0. What is g?
-8, -2, -1
Let v = -13070 + 78421/6. What is o in -5/6*o**2 + v*o**3 + 0 + 1/6*o**4 + 1/2*o = 0?
-3, 0, 1
Suppose 489 = 5*x + k + 48, -x - 3*k + 77 = 0. Factor x*o**2 - 3*o**3 + 94*o**2 + 3*o**5 - 3*o**4 - 180*o**2.
3*o**2*(o - 1)**2*(o + 1)
Let d(s) be the first derivative of 8*s**6/9 - 12*s**5/5 - 10*s**4/3 + 140*s**3/9 - 16*s**2 + 16*s/3 + 233. Suppose d(k) = 0. Calculate k.
-2, 1/4, 1, 2
Let s(p) be the first derivative of -32/5*p**5 + 0*p - 144*p**3 - 81 - 56*p**2 - 75*p**4 + 2*p**6. Find u such that s(u) = 0.
-2, -1/3, 0, 7
Suppose -240*k = -220*k + 14720. Let p = k + 738. Factor 0*o**3 + 2/3*o**4 - 2*o**p + 0 - 4/3*o.
2*o*(o - 2)*(o + 1)**2/3
Let u(d) be the second derivative of d**10/45360 - d**9/17010 + d**8/30240 - d**4/12 + 13*d**2 - 49*d. Let k(o) be the third derivative of u(o). Factor k(x).
2*x**3*(x - 1)*(3*x - 1)/9
Let r be (17284/(-10))/2 + (-7)/(-35). Let g = 867 + r. Let 8/7 + 102*s**2 + 578/7*s**g + 144/7*s = 0. What is s?
-1, -2/17
Let -578*u**3 - 423*u**3 + 297 - 655*u**3 - 2391*u**2 - 355*u - 48*u**4 - 131*u = 0. Calculate u.
-33, -1, -3/4, 1/4
Suppose 564 = -11*k + 608. Let t(p) be the second derivative of 0*p**3 + 0 + 0*p**2 + 0*p**k + 1/30*p**5 - 1/15*p**6 + 14*p. Factor t(v).
-2*v**3*(3*v - 1)/3
Factor 20273*i**2 + 7*i**3 - 20025*i**2 - 158*i + 1406*i + 5*i**3.
4*i*(i + 12)*(3*i + 26)
Let g(i) be the third derivative of i**5/360 + 37*i**4/144 - 10*i**3 - 3011*i**2. Factor g(t).
(t - 8)*(t + 45)/6
Let y(q) be the first derivative of -256/3*q + 1/9*q**4 - 45 - 76/27*q**3 + 224/9*q**2. Factor y(a).
4*(a - 8)**2*(a - 3)/9
Let h(w) be the first derivative of 4*w**5/25 - 6*w**4/5 - 36*w**3/5 - 8*w**2/5 + 144*w/5 + 2557. Factor h(u).
4*(u - 9)*(u - 1)*(u + 2)**2/5
Let v be (-1252)/(-530) - 148/(-3922). Factor -v + 8/5*t**2 - 2/5*t**3 - 2/5*t.
-2*(t - 3)*(t - 2)*(t + 1)/5
Let k(y) be the first derivative of 2*y**3/21 + 320*y**2/7 - 393. Factor k(z).
2*z*(z + 320)/7
Let x(v) be the third derivative of -1/1620*v**6 + 19*v**2 + 0 + 1/36*v**4 + 0*v + 1/270*v**5 - 8/3*v**3. Let g(d) be the first derivative of x(d). Factor g(j).
-2*(j - 3)*(j + 1)/9
Let w(m) be the second derivative of -3*m**5/40 + 11*m**4/2 + 45*m**3/4 + m - 175. Factor w(z).
-3*z*(z - 45)*(z + 1)/2
Let m(y) be the first derivative of -y**5/45 + 5*y**4/6 - 37*y**3/3 + 90*y**2 - 324*y + 1914. Solve m(j) = 0 for j.
6, 9
Suppose 774 - 82 = 4*h. Suppose -c - h = -485. Factor -c + 56 - 192*z - 73*z**2 + 25*z**2 - 4*z**3.
-4*(z + 4)**3
Suppose 28 = -4*o - 32. Let y = 23 - o. Factor -14*r**3 - y*r**2 - 41*r**3 - 20*r**4 - 5*r + r**2 - 8*r**2 + 5.
-5*(r + 1)**3*(4*r - 1)
Let z(x) be the third derivative of x**6/300 - 71*x**5/75 + 139*x**4/15 - 184*x**3/5 - 2*x**2 + 258. Factor z(y).
2*(y - 138)*(y - 2)**2/5
Let f(k) be the second derivative of k**5/4 + 745*k**4/12 - 5*k**3/6 - 745*k**2/2 + 1066*k. Factor f(m).
5*(m - 1)*(m + 1)*(m + 149)
Let i(s) be the third derivative of s**5/420 + 5*s**4/3 + 19*s**2 + s. Factor i(j).
j*(j + 280)/7
Let t(w) = w**3 - 21*w**2 - 52*w + 1096. Let k be t(21). Solve 4*f**3 + 14*f - 6 - 1/2*f**k - 23/2*f**2 = 0 for f.
1, 2, 3
Let m = 112205/9 - 12467. Let x(l) be the first derivative of -m*l**3 + 1/2*l**2 + 2/3*l - 19. Determine q so that x(q) = 0.
-1/2, 2
Suppose 2*t**4 + 14*t**3 - 93*t**2 + 35*t**2 + 24*t**2 + 3*t + 15*t = 0. Calculate t.
-9, 0, 1
Suppose u = -2*c + 6 - 3, 8*c = u - 3. Let -2/11*s**4 + 0 + 12/11*s**u - 10/11*s**2 + 0*s = 0. What is s?
0, 1, 5
Let v(o) be the second derivative of 5*o**7/42 + 28*o**6/3 + 270*o**5 + 3240*o**4 + 9720*o**3 - 417*o. Factor v(c).
5*c*(c + 2)*(c + 18)**3
Let s = -154646 - -773236/5. Factor -12/5 + s*k**2 + 21/5*k.
3*(k + 4)*(2*k - 1)/5
Let z(h) be the second derivative of h**6/10 - 12*h**5/5 + 39*h**4/4 + 2*h**3 - 78*h**2 + 66*h - 6. Factor z(i).
3*(i - 13)*(i - 2)**2*(i + 1)
Suppose -475*k - 10434 = -16134. Suppose 1/2*a**2 - k*a + 72 = 0. What is a?
12
Solve -216/7 + 148/7*i - 20/7*i**2 = 0 for i.
2, 27/5
Solve -124*w**3 + 23 + 267*w**4 - 23 - 103*w**4 - 711*w**2 + 723*w**2 + 300*w**5 = 0 for w.
-1, 0, 3/25, 1/3
Suppose 2*p = 3*s + 33, 2*p = s - 2*p + 11. Let d = s - -16. Factor 6 - 15*x**5 - 42*x**3 + 48*x**2 - 27*x + 18*x**4 + 7*x**5 + d*x**5.
-3*(x - 2)*(x - 1)**4
Let d be ((-8)/20)/((-1)/20). Suppose -112 - 76 = -47*p. Factor -10*x**2 - 10*x**2 - d*x - 5*x**3 - 11*x**3 - 4*x**p.
-4*x*(x + 1)**2*(x + 2)
Let p(g) be the second derivative of g**6/240 - g**5/8 + 77*g**4/96 + 121*g**3/24 - g - 306. Factor p(k).
k*(k - 11)**2*(k + 2)/8
Solve -22/3*y**3 + 94*y**2 + 56/3 + 120*y = 0.
-1, -2/11, 14
Let p(x) be the second derivative of -x**5/20 - 23*x**4/24 + 149*x**3/12 + 20*x**2 - 2972*x. Suppose p(q) = 0. What is q?
-16, -1/2, 5
Suppose -2*g = 0, -2*d - 4*g + 55 = 3. Find h, given that -40*h**4 - 11*h**2 - 16 - 142*h**3 - d*h + 82*h + 50*h**5 + 31*h**2 = 0.
-1, 2/5, 2
Factor 724*a**2 + 262088*a + 94875856/3 + 2/3*a**3.
2*(a + 362)**3/3
Suppose -2*p - 47 = -4*r + p, r - 2*p - 18 = 0. Suppose 2*y + 2 = r. Factor 2*s**3 + 5*s**3 - 3*s**y - 4*s**5.
-4*s**3*(s - 1)*(s + 1)
Let a be 38/3 + 16/48. Suppose 8*f = a*f - 120. Determine q, given that -3 - f*q + 23 - q**2 + 5*q**2 = 0.
1, 5
Let v(q) be the third derivative of 2*q**6/15 - 223*q**5/420 + 55*q**4/84 + q**3/42 + 7*q**2 - 42*q. Factor v(w).
(w - 1)**2*(112*w + 1)/7
Let z(w) be the third derivative of 4/3*w**3 - 149*w**2 + 1/180*w**5 + 0*w - 7/36*w**4 + 0. What is a in z(a) = 0?
2, 12
Suppose -2915*j = 239*j + 183*j - 6674. Suppose 0 - 2*f**3 + 1/3*f**5 - 4/3*f**j + 1/3*f**4 + 8/3*f = 0. What is f?
-2, 0, 1, 2
Let u(a) be the third derivative of a**6/720 + a**5/15 - 58*a**2 - 3*a. Determine v so that u(v) = 0.
-24, 0
Let f = 5865 - 5862. Let k(p) be the first derivative of -6*p**f + 3*p**2 + 5/2*p**4 + 2*p + 17. Find h such that k(h) = 0.
-1/5, 1
Let n = 1802971/195 + -9246. Let t(q) be the second derivative of -7/39*q**3 + n*q**6 - 1/26*q**5 + 0 + 10*q + 2/13*q**2 + 3/26*q**4. Factor t(z).
2*(z - 2)*(z - 1)**3/13
Let t(g) be the first derivative of -222 + 6/35*g**5 - 108/7*g**2 + 60/7*g + 11*g**3 - 81/28*g**4. Find r, given that t(r) = 0.
1/2, 1, 2, 10
What is q in -749*q**3 + 25*q**4 + 320 + 789*q**3 - 5*q**5 - 2*q**4 + 2*q**4 - 220*q**2 - 160*q = 0?
-2, 1, 4
Factor 32*j**2 - 10*j**2 - 8*j**2 - 733445 - 4*j**2 - 3830*j - 15*j**2.
-5*(j + 383)**2
Let r(l) be the first derivative of -3*l**6/19 - 244*l**5/95 - 493*l**4/38 - 1024*l**3/57 + 12*l**2/19 + 288*l/19 - 860. What is m in r(m) = 0?
-6, -1, 4/9
Let o(b) = b**3 + 13*b**2 + 13*b + 14. Let g be o(-12). Suppose -154*v**3 - 85*v - 14*v**4 + 8*v**4 + 58*v**3 - 3*v**4 - 71*v + 84 - 255*v**g = 0. What is v?
-7, -2, 1/3
Let p(w) = w**3 + 15*w**2 + 18*w + 9. Let r be p(-13). Suppose -129*n = -r*n. Suppose -12/5*x + 2/5*x**3 + n + 2*x**2 = 0. Calculate x.
-6, 0, 1
Let z(o) = 5*o**4 + o**3 - 2*o**2 - o - 1. Let b(q) = -78*q**4 + 57*q**3 + 108*q**2 - 57*q - 60. Let l(k) = b(k) + 15*z(k). Factor l(n).
-3*(n - 25)*(n - 1)*(n + 1)**2
Let c(a) be the third derivative of a**6/120 + 7*a**5/30 + 13*a**4/8 - 4*a**3/3 - 3*a**2 - 25*a. Let h be c(-10). Factor 4/5*v - 3/5 - 1/5*v**h.
-(v - 3)*(v - 1)/5
Let o(x) = 2*x**2 + 4*x + 10. Let j(f) = f**2 + 2*f + 6. Suppose 23*v + 21 = 90. Let g(u) = v*o(u) - 5*j(u). Factor g(r).
r*(r + 2)
Let b = -1393 + 565. Let x = b - -3313/4. Factor 9 + x*c**2 + 3*c.
(c + 6)**2/4
Let z(v) be the first derivative of -v**7/2100 - v**6/150 - v**5/60 + v**3/3 + 43*v - 230. Let p(t) be the third derivative of z(t). Factor p(g).
-2*g*(g + 1)*(g + 5)/5
Let a = -54 + 55. Let r be (a - -5) + -3 + 3. Factor -4*u**2 - 16*u + 14 + r - 32.
-4*(u + 1)*(u + 3)
Let i(m) be the first derivative of 3*m**4/4 + 9*m**3 + 36*m**2 + 60*m - 491. Factor i(b).
3*(b + 2)**2*(b + 5)
Let n = -3717652/11 + 337972. Let -8/11*m - 10/11*m**2 + 2/11*m**3 + n = 0. Calculate m.
-2, 2, 5
Let m(i) be the third derivative of i**6/600 - 31*i**5/150 + 59*i**4/30 - 116*i**3/15 - 3*i**2 - 48. Suppose m(b) = 0. Calculate b.
2, 58
Let z(u) be the first derivative of 4*u**2 - 20 - 88*u - 2/33*u**3. Determine i so that z(i) = 0.
22
Let g = 1699/10256 - -14/641. Let y(r) be the third derivative of 3*r**2 + 1/2*r**3 + 1/40*r**5 + 0*r + 0 - g*r**4. Factor y(p).
3*(p - 2)*(p - 1)/2
Let c(n) be the third derivative of n*