2 + 26/5*i.
-(i - 2)*(i + 1)*(i + 24)/5
Let r(c) be the third derivative of -c**6/30 + 11*c**5/15 + 19*c**4/2 + 30*c**3 + 18*c**2 - 3*c + 4. Factor r(a).
-4*(a - 15)*(a + 1)*(a + 3)
Let o(g) be the first derivative of -4*g - g**2 + 1/2*g**4 + 57 + 4/3*g**3. Factor o(z).
2*(z - 1)*(z + 1)*(z + 2)
Let u = -498037 + 498039. Factor 0 - 156/5*s**3 - 32/5*s**4 - 98/5*s - 2/5*s**5 - 224/5*s**u.
-2*s*(s + 1)**2*(s + 7)**2/5
Factor -15*o**2 - 162*o + 7/6*o**3 - 396 + 1/6*o**4.
(o - 11)*(o + 6)**3/6
Let d = 35169/4 + -35151/4. Factor -1/2*t**4 - 15/2*t**2 + 7/2*t + 0 + d*t**3.
-t*(t - 7)*(t - 1)**2/2
Suppose 1125 = -26*v + 51*v. Let q be (-24)/8 - v/(-2). Factor -9*o**4 - 18*o**2 - 6*o - 3/2*o**5 + 0 - q*o**3.
-3*o*(o + 1)**2*(o + 2)**2/2
Factor -32*i - 2/3*i**2 - 90.
-2*(i + 3)*(i + 45)/3
Let i be (-81)/(-3) - 2150/86. Let j(q) be the first derivative of 4/3*q**3 + i*q**2 - 1/9*q**4 - 24 + 8/9*q - 4/15*q**5. Suppose j(x) = 0. Calculate x.
-1, -1/3, 2
Factor -2/3*s**2 + 17/9*s + 14/9 - 7/9*s**3 + 2/9*s**4.
(s - 2)*(s + 1)**2*(2*s - 7)/9
Let k(h) = 25*h**3 - 7155*h**2 + 28260*h - 28520. Let u(z) = -z**3 + 15*z - 1. Let y(b) = -k(b) - 20*u(b). Factor y(j).
-5*(j - 1427)*(j - 2)**2
Let y(b) be the second derivative of b**9/3780 + b**8/210 + b**7/90 + b**4 - b**2/2 - 75*b. Let n(a) be the third derivative of y(a). Factor n(z).
4*z**2*(z + 1)*(z + 7)
Let s = -1167 - -1686. Suppose s*g - 500*g - 38 = 0. Factor 10*p**4 + 0 + 0*p + 25/2*p**3 + 5/2*p**g.
5*p**2*(p + 1)*(4*p + 1)/2
Let o(b) = -11*b**2 - 37*b - 339. Let h(k) = -5*k**2 - 10*k - 169. Let i(s) = -9*h(s) + 4*o(s). Factor i(n).
(n - 55)*(n - 3)
Let g(x) = 48*x**2 + 3*x - 18. Let p be g(2). Solve 265*n + p + 412*n**2 - 56*n**2 + 323*n**2 + 655*n + 125*n**3 + 546*n**2 = 0 for n.
-9, -2/5
Let j(k) be the second derivative of -k**7/21 + 2*k**6/15 + 19*k**5/5 - 74*k**4/3 + 179*k**3/3 - 70*k**2 + 1295*k. Determine x, given that j(x) = 0.
-7, 1, 2, 5
Let y be 2 + 2 + -9 + 3131464/(-136). Let p = y + 23038. What is z in -p + 64/17*z - 2/17*z**4 - 8/17*z**3 + 24/17*z**2 = 0?
-4, 2
Factor 0 + 8/5*n**2 + 0*n**4 + 6/5*n**3 + 3/5*n - 1/5*n**5.
-n*(n - 3)*(n + 1)**3/5
Solve 2/19*m**2 - 678/19*m + 2016/19 = 0.
3, 336
Let u be (-306)/(-78) + ((-10672)/(-21112) - 6/14). Suppose -1/2*f**u + 0 + 19/2*f**3 - 40*f**2 - 50*f = 0. What is f?
-1, 0, 10
Let v(c) be the second derivative of c**5/30 + 29*c**4/18 + 104*c**3/9 + 100*c**2/3 - 149*c. Determine u so that v(u) = 0.
-25, -2
Determine m so that -90750 - 2/15*m**2 - 220*m = 0.
-825
Let f = 2002273/5339416 - -1/667427. Find k such that 21/8*k**2 + 9/4*k - 9/8*k**3 - 9/8*k**4 + 0 + f*k**5 = 0.
-1, 0, 2, 3
Let h(a) be the first derivative of a**6/18 + 77*a**5/15 + 380*a**4/3 + 1444*a**3/9 + 671. What is l in h(l) = 0?
-38, -1, 0
Find i such that -58/7*i**4 - 190/7*i**2 + 0 - 64/7*i + 2/7*i**5 - 186/7*i**3 = 0.
-1, 0, 32
Let v = -341 + 345. Let b(o) be the third derivative of -1/1020*o**6 + 0*o - 1/68*o**v + 1/51*o**3 + 1/170*o**5 + 0 - o**2. Factor b(d).
-2*(d - 1)**3/17
Suppose 0 = -38*s + 33*s. Let c = -39824 + 39824. Factor -2/5*m**3 + 0*m + s + 2/5*m**4 + c*m**2.
2*m**3*(m - 1)/5
Suppose 2*t + 2*s + s = -7, 5*t - 5*s = 45. Let o(w) be the third derivative of 0*w - 20*w**2 + 1/70*w**5 + 0*w**3 + 0 - 1/420*w**6 - 1/42*w**t. Factor o(u).
-2*u*(u - 2)*(u - 1)/7
Suppose 0 = v - 8*v + 21. Let z be (v/(-27))/(12/(-54)). Factor 1 - 1/2*f**2 + z*f.
-(f - 2)*(f + 1)/2
Let -2*t**2 - 1/5*t**3 - 8/5 - 17/5*t = 0. Calculate t.
-8, -1
Let z be (-6583)/(-3178) - (-1)/(-14). Factor -2/11*v**4 + 2/11*v**z - 2/11*v**5 + 0 + 2/11*v**3 + 0*v.
-2*v**2*(v - 1)*(v + 1)**2/11
Let m = -69 + 93. Let 3*q**5 - q**5 + 108*q + 235*q**2 + m*q**3 - 6*q**5 - 451*q**2 + 20*q**4 + 324 = 0. What is q?
-3, -1, 3
Let m(d) = d**3 - 6*d**2 + 3*d - 13. Let s = -19 - -25. Let n be m(s). Suppose -j**3 + n*j**2 - 4*j**3 + 10*j**2 + 0*j**3 = 0. Calculate j.
0, 3
Let s = -922 + 19370/21. Let v(i) be the first derivative of -14 + 4/7*i + 5/7*i**2 + s*i**3 + 1/14*i**4. Factor v(d).
2*(d + 1)**2*(d + 2)/7
Let a(m) be the second derivative of -2/3*m**3 - 3*m**2 - 107*m - 1/18*m**4 + 0. Factor a(x).
-2*(x + 3)**2/3
Let k be (60 - (-99 - -162)) + (5/(-10) - (-11)/2). Find w such that -5/4*w**k - 7/4 - 13/4*w + 1/4*w**3 = 0.
-1, 7
Let k(z) = -z**3 + 22*z**2 - 3*z + 132. Let r be k(22). Suppose -r*d + 12*d**2 - 16*d**2 - 2*d**3 - 16*d**2 - 72 = 0. Calculate d.
-4, -3
Let y(l) = -1025*l + 4102. Let o be y(4). Let 2/7 + 17/7*v - 19/7*v**o = 0. What is v?
-2/19, 1
Let x(w) be the first derivative of 83*w**4/8 - 172*w**3/3 + 95*w**2 - 24*w - 4655. Determine p, given that x(p) = 0.
12/83, 2
Let g(u) be the third derivative of -u**6/80 - 13*u**5/8 + 33*u**4/8 - 245*u**2 - 4*u. Let g(m) = 0. Calculate m.
-66, 0, 1
Let n(o) = -11*o - 418. Let f be n(-38). Let a(j) be the second derivative of f + 7/6*j**3 + 3/2*j**2 + 1/20*j**5 - 27*j + 5/12*j**4. Factor a(g).
(g + 1)**2*(g + 3)
Let w(g) = -g**2 - g - 6. Let b(f) = -4*f**2 + 4*f - 84. Let o(a) = -3*b(a) + 21*w(a). Determine i so that o(i) = 0.
-6, 7/3
Let z(q) = -40 - 124*q - 14 - 93 + 26. Let p be z(-1). Factor -4/9*d + 2/9*d**2 + 0 + 10/9*d**4 + 16/9*d**p.
2*d*(d + 1)**2*(5*d - 2)/9
Suppose 6 = -16*f + 22*f. Suppose 5*s - 11 = r, 0 = -4*s + 5*r - f + 14. Let -4/9 - 22/9*g - 8/3*g**s = 0. What is g?
-2/3, -1/4
Let b(h) be the first derivative of -5/12*h**4 + 5*h**2 - 55/18*h**3 + 30*h + 1/6*h**5 - 54. Factor b(a).
5*(a - 3)**2*(a + 2)**2/6
Determine b so that -78/7*b**2 + 2/7*b**4 - 36*b + 8/7*b**3 + 0 = 0.
-7, -3, 0, 6
Let t(z) be the first derivative of z**4/4 + 4*z**3/3 + 3*z**2/2 + 3*z + 20. Let c be t(-3). Let 2*i**4 + 52*i**c - i**2 + i**2 - 50*i**3 = 0. What is i?
-1, 0
Let a be (-24212)/39429*(-126)/(-84). Let d = 2/1011 - a. Let -2/13*n**5 + d*n**3 + 6/13*n + 0 + 16/13*n**2 + 0*n**4 = 0. Calculate n.
-1, 0, 3
Suppose -5*i - k + 372 = 101, -3*k - 12 = 0. Factor 12*z + i - 143 + 51 + 53 + 2*z**2.
2*(z + 2)*(z + 4)
Let -13*l - 1/4*l**5 - 6*l**4 + 0 + 6*l**2 + 53/4*l**3 = 0. Calculate l.
-26, -1, 0, 1, 2
Let m(y) be the first derivative of 13/9*y**2 + 54 + 1/27*y**3 + 25/9*y. Find f, given that m(f) = 0.
-25, -1
Let c(s) = -s**3 + 8*s**2 + 10*s - 2. Let y be c(9). Suppose j**3 + 189 - y*j + 2*j**2 + 189 - 374 = 0. Calculate j.
-4, 1
Let q be 1/(-8) - ((-80)/(-32) + (-44)/16). Let n(d) be the first derivative of -1/12*d**3 + q*d**2 + 0*d + 11. Suppose n(g) = 0. Calculate g.
0, 1
Suppose 6*g - 8*g = -104. Find c such that -111*c**4 + 24*c**2 + g*c**4 + 53*c**4 - 3*c**3 + 12*c = 0.
-2, -1/2, 0, 2
Suppose -4 = -2*j - o, -3*j + 11*o + 6 = 14*o. Determine v, given that -v**5 - 6*v**j - 35 - 11*v**3 - 7*v**4 + 35 + v**2 = 0.
-5, -1, 0
Suppose 2*x - 11 = -5*p, 7 = 4*x + 3*p - 8. Suppose 0*i + 119 = 5*y - x*i, 5*y = 2*i + 121. Factor -11 + 24*n**2 - 9 - 29*n**2 + y*n.
-5*(n - 4)*(n - 1)
Let w(q) be the first derivative of 15*q**5 - 15*q**4/4 - 21*q**3 + 27*q**2/2 + 516. Factor w(f).
3*f*(f + 1)*(5*f - 3)**2
Let a = 805 + -800. Let 271*r**2 + 643*r**4 + 84*r**2 + 1 + 1321*r**3 + 765*r**4 - 41*r + 484*r**a = 0. What is r?
-1, 1/22
Suppose -62*b + 4671 + 2769 = 0. Let q be -12*((-46)/b + (-6)/(-24)). Factor -232*p**2 - 800*p**4 - 158/5*p + 250*p**5 - 740*p**3 - q.
2*(p - 4)*(5*p + 1)**4/5
Let w(g) be the third derivative of -g**6/90 - 11*g**5/30 - 5*g**4/3 + 115*g**3/6 + g**2 + 56*g. Let r(p) be the first derivative of w(p). Factor r(i).
-4*(i + 1)*(i + 10)
Factor 440*g**2 + 3*g**3 + 13690 + g**3 - 1444*g - 12722 + 32*g**2.
4*(g - 2)*(g - 1)*(g + 121)
Determine d so that 82/9*d**3 + 0*d - 80/9*d**2 - 2/9*d**4 + 0 = 0.
0, 1, 40
Let l(b) = 11*b**2 - 30*b + 2. Let r be l(-6). Factor 21*d - 993 + 495 + r - 5*d**2 - 96*d.
-5*(d - 1)*(d + 16)
Let p(q) be the third derivative of -q**8/210 - q**7/525 + 11*q**6/25 + 29*q**5/30 - 53*q**4/15 - 4*q**3 - 34*q**2 - 96*q + 1. What is x in p(x) = 0?
-5, -2, -1/4, 1, 6
Let d = -50966 - -4281253/84. Let h = d - -20/21. Solve 3/4*a - 3/4*a**3 + h - 9/4*a**2 = 0 for a.
-3, -1, 1
Let r be 2*(3 - (-1230)/12). Factor 180*j**2 + 5*j + r*j**3 - 6*j - 886*j**3 - 11*j.
-3*j*(15*j - 2)**2
Suppose 4*b - h - 39 = 0, -2*b - 5*h + 17 = -8. Let q be ((-6)/b)/(49/(-245)). Determine m so that -7/3*m**4 - 4/3*m + 0 + 3*m**q + 4*m**2 = 0.
-1, 0, 2/7, 2
Let u(t) be the s