c - k = -10*c + 7. Factor 5/2*p + 1 + 1/2*p**3 + c*p**2.
(p + 1)**2*(p + 2)/2
Let y(t) be the first derivative of 44*t + 43 - 46*t**2 + 52/3*t**3 - t**4. Factor y(i).
-4*(i - 11)*(i - 1)**2
Let h = -27 - -31. Factor -14*q - 14*q - 4 + h*q + 4*q - 24*q**2.
-4*(2*q + 1)*(3*q + 1)
Suppose 12 = -j - 3*g - 0*g, -5*g + 25 = 0. Let v = j + 31. Factor -5*a**3 - v*a**3 - 3 - 2*a**3 + 3*a**2 + 3*a + 8*a**3.
-3*(a - 1)**2*(a + 1)
Let s(a) be the first derivative of -a**6/2700 + a**5/45 + 7*a**4/60 + 17*a**3/3 - 41. Let p(k) be the third derivative of s(k). Suppose p(m) = 0. Calculate m.
-1, 21
Let q = -217873 + 217875. Factor 5/4*l**q - 3/4*l**3 + 0 - 1/2*l - 1/4*l**4 + 1/4*l**5.
l*(l - 1)**3*(l + 2)/4
Let n(y) be the second derivative of -y**7/105 - 2*y**6/25 + 9*y**5/5 - 142*y**4/15 + 109*y**3/5 - 126*y**2/5 + 10*y + 596. Determine t, given that n(t) = 0.
-14, 1, 3
Suppose 4*s = 5*m + 5, -5*m - 2*s + 214 - 189 = 0. Let k(t) be the first derivative of -27/14*t**4 - 20/21*t**m + 0*t - 36/35*t**5 + 0*t**2 - 6. Factor k(l).
-2*l**2*(3*l + 2)*(6*l + 5)/7
Let b = 1341 + -3988/3. Let i = 112/9 - 52/9. Find p, given that 40/3*p**2 + 0 + b*p**3 - i*p - 25/3*p**4 = 0.
-1, 0, 2/5, 2
Let n(b) be the first derivative of -3*b**5 + 275*b**4/2 + 245*b**3/3 - 1100*b**2 - 740*b + 1146. Let n(z) = 0. Calculate z.
-2, -1/3, 2, 37
Let b be (0 - 4 - -3) + (-46739)/56. Let h = 836 + b. Determine o so that -h*o - 3/8*o**3 + 0 - 3/4*o**2 = 0.
-1, 0
What is f in 7/3*f**5 + 559/9*f**3 - 370/9*f**4 + 32/9*f - 242/9*f**2 + 0 = 0?
0, 2/7, 1/3, 1, 16
Let o(k) = 2*k**3 + 92*k**2 + 176*k + 3. Let m be o(-44). Let v be (-2 + 2)/(0 + -2). Determine s so that 4/5*s - 2/5*s**m + 2/5*s**2 + v = 0.
-1, 0, 2
Let f = 11909703/106 - 112357. Let y = 10/53 - f. Factor r**3 - 1/2 + 1/2*r**5 - y*r - r**2 + 3/2*r**4.
(r - 1)*(r + 1)**4/2
Let y(t) be the first derivative of -1/90*t**5 + 0*t - 9 - 13/2*t**2 + 1/9*t**4 - 4/9*t**3. Let i(d) be the second derivative of y(d). Factor i(p).
-2*(p - 2)**2/3
Suppose 35*n = 233 - 58. Let q(s) be the third derivative of 0 + 1/1260*s**6 + 1/42*s**4 + 1/126*s**n + 0*s - 10*s**2 + 0*s**3. Solve q(x) = 0 for x.
-3, -2, 0
Let -10*r**2 + 4*r**5 - 18*r**2 + 3*r - r + 36*r**3 - 5*r - 37*r + 28*r**4 = 0. Calculate r.
-5, -2, -1, 0, 1
Let j be (-3*(-155)/(-15))/1. Let m be 2/4*j/(-62). Factor 0 - m*k**2 + 0*k.
-k**2/4
Suppose 3278/7 + 2/7*b**2 + 3280/7*b = 0. Calculate b.
-1639, -1
Let a(m) be the second derivative of 1/28*m**4 - 3/140*m**5 - 10 + 2/7*m**3 - m - 6/7*m**2. Suppose a(w) = 0. Calculate w.
-2, 1, 2
Let s(n) be the second derivative of -3*n**5/20 - 623*n**4/6 - 1657*n**3/6 - 207*n**2 + 434*n - 9. Factor s(t).
-(t + 1)*(t + 414)*(3*t + 1)
What is u in -1952/9*u - 2/9*u**2 - 476288/9 = 0?
-488
Let f(p) = 45*p + 192. Let z(m) = m**2 + 91*m + 384. Let k(v) = 3*v + 40. Let d be k(-9). Suppose -14*h + d*h = 3. Let x(n) = h*z(n) + 5*f(n). Factor x(c).
-3*(c + 8)**2
What is a in -12/5*a**3 + 16/5*a - 2/5*a**4 + 8/5*a**2 + 2/5*a**5 + 0 = 0?
-2, -1, 0, 2
Solve 1832/7 + 4576/7*d - 10/7*d**2 = 0.
-2/5, 458
Determine y so that 12*y**4 + 4*y**5 + 4*y - 33*y + 4*y**3 - 12*y**2 - 16*y + 37*y = 0.
-2, -1, 0, 1
Let m(v) be the third derivative of 13*v**2 + 4/385*v**7 + 0 + 0*v**3 + 1/44*v**4 + 0*v + 0*v**6 - 3/110*v**5. Find k, given that m(k) = 0.
-1, 0, 1/2
Let k(c) = 45*c**2 - 32860*c + 17952520. Let x(p) = 14*p**2 - 10952*p + 5984174. Let m(r) = -3*k(r) + 10*x(r). Factor m(o).
5*(o - 1094)**2
Let v(w) be the second derivative of -w**4/78 + 236*w**3/39 - 235*w**2/13 + 1872*w. Factor v(t).
-2*(t - 235)*(t - 1)/13
Let p(s) be the first derivative of s**4/2 + 28*s**3/3 + 65*s**2 + 200*s + 4056. Find q such that p(q) = 0.
-5, -4
Let b = 2768/117 + -166/13. Let l be 1 - 240/(-27) - (-102 + 111). Factor b*f**2 + 0*f - l.
2*(7*f - 2)*(7*f + 2)/9
Let o = 175/34 - 299/68. Let q(x) be the first derivative of 6*x**3 + o*x**4 + 28 + 15/2*x**2 + 0*x. Factor q(k).
3*k*(k + 1)*(k + 5)
Solve -3*t**5 - 505/3*t**3 + 16 + 79*t**4 + 5*t**2 + 214/3*t = 0.
-1/3, 1, 2, 24
Suppose 5*x + 4*w = 44, -30 = -4*x - w + 3*w. Let k be (-4)/9*((-22)/x + 2). Suppose -25/3 - k*y**4 + 4*y**3 + 20*y - 46/3*y**2 = 0. What is y?
1, 5
Solve 272/13*z**2 + 176/13*z**4 - 388/13*z**3 - 54/13*z - 6/13*z**5 + 0 = 0.
0, 1/3, 1, 27
Suppose 5*t + 299*q - 301*q - 27 = 0, 15 = 3*t - q. Let a(n) be the third derivative of 5/14*n**t + 0 + 1/140*n**5 + 3/28*n**4 - 41*n**2 + 0*n. Factor a(r).
3*(r + 1)*(r + 5)/7
Let 10685*h**3 - 56*h**4 - 592*h**2 - 6*h**5 + h**5 - 10961*h**3 - 192 + h**5 - 560*h = 0. Calculate h.
-6, -4, -2, -1
Factor 552 - 7477*s**2 - 7483*s**2 + 3*s**3 + 15086*s**2 - 540*s.
3*(s - 2)**2*(s + 46)
Suppose 0 - 2248/7*x**2 - 2*x**5 - 64*x - 2616/7*x**3 - 830/7*x**4 = 0. What is x?
-56, -2, -1, -2/7, 0
Let u be -2236 - -12*(-2)/4 - 5. Let c = 20225/9 + u. What is l in -10/9*l - 8/9*l**2 - c*l**3 - 4/9 = 0?
-2, -1
Let x(y) be the second derivative of 0*y**4 + 0*y**3 - 70*y - 2/3*y**6 + 1/4*y**5 + 0 - 25/42*y**7 + 0*y**2. Factor x(z).
-5*z**3*(z + 1)*(5*z - 1)
Let h = 7421 + -7419. Factor 0*d - 6*d**4 - 48*d**h + 0 + 42*d**3 - 3/2*d**5.
-3*d**2*(d - 2)**2*(d + 8)/2
Let j be 73/((-2044)/1176) + 44. Suppose 26/7*z - 8/7 - 30/7*z**j - 2/7*z**4 + 2*z**3 = 0. Calculate z.
1, 4
Let s = -1517 + 2307. Let l be 79/s*(16 - 0). Factor 4/3*t**4 - l*t**3 + 0 - 2/5*t**5 - 2/15*t + 4/5*t**2.
-2*t*(t - 1)**3*(3*t - 1)/15
Let p(z) = z**3 + 14*z**2 + 3. Let c be p(-14). Solve -92*s**3 - 94*s**c + 189*s**3 + 3*s**2 = 0 for s.
-1, 0
Let r(h) be the second derivative of 2738*h**5/75 - 370*h**4/3 + 33*h**3/5 - 2*h**2/15 + 1246*h. Determine f so that r(f) = 0.
1/74, 2
Suppose 0 = -a + 3*l - 9, a - 3*l + 5*l = 11. Factor -8*q**4 + 3*q**a + 10*q + 3*q**5 - 12*q - 3*q**2 + 15*q**4.
q*(q + 1)**3*(3*q - 2)
Let n be (0 - -1 - (9 - -1))*814/(-2442). Let g(o) be the first derivative of -3*o**2 - 21/22*o**4 - 7 - 32/11*o**n - 12/11*o. Factor g(a).
-6*(a + 1)**2*(7*a + 2)/11
Solve 352/7 + 54/7*d + 2/7*d**2 = 0 for d.
-16, -11
Let g be ((-2)/(-4) - 1) + (-41)/(-2). Determine b, given that 5*b**4 - g*b - b**2 + 5*b**4 - 25*b**3 + 41*b**2 - 5*b**4 = 0.
0, 1, 2
Suppose -t - 2*z = -7, 13*z + 4 = 15*z. Suppose 22 = 4*w + t*u - 1, -u + 11 = 3*w. Factor 0*h + h**4 - 1/4*h**5 + 0 + 1/2*h**w - 5/4*h**3.
-h**2*(h - 2)*(h - 1)**2/4
Let g(f) be the third derivative of -1/40*f**5 + 0*f + 9/2*f**3 + 0 - 17/16*f**4 + 204*f**2. Suppose g(l) = 0. What is l?
-18, 1
Let l(o) be the third derivative of o**8/10080 + 17*o**7/2520 + 2*o**6/45 - 47*o**5/60 - 55*o**2. Let m(b) be the third derivative of l(b). Factor m(y).
2*(y + 1)*(y + 16)
Let -1588 + 8*a**2 + 1378 - 209*a - 3*a**2 - 4*a**2 = 0. Calculate a.
-1, 210
Let v(l) be the first derivative of 3*l**6/4 + 381*l**5/20 + 51*l**4/2 - 87*l**3/4 - 213*l**2/4 - 30*l + 616. Suppose v(p) = 0. Calculate p.
-20, -1, -2/3, -1/2, 1
Let b(a) be the first derivative of 16*a + 1/2*a**3 + 3/2*a**2 - 15 - 3/20*a**5 - 1/4*a**4. Let r(t) be the first derivative of b(t). Factor r(j).
-3*(j - 1)*(j + 1)**2
Factor 64 - 44/3*t + 2/3*t**2.
2*(t - 16)*(t - 6)/3
Suppose -143*u + 137*u + 18 = 0. Suppose q = j + 4*j - 19, 17 = 5*j - u*q. Factor j + 3/2*g**3 + 10*g + 7*g**2.
(g + 2)**2*(3*g + 2)/2
Let r(o) = 114*o**2 - 57*o**3 - 91 + 127 - 12*o**2 + 168*o. Let j(l) = 14*l**3 - 25*l**2 - 42*l - 9. Let g(n) = 9*j(n) + 2*r(n). Factor g(z).
3*(z - 3)*(z + 1)*(4*z + 1)
What is x in -10/9*x - 2/9*x**2 + 28 = 0?
-14, 9
Suppose -14*g = -7*g - 84. Let n = -34/3 + g. What is i in -n*i + 1/3 + 1/3*i**2 = 0?
1
Let r(z) be the third derivative of 1/120*z**5 + 0 + 0*z**4 + 0*z + 0*z**3 + 9/280*z**7 - 29/480*z**6 - 112*z**2. Factor r(q).
q**2*(q - 1)*(27*q - 2)/4
