, 281
Let g(a) be the third derivative of -a**5/15 + 237*a**4/2 + 1424*a**3/3 + 3293*a**2. Solve g(k) = 0 for k.
-1, 712
Suppose 5*r = -k - 5, 1803*r + 25 = 1798*r - 5*k. Let v(s) be the third derivative of -1/60*s**6 - 9*s**4 + r*s + 0 - 32*s**2 + 3/5*s**5 + 72*s**3. Factor v(o).
-2*(o - 6)**3
Factor 2672/17*c - 2/17*c**2 - 892448/17.
-2*(c - 668)**2/17
Let b be 0 + 12 + (-816)/102. Let t(a) be the second derivative of -1/4*a**4 + 1/30*a**6 - 1/20*a**5 + 1/6*a**3 + b*a + 0 + a**2. Suppose t(d) = 0. Calculate d.
-1, 1, 2
Let d(o) = -o**3 - o**2 + o - 3. Let k(u) = 8*u**3 - 14*u**2 - 80*u - 34. Let m(r) = 12*d(r) + 2*k(r). Factor m(l).
4*(l - 13)*(l + 1)*(l + 2)
What is k in -k**3 + 5*k - 210 + 75 - 32*k + 7*k**2 - 6*k + 2*k**3 = 0?
-9, -3, 5
Let h = -1516 + 10614/7. Let c(f) be the first derivative of 0*f - h*f**2 + 16 - 2/21*f**3. Factor c(z).
-2*z*(z + 2)/7
Factor -2112*y + 228216*y**3 + 41*y**2 + 11*y**2 - 276*y**2 - 228220*y**3.
-4*y*(y + 12)*(y + 44)
Let p(m) be the third derivative of -m**5/20 - 79*m**4/8 + 40*m**3 - 85*m**2 - 1. Factor p(d).
-3*(d - 1)*(d + 80)
Let z(q) be the first derivative of q**7/630 - q**6/120 + q**5/60 - q**4/72 + 8*q**2 - 4*q + 88. Let b(l) be the second derivative of z(l). Factor b(g).
g*(g - 1)**3/3
Let x be -212*6/(-144)*-6. Let y = -50 - x. What is i in -9*i**4 - 428*i**y + 4*i**5 - 3*i**2 + 437*i**3 - i**5 = 0?
0, 1
Suppose -2/3*z**2 + 80/3*z + 82/3 = 0. Calculate z.
-1, 41
Suppose 10686*q - 10539*q - 294 = 0. Factor -4/5 + 52/5*w - 169/5*w**q.
-(13*w - 2)**2/5
Let f be -4 + -1 + 2265/450. Let o(j) be the third derivative of -j**3 + 0*j - 1/6*j**4 + 0 + f*j**6 + 2/15*j**5 + 20*j**2 - 1/105*j**7. Factor o(p).
-2*(p - 3)*(p - 1)*(p + 1)**2
Let n = -1/21 - -62/861. Let x = 37/164 + n. Let -1/2 + x*l**2 + 1/4*l = 0. Calculate l.
-2, 1
Let k be 163/(9943/1342) - (16 + 3). Solve 12/7 - 34/7*z + 4/7*z**k + 18/7*z**2 = 0.
-6, 1/2, 1
Factor 73/6*x**2 + 1/6*x**3 + 12*x + 0.
x*(x + 1)*(x + 72)/6
Let b(z) = z**3 - 24*z**2 + 24*z - 19. Let u be b(23). Suppose -2*f - u*o = 8, -3*f + 5*f = 2*o + 10. Factor 8*r**2 - 21*r**2 - 30 + 8*r**f + 25*r.
-5*(r - 3)*(r - 2)
Suppose -69*m**3 + 37*m**5 - 168*m + 303*m**2 - 12*m - 40*m**5 - 51*m**4 = 0. What is m?
-15, -4, 0, 1
Suppose 78334*v - 78401*v + 268 = 0. Suppose -1/7*m**v + 68/7*m - 48/7*m**2 - 32/7 + 13/7*m**3 = 0. What is m?
1, 2, 8
Let k(d) be the third derivative of -16*d + 0 - 13/96*d**4 + 1/30*d**5 + 1/4*d**3 + 2*d**2 - 1/480*d**6. Factor k(m).
-(m - 6)*(m - 1)**2/4
Let i(d) = -4*d**4 + 38*d**3 + 286*d**2 - 460*d + 168. Let z(p) = -2*p**4 + 19*p**3 + 143*p**2 - 232*p + 84. Let y(h) = -6*i(h) + 14*z(h). Solve y(s) = 0.
-6, 1/2, 1, 14
Factor -1/6*y**2 + 19 + 13/6*y.
-(y - 19)*(y + 6)/6
Suppose 1828*q = 948*q - 2073*q + 8859. Determine i, given that -20/11*i - 6/11*i**5 - 16/11 - 2/11*i**4 + 18/11*i**2 + 26/11*i**q = 0.
-4/3, -1, 1, 2
Let p = -458 - -917/2. Let l(s) be the first derivative of -p*s**2 + 5 + 1/12*s**3 + 3/4*s. Suppose l(u) = 0. Calculate u.
1, 3
Find a such that 0 - 12/7*a**2 + 3/7*a**3 - 33*a = 0.
-7, 0, 11
Let g = 124 - 116. Factor 6*u**3 - 487 + 163 - 54*u**2 + 243*u + 5*u**3 - g*u**3.
3*(u - 12)*(u - 3)**2
Factor -2/3*m**2 - 2728448/3 - 4672/3*m.
-2*(m + 1168)**2/3
Let b be (-6)/(-126)*413 - (-17)/(-7)*7. Find f such that 13/3*f**2 + 1/3*f**4 + 2*f + 0 + b*f**3 = 0.
-6, -1, 0
Let n(r) be the third derivative of 3/2*r**4 + 0 + 75*r**2 - 1/20*r**5 - 11/2*r**3 + 0*r. Factor n(l).
-3*(l - 11)*(l - 1)
Let q be ((-10)/15)/(3*(3 - 528/162)). Factor -12/7*c - 1/7*c**4 - q*c**3 - 4/7 - 13/7*c**2.
-(c + 1)**2*(c + 2)**2/7
Let p(n) = n**2 + 1256*n - 1255. Let a be p(1). Suppose v = -g, -8*v = -3*v + 3*g. What is k in -7/6*k**5 + 0 + v*k**a + 0*k + 3/2*k**4 - 1/3*k**3 = 0?
0, 2/7, 1
What is x in -4*x**5 - 84 + 48*x - 9*x**4 - 29*x**4 + 207*x**2 - 57*x**3 - 85*x**4 + 13*x**5 = 0?
-1, 2/3, 1, 14
Let k be -49 - -89 - (6 - -31). Factor 3 + 9/2*y + 0*y**4 - 6*y**k - 3*y**2 + 3/2*y**5.
3*(y - 2)*(y - 1)*(y + 1)**3/2
Suppose -110 = 2*q + 3*n - 467, -5*q = 2*n - 898. Suppose 16*s - 11*s - q = 0. Suppose 4*t**2 + 6*t**4 + 3*t - s*t**3 + 38*t**4 + t - 16*t**5 = 0. What is t?
-1/4, 0, 1
Let s(i) be the third derivative of i**3 - 4*i + 0 + 1/360*i**6 - 1/24*i**4 - 1/45*i**5 + i**2. Factor s(l).
(l - 3)**2*(l + 2)/3
Let i = -84109/45 - -1869. Let q = i - -8/9. Determine z, given that 6/5*z - 2/5*z**2 - q = 0.
1, 2
Determine s, given that 9/2*s**2 - 9/2*s**3 + 33/2*s - 3/2*s**4 + 9 = 0.
-3, -1, 2
Let a(k) be the first derivative of k**7/140 - 7*k**6/180 + k**5/30 + 28*k**3/3 + 33. Let s(r) be the third derivative of a(r). Solve s(y) = 0 for y.
0, 1/3, 2
Let d(l) be the first derivative of l**7/42 + l**6/12 + l**5/12 - 31*l**2/2 + 158. Let t(s) be the second derivative of d(s). Factor t(q).
5*q**2*(q + 1)**2
Let r(i) be the second derivative of -5*i**7/252 + i**6/45 + i**5/8 - i**4/36 - 2*i**3/9 - 907*i. Solve r(t) = 0 for t.
-1, 0, 4/5, 2
Let b(m) be the second derivative of 53*m - 1/6*m**6 - 5/12*m**4 - 3/4*m**5 + 0 + 5*m**2 + 5/2*m**3. Determine r so that b(r) = 0.
-2, -1, 1
Suppose -3*w = -w - 6. Suppose 7177 - 7177 = -186*g. Factor 3/5*f**w - 3/5*f**5 + 3/5*f**2 - 3/5*f**4 + g + 0*f.
-3*f**2*(f - 1)*(f + 1)**2/5
Let w(t) be the third derivative of t**8/112 + 11*t**7/70 + 37*t**6/40 + 29*t**5/20 - 19*t**4/4 - 20*t**3 - 2154*t**2. Find g, given that w(g) = 0.
-5, -4, -2, -1, 1
Determine i so that 25/9 - 49/9*i**4 + 62/9*i + 8/3*i**2 - 50/9*i**3 - 4/3*i**5 = 0.
-25/12, -1, 1
Find f such that 23*f**3 - 102*f - 30*f**4 - 512 + 168*f**3 + 542*f**2 - 90*f + f**5 = 0.
-2, -1, 1, 16
Let x = 119697/1330 - 2699/38. Let q = -92/5 + x. Factor 4/7*p**2 + q*p**3 - 2/7*p - 2/7 - 2/7*p**4 - 2/7*p**5.
-2*(p - 1)**2*(p + 1)**3/7
Let i(l) be the third derivative of 133*l**2 + 0 + 7/48*l**6 + 0*l**4 - 1/84*l**7 + 0*l - 1/4*l**5 + 0*l**3. Factor i(c).
-5*c**2*(c - 6)*(c - 1)/2
Let s = 1795 - 1793. Let g(d) be the second derivative of 0*d**s - 19*d + 1/6*d**3 + 0 - 1/48*d**4. Factor g(z).
-z*(z - 4)/4
Suppose 2*n - 2 = 4*n. Let o be (-1 - -4 - -1) + n. Solve -9*j**2 - j**2 + 49*j**o + 2 - 5*j - 44*j**3 + 8 = 0.
-1, 1, 2
Let d(y) = 6*y - 2. Let f(o) = -4*o**2 - 394*o + 754. Let x(h) = -5*d(h) - f(h). Factor x(r).
4*(r - 2)*(r + 93)
Let i = 58 + -44. Let t(l) = l - 12. Let y be t(i). What is h in 4*h**y + 88 - 88 - 2*h**3 = 0?
0, 2
Let l(f) be the third derivative of f**5/12 + 1505*f**4 + 10872120*f**3 + 20*f**2 + 5*f + 3. What is s in l(s) = 0?
-3612
Let g = 2596/119 - 366/17. Determine j, given that 2/7*j**3 + 0 - g*j**5 + 4/7*j**4 - 4/7*j**2 + 0*j = 0.
-1, 0, 1, 2
Let l(s) be the first derivative of 14 + 5/4*s**4 - 10/3*s**3 - 35/2*s**2 - 20*s. Solve l(y) = 0 for y.
-1, 4
Suppose 1243*j - 555 = 1058*j. Suppose -l**2 + 1 - 1/3*l**j + 1/3*l = 0. Calculate l.
-3, -1, 1
Let y be (-5)/(-2) - (-51)/34. Factor 4*j**4 + 10*j**2 - 12 - 7*j**4 + j**y + 6*j**3 - 6*j + 4.
-2*(j - 4)*(j - 1)*(j + 1)**2
Suppose -c - 35*q = -31*q - 83, c = -24*q + 483. Suppose 3/2*l**c - 33/2*l**2 + 0 + 15*l = 0. Calculate l.
0, 1, 10
Let p(a) be the first derivative of a**4/4 + 19*a**3 + 207*a**2/2 - 265*a - 1697. Let p(s) = 0. Calculate s.
-53, -5, 1
Let y = -1/163955 + 7705893/1311640. Factor -y*w + 1/2*w**2 - 3/2.
(w - 12)*(4*w + 1)/8
Let x(u) be the second derivative of u**5/30 + 5*u**4/18 - 46*u**3/9 + 40*u**2/3 - 990*u. Factor x(s).
2*(s - 4)*(s - 1)*(s + 10)/3
Let k(r) be the first derivative of -32*r**7/105 + 4*r**6/15 - r**5/15 + 7*r**2 + 20. Let l(w) be the second derivative of k(w). Factor l(b).
-4*b**2*(4*b - 1)**2
Let k(a) be the first derivative of -a**4/14 + 4*a**3/3 + 7*a**2 + 68*a/7 + 874. Suppose k(y) = 0. What is y?
-2, -1, 17
Let t = 388 - 382. Factor -12*i**2 - 17*i**2 + 37*i**2 - t*i - 17*i**2.
-3*i*(3*i + 2)
Let j(i) = i**2 - i. Let u(o) = -26*o**2 + 1747*o + 739600. Let b(d) = 54*j(d) + 2*u(d). Factor b(s).
2*(s + 860)**2
Let v = -17154 - -1200751/70. Let i = 1/70 - v. Factor -3/7*j**4 + 0 + 3/7*j**2 - i*j + 3/7*j**3.
-3*j*(j - 1)**2*(j + 1)/7
Let c = 2402/5409 + 2/5409. Factor -8/9*i**3 + c*i**2 - 2/9*i**4 - 2 + 8/3*i.
-2*(i - 1)**2*(i + 3)**2/9
Let i = -2/2907 + 1948/14535. Let j(q) be the second derivative of 0 + 0*q**3 - 6*q - 4/25*q**5 + 0*q**2 - 1/15*q**6 + i*q**4. Factor j(g).
-2*g**2*(g + 2)