ve of 45*s - 9/10*s**5 + 1/14*s**7 + 0 + 0*s**2 + 0*s**6 - 3/2*s**3 + 2*s**4. What is g in j(g) = 0?
-3, 0, 1
Let z = 339219 - 339216. Solve 2/5*v**3 + 19/5*v - 6/5 - z*v**2 = 0.
1/2, 1, 6
Let h(b) be the first derivative of b**4/9 + 8*b**3/3 + 82*b**2/9 - 80*b/3 - 1446. Solve h(v) = 0.
-15, -4, 1
Let o be 13 - (-636)/(-48) - (-188)/112. Let k(a) be the first derivative of -3 - 4/21*a**3 - 16/7*a - o*a**2. Solve k(d) = 0.
-4, -1
Suppose -5*j = x + 40, 0*x + 4*x + 2*j = -88. Let p be (x/16)/((-4)/16). Factor p*l**2 + 3*l - 7*l**2 + 10*l**3 + 2*l - 13*l**2.
5*l*(l - 1)*(2*l - 1)
Let j(t) be the second derivative of t**7/42 + 31*t**6/30 + 159*t**5/20 + 75*t**4/4 + 7*t - 22. Factor j(g).
g**2*(g + 3)**2*(g + 25)
Factor 6*w - 3*w**5 - 8*w**3 - 4*w**2 - 1249*w**4 + 5*w**5 + 2507*w**4 - 1254*w**4.
2*w*(w - 1)**2*(w + 1)*(w + 3)
Suppose 3*o + 8 = -5*k + 4, 31 = 3*o - 2*k. Factor -o*z - 15*z + 5*z**2 + 5*z**3 + 12*z.
5*z*(z - 1)*(z + 2)
Let s(a) be the first derivative of -a**4/20 - 7*a**3/5 - 147*a**2/10 - 34*a + 17. Let k(q) be the first derivative of s(q). Factor k(r).
-3*(r + 7)**2/5
Let v(o) = 10*o + 74. Let h be v(-7). Let m(l) = 42*l - 48. Let x(c) = c**2 - 41*c + 48. Let a(w) = h*m(w) + 3*x(w). Suppose a(f) = 0. What is f?
-16, 1
Let z = 50 + -47. Suppose -z*s = -5*d - 236, 2*s + d - 194 = -3*d. What is t in t + 82*t**3 + 4*t - s*t**3 = 0?
-1, 0, 1
Suppose -10201/2 + 50601/4*g - 29595/4*g**2 - 3/4*g**4 - 601/4*g**3 = 0. What is g?
-101, 2/3, 1
Factor g**3 + 0 + 56/9*g**2 + 4/3*g.
g*(g + 6)*(9*g + 2)/9
Let h = -4872625/3 + 1624210. Solve 0*o + 0 - 4/3*o**3 - h*o**2 + 1/3*o**4 = 0 for o.
-1, 0, 5
Let r be 136 + ((-1)/5)/(126/315). Let t = r - 763/6. What is z in 16/3*z + 4/3 + 1/3*z**5 + 19/3*z**3 + t*z**2 + 7/3*z**4 = 0?
-2, -1
Factor 36/19 - 1562/19*g - 174/19*g**2.
-2*(g + 9)*(87*g - 2)/19
Suppose -142*y = -91*y - 714. Let x(w) be the first derivative of 12/65*w**5 + 8/13*w**3 - 4/13*w**2 - 1/39*w**6 - y + 0*w - 1/2*w**4. What is m in x(m) = 0?
0, 1, 2
Suppose 3*x = 8*x + 3*m - 59, -4*x + 31 = -3*m. Suppose -8*c - 15 = -55. Determine z, given that 33*z**4 - 15*z**3 - 6*z**5 - 4*z**5 + 32*z**4 - x*z**c = 0.
0, 1/4, 3
Let r(k) be the second derivative of -k**5/4 - 85*k**4/2 - 4225*k**3/6 - 1860*k**2 - 6571*k. Determine o so that r(o) = 0.
-93, -8, -1
Let p(s) be the third derivative of 31/72*s**4 - 1/630*s**7 - 5/9*s**3 + 55*s**2 + 0*s + 0 + 13/360*s**6 - 11/60*s**5. Solve p(i) = 0.
1, 10
Let i be 1305/(-60) + 28 + 2. What is k in -15/4*k - i*k**2 + 9/4 - 9/4*k**3 = 0?
-3, -1, 1/3
Let l be 39764/140 + 57/(-133). Let i = 5777/20 - l. Solve -i*d - 3/4*d**2 - 9/2 = 0.
-6, -1
Let i(s) be the third derivative of 81*s + 0 - 11/8*s**3 + 1/240*s**5 - 1/12*s**4 + s**2. Factor i(r).
(r - 11)*(r + 3)/4
Factor -148/17*d**2 + 2/17*d**3 + 1848/17*d + 35280/17.
2*(d - 42)**2*(d + 10)/17
Solve -375*q**3 + 0*q**2 + 0*q + 1/3*q**4 + 0 = 0.
0, 1125
Determine b so that 3420/13*b + 2/13*b**2 + 1462050/13 = 0.
-855
Let t(f) be the second derivative of -f**5 - 7*f**4/2 + 28*f**3/3 + 3*f**2 - 10*f - 171. Factor t(v).
-2*(v - 1)*(v + 3)*(10*v + 1)
Let y(o) be the second derivative of -4/7*o**2 - 13/21*o**3 - 5/14*o**4 + 0 - 1/10*o**5 - 59*o - 1/105*o**6. Factor y(l).
-2*(l + 1)**3*(l + 4)/7
Let p(w) = 9*w**3 - 30*w**2 + 42*w - 18. Let d(m) = -29*m**2 - 21 + 0*m**2 + 43*m + 2 + 9*m**3. Let g(f) = 3*d(f) - 4*p(f). Find q, given that g(q) = 0.
1, 5/3
Factor -2/13*p**2 + 160/13 + 76/13*p.
-2*(p - 40)*(p + 2)/13
Suppose 0*r = 5*r + 4*s - 28610, 4*r = -2*s + 22882. Factor -3*k**3 + 3*k**4 - r + 5718.
3*k**3*(k - 1)
Let f(v) = v**2 + 6*v - 33. Let m be f(-12). Suppose 3*i - 4*i + 35 = 2*j, 3*i + m = 3*j. Factor 32*d + 4*d**5 - 27*d**3 + 7*d**3 - d**4 + 4*d**2 + j - 3*d**4.
4*(d - 2)**2*(d + 1)**3
Let p(g) = 3*g**2 - 12*g - 1. Let a be p(6). Factor -17*o**2 + 2646*o**3 - 2721*o**3 - 5*o**5 - 28*o**2 - a*o**4.
-5*o**2*(o + 1)*(o + 3)**2
Find p such that -8*p + 48 - 2/3*p**3 - 20/3*p**2 = 0.
-6, 2
Let o(p) = -1946*p + 13624. Let a be o(7). Factor 0 - 194/11*u**3 + 18*u**a - 4/11*u.
-2*u*(u - 1)*(97*u - 2)/11
Let g be ((-918)/126)/(-17) - 11/(-7). Suppose -4*c = c - 15. Suppose 2*n**2 + 30*n**c - 32*n**3 + 4*n**2 + 9*n - g*n**4 + 4 + n = 0. Calculate n.
-1, 2
Let w be (40/(-25))/((-34)/85). Let u(v) be the first derivative of 0*v - 32*v**2 + 32/3*v**3 - v**w + 16. Let u(f) = 0. What is f?
0, 4
Let z(c) be the second derivative of 9409*c**5/60 + 9991*c**4/36 + 197*c**3/6 + 3*c**2/2 - 4761*c. Find p such that z(p) = 0.
-1, -3/97
Let y be (-20)/220 + (-3334)/(-36432). Let h = y + 827/1656. Find o such that 1/2*o**2 + o + h = 0.
-1
Suppose 0 = -5*u + u + w - 99, -3*u = w + 69. Let k be u/(-10) - ((-34)/(-10) + -3). Factor 239*j - 299*j + 3 + 5 + 28*j**k.
4*(j - 2)*(7*j - 1)
Let k = -336/1135 + 3802332/7945. Let u = k - 478. Factor 0*y + u*y**3 + 0 - 4/7*y**2 + 2/7*y**4.
2*y**2*(y - 1)*(y + 2)/7
Let m(a) = 34*a**2 - 6*a - 17. Let p(s) = -14*s - 15*s + 11*s**2 + 47*s - 6 - 20*s. Let w(i) = -6*m(i) + 17*p(i). What is h in w(h) = 0?
0, 2/17
Let p be ((-2)/4)/(1 + (-30)/36). Let s be 0 + p + 3510/990. Factor -s*c**3 + 24/11*c - 24/11 + 6/11*c**2.
-6*(c - 2)*(c - 1)*(c + 2)/11
Suppose 3*j - 6 = 5*l - j, 5*j - 22 = -l. Suppose 5*d + 0 = a + 16, -12 = 2*a. Factor 22*v**l + 12*v**d - 36*v**2 - 4 - 6*v.
-2*(v + 1)*(v + 2)
Let 85 + 88*w - 132 - 97 + 15*w**2 + 4*w**2 + 9*w**2 - 22*w**3 + 2*w**4 = 0. Calculate w.
-2, 2, 9
Factor -18*o**3 + 5*o**4 + 3*o**4 - 32*o**2 - 2*o**3 + 8*o + 18*o**3.
2*o*(o - 2)*(o + 2)*(4*o - 1)
Suppose 1574*c + 1387*c = 3143*c - 364. Factor -1/8*b**5 + 3/8*b**4 - 1/4*b**c - 1/8 + 3/8*b - 1/4*b**3.
-(b - 1)**4*(b + 1)/8
Let j(w) be the first derivative of -4*w**5/5 - 118*w**4 + 2432*w**3/3 - 1716*w**2 + 1476*w - 2825. Solve j(k) = 0.
-123, 1, 3
Let x(a) be the second derivative of -8/3*a**3 + 4/3*a**4 - 1/5*a**5 - 37*a + 0 + 0*a**2. Suppose x(y) = 0. What is y?
0, 2
Let q(r) be the first derivative of -2*r**5/35 - 187*r**4/7 - 990*r**3/7 - 1852*r**2/7 - 1480*r/7 - 11988. Let q(k) = 0. What is k?
-370, -2, -1
Let l(z) be the first derivative of -z**3/3 + 25*z - 11. Let l(c) = 0. What is c?
-5, 5
Suppose 0 = -5*t - 10*t - 78*t. Let k(a) be the second derivative of t*a**3 + 7*a - 1/5*a**5 - a**4 + 8*a**2 + 0. Factor k(i).
-4*(i - 1)*(i + 2)**2
Let a = -100 + 102. Let g be -6 + 0 - (-46)/14*a. Factor 0*b**2 - 4/7*b**3 + g*b + 0.
-4*b*(b - 1)*(b + 1)/7
Let c(s) be the first derivative of 6*s**3/7 + 227*s**2/7 + 100*s/7 + 337. Factor c(b).
2*(b + 25)*(9*b + 2)/7
Let c = -225335 + 676006/3. Determine h, given that -6 - 19/3*h - c*h**2 = 0.
-18, -1
What is r in 84/11*r - 2/11*r**2 - 784/11 = 0?
14, 28
Let d(v) be the third derivative of v**6/720 + 2*v**5/45 + 17*v**4/36 + 20*v**3/9 - 3*v**2 + 101. Factor d(j).
(j + 2)*(j + 4)*(j + 10)/6
Let k = -52 - -55. Suppose -k*i - r = 2*r + 6, 2*i = 2*r + 12. Determine l so that 11*l**2 - 6*l**2 - l**i + 16*l**2 + 4*l**3 + 24*l = 0.
-3, -2, 0
Let n(h) be the second derivative of -2*h**2 + 1/6*h**4 + 1/15*h**6 + 3/10*h**5 - h**3 - 5 + 8*h. Solve n(r) = 0.
-2, -1, 1
Let r(f) be the third derivative of 0*f - 1/5*f**5 + 2*f**3 + 1/60*f**6 + 14 - 3*f**2 - 1/12*f**4. Solve r(b) = 0.
-1, 1, 6
Suppose n + z - 5 = -1, -2*n - 3*z = -9. Suppose -5*s - p = -62, 4*p = 5 + 3. Factor -s*y**2 - 5*y**4 - 23*y**3 + 0*y**2 - 2*y + 1 + 9*y**n.
-(y + 1)**3*(5*y - 1)
Let h(k) be the third derivative of 0*k**3 + 7/32*k**4 - 3/40*k**5 + 2*k**2 + 15 - 1/160*k**6 + 0*k. Determine c, given that h(c) = 0.
-7, 0, 1
Let l(a) be the second derivative of -a**7/105 + a**5/10 + a**4/6 + 37*a**2/2 - 2*a + 5. Let u(x) be the first derivative of l(x). Find q, given that u(q) = 0.
-1, 0, 2
Let y(i) = i**2 - i - 10. Let p be y(4). Factor 5*n**2 - 10*n**3 - 17*n**4 + 46*n**3 - 2*n**2 - 7*n**p.
-n**2*(n - 2)*(17*n - 2)
Suppose -66 = 3*z - 6*z. Factor -35 + 34*b + 4*b**5 + 41 - 4*b**2 - 2*b - 20*b**3 - z + 4*b**4.
4*(b - 1)**3*(b + 2)**2
Let t(b) be the third derivative of b**8/672 + b**7/35 + 43*b**6/240 + b**5/2 + 7*b**4/12 + b**2 + 73. Factor t(g).
g*(g + 1)*(g + 2)**2*(g + 7)/2
Let z = -19306 + 19306. Let q(l) be the second derivative of -8/15*l**6 + 3*l**5 + 0 - 8/3*l**3 - 4*l**4 + z*l**2 + 33*l. Determine w, given that q(w) = 0.
-1/4, 0, 2
Factor 1/4*p**2 - 1/4*p**4 + 1/2