(x + 3)*(x + 61)
Solve 20/7*k**4 + 168*k + 0 - 2/7*k**5 - 104*k**2 + 38/7*k**3 = 0 for k.
-6, 0, 2, 7
Let v = 87/350 - 8/35. Let o(f) be the second derivative of -v*f**5 + 0 + 0*f**3 + 0*f**2 + f + 1/15*f**4. Factor o(b).
-2*b**2*(b - 2)/5
Suppose -111/2*i**2 + 4107*i - 101306 + 1/4*i**3 = 0. Calculate i.
74
Factor 1691*k**2 - 1621*k + 9528 - 1675*k + 679*k**2 + 3*k**3 - 6220*k.
3*(k - 2)**2*(k + 794)
Suppose 3*d - 2*d = 2*z + 42, -5*z = 10. Suppose d*n + 24 = 46*n. Let -3*l**2 + 8*l - l - 42*l**2 + n*l = 0. What is l?
0, 2/9
Let r(d) = 4*d**3 + 1960*d**2 + 7904*d + 7976. Let q(p) = 6*p**3 + 3266*p**2 + 13174*p + 13293. Let v(y) = 8*q(y) - 13*r(y). Suppose v(m) = 0. Calculate m.
-2, 166
Let i(o) = 9*o - 2. Let v be i(-7). Let j = v + 68. Factor -9 - s**2 - 3*s + j - s**2 + 5*s**2.
3*(s - 2)*(s + 1)
Let g(o) be the third derivative of 0*o + o**2 - 8/25*o**5 + 12 - 17/200*o**6 + 1/5*o**3 - 13/40*o**4. Solve g(i) = 0 for i.
-1, 2/17
Let m(r) be the third derivative of 0 + 0*r + 115*r**2 - 2/15*r**5 + 0*r**6 - 1/84*r**8 + 4/105*r**7 + 0*r**3 + 1/6*r**4. Factor m(a).
-4*a*(a - 1)**3*(a + 1)
Suppose -11 = 2*s - 7*y - 8, -4*s + 5 = -3*y. Suppose s*b = 16*t - 12*t, 0 = -3*b - 4*t + 10. Suppose 0 + 1/6*d**3 - 1/6*d + 0*d**b = 0. Calculate d.
-1, 0, 1
Let j(t) be the first derivative of -4*t**4/9 + 7*t**3 + 8*t**2/3 + 55*t + 167. Let a(o) be the first derivative of j(o). Find b, given that a(b) = 0.
-1/8, 8
Let l be 3020/12 - (-4048)/(-368). Solve -38/3*x**2 - 2/9*x**3 - 13718/9 - l*x = 0.
-19
Factor 0 - 5*o**3 + 31/2*o**2 + 1/2*o**4 - 15*o.
o*(o - 5)*(o - 3)*(o - 2)/2
Let v(l) be the third derivative of -37/12*l**5 - 44*l**2 + 0*l + 0 - 15/2*l**4 + 0*l**3 - 1/24*l**6. Solve v(d) = 0 for d.
-36, -1, 0
Let z(d) = d**4 + 21*d**3 - 64*d**2 + 6*d. Let w(s) = 3*s - 151267*s**2 - 2*s + 2*s**3 + 151265*s**2. Let n(h) = -6*w(h) + z(h). Determine r so that n(r) = 0.
-13, 0, 4
Let r = 1/38329 - -306627/191645. Factor r*q + 4/5*q**2 + 16/15 + 2/15*q**3.
2*(q + 2)**3/15
Let b = 3752/9 - 14873/36. Let y(o) be the first derivative of 27/4*o - 9/20*o**5 - 19/2*o**3 - 9/2*o**2 - b*o**4 - 4. Find r, given that y(r) = 0.
-3, -1, 1/3
Let q(s) = 2*s**2 - s - 68. Let p be q(-6). Suppose -3*l + 2*c = -0*l - p, -l - 2 = 2*c. Determine g, given that 0*g**l + 1/7*g - 1/7*g**3 + 0 = 0.
-1, 0, 1
Let z(u) be the third derivative of 0 - 1/150*u**5 + 1/15*u**4 - 1/5*u**3 - 6*u + 2*u**2. Factor z(p).
-2*(p - 3)*(p - 1)/5
Let 32/5*i**2 + 32/5 - 2/5*i**5 - 2*i**4 - 8/5*i**3 + 64/5*i = 0. What is i?
-2, -1, 2
Let i(r) = 98*r**3 - 1472*r**2 + 2234*r - 868. Let w(d) = -33*d**3 + 491*d**2 - 744*d + 289. Let j(y) = -3*i(y) - 8*w(y). Let j(o) = 0. What is o?
2/3, 1, 73/5
Let a(t) be the third derivative of 0 - 5/78*t**4 + 2*t**2 - 1/10*t**5 + 1/195*t**6 + 0*t**3 - 2*t. Solve a(w) = 0.
-1/4, 0, 10
Let u(a) be the first derivative of a**6/30 - 3*a**5/5 + 4*a**4/3 + 27*a**2/2 - 190. Let q(z) be the second derivative of u(z). Factor q(j).
4*j*(j - 8)*(j - 1)
Let s(j) be the first derivative of -2*j**3/3 - 11*j**2 + 304*j + 1609. Let s(y) = 0. What is y?
-19, 8
Let c = 4212 + -4212. Let z(y) be the second derivative of 1/4*y**5 + 0*y**3 + 0*y**2 + c + 5/12*y**4 + 8*y. Factor z(j).
5*j**2*(j + 1)
Let m(d) be the second derivative of d**4/6 + 61*d**3/3 - 62*d**2 - 869*d + 2. Find p such that m(p) = 0.
-62, 1
Suppose 6*t - 15*t**2 + 143*t**4 - 12*t**3 + 133*t**4 + 137*t**4 + 135*t**4 - 539*t**4 = 0. What is t?
-1, 0, 1/3, 2
Let k be (981 + -976)*(-2)/(-20). Factor -13 - k*w**2 - 15/2*w.
-(w + 2)*(w + 13)/2
Let y(z) be the second derivative of z**7/504 + 5*z**6/48 - 11*z**4/2 - 107*z. Let v(o) be the third derivative of y(o). Factor v(a).
5*a*(a + 15)
Let o(s) be the third derivative of -s**6/300 + 376*s**5/75 - 35344*s**4/15 + 2995*s**2 + 2*s + 2. Factor o(j).
-2*j*(j - 376)**2/5
Let s(l) be the first derivative of l**6/2 - 339*l**5 + 236865*l**4/4 + 240265*l**3 + 362100*l**2 + 241968*l + 385. Factor s(r).
3*(r - 284)**2*(r + 1)**3
Let m be 33 + (-1888)/2496*42. Suppose -36/13*t**2 - 18/13*t - m*t**3 + 2/13*t**5 + 4/13*t**4 + 0 = 0. Calculate t.
-3, -1, 0, 3
Factor 7006609/6 + 1/6*i**2 + 2647/3*i.
(i + 2647)**2/6
Let w be (21/2)/((-30)/(-40)). Determine x, given that -5 + w*x**2 + x**2 + 15*x - 25*x**2 = 0.
1/2, 1
Find f, given that 9/4*f**3 - 27/2*f**4 + 24*f**2 + 0 - 9*f - 15/4*f**5 = 0.
-3, -2, 0, 2/5, 1
Suppose -11*l - 2 + 35 = 0. Suppose 0 = -n + 1 + 5. Factor m**2 - 9 - 3*m + l*m**3 + 2*m**2 + n.
3*(m - 1)*(m + 1)**2
Let d(c) be the first derivative of 0*c**2 + 1/12*c**5 + 18 + 1/3*c**4 - 22/3*c**3 + 0*c + 1/180*c**6. Let b(o) be the third derivative of d(o). Factor b(m).
2*(m + 1)*(m + 4)
Suppose z + 0*z = 0. Let i be (z - 6)/(-6 - (5 - 8)). Solve 0 + 3/8*x**i + 3/4*x = 0.
-2, 0
Suppose -d + 68 = d - 4*i, -2*d + 76 = 4*i. Let b be (-15)/(-9)*d/15. Factor 29*p**b + 4*p**2 - 17*p**4 - 6*p**2 - 10*p**4.
2*p**2*(p - 1)*(p + 1)
Suppose 7*g - 95 = 2*g. Let j(o) = o - 15. Let b be j(g). What is y in 5*y - 5*y + 2*y**3 - y**b - 8*y**2 + 7*y**2 = 0?
0, 1
Let t(x) be the second derivative of -x**4/24 + 44*x**3 - 17424*x**2 + 1674*x. Factor t(b).
-(b - 264)**2/2
Let a be ((6/12)/(-1))/((-153)/102). Let f(n) be the second derivative of 35*n - a*n**3 + 1/8*n**4 + 0*n**2 + 0. Factor f(d).
d*(3*d - 4)/2
Suppose -22*r + 39 = -71. Solve 18*m**3 - 20*m**3 + 23*m**4 - 3*m**5 - 13*m**r + 28*m**5 = 0 for m.
-2, 0, 1/12
Suppose -3*a - 33 + 39 = 0. Let l be (a/(-6))/(30/(-450)). Suppose y**3 + 1/3*y**2 - 2/3*y**l - 1/3*y**4 + 0 - 1/3*y = 0. What is y?
-1, 0, 1/2, 1
Let w = 945597 - 945597. Factor 0*l**2 + w - 12*l**5 + 0*l - 9*l**4 - 3/2*l**3.
-3*l**3*(2*l + 1)*(4*l + 1)/2
What is c in -5000*c + 93284 + 114213 + 318835 + 5*c**2 + 723668 = 0?
500
Factor -66*z**4 + 16*z**2 - 12 + 6*z**3 + 62*z**4 - 4*z - 5*z**3 - 4*z + 7*z**3.
-4*(z - 3)*(z - 1)*(z + 1)**2
Factor 956/5*x - 1/5*x**3 + 187/5*x**2 + 768/5.
-(x - 192)*(x + 1)*(x + 4)/5
Let z(d) be the third derivative of -d**6/360 - d**5/12 + 3*d**4/4 - 1364*d**2. Factor z(q).
-q*(q - 3)*(q + 18)/3
Let t = 3001/2345 + 2/335. Let o be (-292)/28 + (-4 - -1 - -14). Find f such that -o*f**3 - 6/7*f + t*f**2 + 1/7 = 0.
1/4, 1
Let w = 997 - 993. Let g(y) be the third derivative of 1/6*y**w + 0*y**3 + 17*y**2 + 0 - 1/10*y**5 + 1/60*y**6 + 0*y. Let g(v) = 0. Calculate v.
0, 1, 2
Let b(f) be the third derivative of 0 + 1/1380*f**6 + 4/23*f**3 + f - 1/12*f**4 - 59*f**2 + 1/69*f**5. Suppose b(g) = 0. Calculate g.
-12, 1
Let q(g) = 36*g + 13*g - 30 - 13*g - 8*g**2. Let o(b) = -11*b**2 + 36*b - 28. Let s(t) = -2*o(t) + 3*q(t). Factor s(j).
-2*(j - 17)*(j - 1)
Let k = -153 + 769/5. Suppose -62*w = 17442 - 17442. Suppose -k*i + w + 1/5*i**3 - 3/5*i**2 = 0. What is i?
-1, 0, 4
Let t(o) be the second derivative of o**7/84 + o**6/5 - o**5 - 25*o**4/4 + 93*o**3/4 + 189*o**2/2 - 2169*o. Determine p, given that t(p) = 0.
-14, -3, -1, 3
Let a be ((-10)/(-130))/((-32)/20 - -2). Let l = 7/26 + a. Factor l*d**2 + 0 - 2/13*d + 2/13*d**4 - 6/13*d**3.
2*d*(d - 1)**3/13
Let y = -10439 - -10444. Factor 32/7*j + 12/7*j**4 + 2/7*j**y + 2/7*j**3 - 48/7*j**2 + 0.
2*j*(j - 1)**2*(j + 4)**2/7
Let h be -1*(-2)/5 - 20256/(-160). Let q = h + -123. What is n in -10/7*n**q + 6/7 + 2*n - 12/7*n**3 + 4/7*n**2 - 2/7*n**5 = 0?
-3, -1, 1
Let z = 1127034 - 1127034. Factor 2/5*j**2 + z + 44/5*j.
2*j*(j + 22)/5
Let l(s) = 17*s**4 - 139*s**3 - 274*s**2 - 12*s - 18. Let h(g) = 20*g**4 - 139*g**3 - 274*g**2 - 14*g - 21. Let z(m) = -6*h(m) + 7*l(m). Factor z(y).
-y**2*(y + 2)*(y + 137)
Let t be ((-378)/22)/(1 - (-2034)/(-2088)). Let z = -664 - t. Determine v so that -2/11*v**5 + 6/11*v - 8/11*v**2 + 0 - z*v**3 + 8/11*v**4 = 0.
-1, 0, 1, 3
Find l such that -232*l**4 - 41*l**4 - 20*l**2 + 224*l**5 + 264*l**3 + 23*l**4 + 49*l**4 - 267*l**4 = 0.
0, 5/56, 1
Let z(a) = -13*a**2 - 159*a - 23. Let x be z(-12). Suppose x - 17 = -4*q, -4*u + 10 = 2*q. Factor 6/17 - 6/17*w**u + 2/17*w**3 - 2/17*w.
2*(w - 3)*(w - 1)*(w + 1)/17
Let b(m) be the first derivative of -m**5/15 - 4*m**4/3 - m**2/2 - 8*m + 45. Let s(q) be the second derivative of b(q). Determine n so that s(n) = 0.
-8, 0
Let p(h) be the third derivative of -h**5/60 + 37*h**4/24 - 57*h**3 + 34*h**2 + 29*h. Factor p(g).
-(g - 19)*(g - 18)
Suppose -2*z + 5*g = -15, 5*z - 3*