+ 98/9*r**3 + 8/3 + 350/9*r**2 = 0.
-3, -2/7
Suppose -q + 294 = 41*q. What is t in 1 + 3 - 3 - 10*t - q - t - 6*t**2 - t**3 = 0?
-3, -2, -1
Let a be (-2)/(-129) - 25913512/(-4826406). Factor -a*k**2 - 98/13*k + 2*k**3 + 0 - 2/13*k**4.
-2*k*(k - 7)**2*(k + 1)/13
Let r(v) = -2*v**3 - 4*v**2 - v + 3. Let s be r(-2). Suppose -3*m - s*m**4 + 150 - 140 - 5*m**2 - 15*m**3 + 14*m + 4*m = 0. Calculate m.
-2, -1, 1
Let r(t) be the first derivative of 0*t - 1/6*t**4 + 1/30*t**5 - 15/2*t**2 - 2 + 1/3*t**3. Let i(n) be the second derivative of r(n). Factor i(f).
2*(f - 1)**2
Let c be (57 + 5882/(-102))/(1*5/(-42)). Factor c*g**4 + 36/5*g**3 + 0 + 8/5*g**2 + 0*g.
4*g**2*(g + 1)*(7*g + 2)/5
Let r(z) = -z**2 + 9*z - 8. Let a be r(8). Suppose a = -2*i - 0*i + 6. Factor 24*h**2 - 10*h - 48*h**2 - 5*h**i + 9*h**2.
-5*h*(h + 1)*(h + 2)
Let u = -1/177 + 1244/885. Let f = -846 + 848. Find k such that u*k - 49/10 - 1/10*k**f = 0.
7
Let i(l) be the second derivative of -l**4/6 - 5512*l**3/3 - 7595536*l**2 - 10169*l + 1. Factor i(k).
-2*(k + 2756)**2
Let c(m) be the second derivative of -m**6/135 + 7*m**5/90 - 5*m**4/18 + 13*m**3/27 - 4*m**2/9 - 3*m + 5. Factor c(r).
-2*(r - 4)*(r - 1)**3/9
Factor 0*n + 2/7*n**3 + 0 + 10*n**2.
2*n**2*(n + 35)/7
Suppose 0 = -3*b + 3*d + 4695, -5*b - 2469 + 10291 = -2*d. Determine r, given that -2*r**4 + 4*r**2 + b*r - 2 - 1564*r = 0.
-1, 1
Let k(d) = -7*d**4 + 86*d**3 - 413*d**2 + 334*d - 2. Let y(i) = 16*i**4 - 173*i**3 + 827*i**2 - 670*i + 5. Let t(a) = 5*k(a) + 2*y(a). Factor t(l).
-3*l*(l - 22)*(l - 5)*(l - 1)
Let m(p) = 62*p + 2360. Let o be m(-38). Let r(s) be the first derivative of -3*s**2 + 21 + s**3 + 3/4*s**o + 0*s. Find w, given that r(w) = 0.
-2, 0, 1
Solve -584/5*y + 4416/5 + 4/5*y**2 = 0 for y.
8, 138
Let p = 266999/105 - 17087/15. What is n in 2/7*n**4 + 102/7*n**3 + p*n + 1734/7*n**2 + 0 = 0?
-17, 0
Let h be 602*-12*(-8)/336. Let o = h - 169. Solve c**2 - c**4 + 1/3*c**5 + 0 - 2/3*c + 1/3*c**o = 0 for c.
-1, 0, 1, 2
Let -214*o**3 - 8960 - 4*o**4 - 1872*o**2 + 3858*o - 13302*o + 2468*o + 26*o**3 = 0. What is o?
-35, -4
Let h(d) = 21*d**2 + 9 - 12 + 7*d + 29*d**2 - 51*d**2. Let p be h(6). Factor 4/5*x**2 + 0 - 2/5*x**p - 2/5*x.
-2*x*(x - 1)**2/5
Let v(b) = -4*b**2 - b + b**2 - 2*b**3 - 5*b. Suppose 11*j - 22*j = -66. Let p(l) = l**3 + l**2 + 3*l. Let w(k) = j*v(k) + 10*p(k). Factor w(c).
-2*c*(c + 1)*(c + 3)
Let t(q) = q + 29. Let y be t(-29). Let d be 3/21 + 128/35 + y. Factor 2/5*f**4 - 6/5*f**3 - d*f - 6/5 + 1/5*f**5 - 4*f**2.
(f - 3)*(f + 1)**3*(f + 2)/5
Let h = 18417/24940 + 72/6235. Find t such that -5/4*t**3 - h*t + 0 - 1/4*t**4 - 7/4*t**2 = 0.
-3, -1, 0
Suppose -o - 5*s - 986 + 918 = 0, 4*s + 56 = 0. Solve 21/2*t - 9/2*t**3 + 3*t**o + 3 = 0.
-1, -1/3, 2
Let y(i) be the second derivative of -1/36*i**4 - 35/9*i**3 + 60*i - 2 - 1225/6*i**2. Factor y(d).
-(d + 35)**2/3
Let c be (5 + -42*(-36)/40)*8. Let x = c + -342. Factor x*a**3 - 2/5*a**2 - 4/5*a + 0.
2*a*(a - 2)*(a + 1)/5
Let o(s) = 2*s**3 + 130*s**2 - 141*s + 110. Let d(g) = -g**3 - 69*g**2 + 71*g - 54. Let b(c) = 13*d(c) + 7*o(c). Suppose b(f) = 0. Calculate f.
-17, 2
Let s(d) be the second derivative of d**5/20 + 565*d**4/36 + 31*d**3/3 - 188*d**2/3 - 6*d - 64. Determine w so that s(w) = 0.
-188, -1, 2/3
Let a(m) be the first derivative of -8 - 1/720*m**6 + 0*m**2 + 1/120*m**5 + 0*m + 0*m**4 + 9*m**3. Let x(u) be the third derivative of a(u). Factor x(z).
-z*(z - 2)/2
Let b(l) = -l**3 + 86*l**2 - 1619*l - 1681. Let h(a) = a**2 - 4*a. Suppose 9*f - 51 = -15. Let y(i) = f*b(i) - 20*h(i). Suppose y(t) = 0. Calculate t.
-1, 41
Let u(b) be the first derivative of b**5/15 + 101*b**4/2 + 90589*b**3/9 - 61610*b**2 + 372100*b/3 + 2213. Factor u(k).
(k - 2)**2*(k + 305)**2/3
Let l(h) = h**3 + 5*h**2 - 14*h + 2. Let c be l(-7). Suppose f = -5*a + 14, -c*a + 3*a + 2 = f. Factor -3*o**3 - 13*o**2 - 10*o**2 + 3*o + 3*o**f + 20*o**2.
3*o*(o - 1)**2*(o + 1)
Let p be ((-12)/(-15))/(12/360). Suppose -2*q - 1 = n, 0 = 2*q - 5*n + n - p. Let 1/4*w**3 - 1/4*w**q + 0 + 0*w = 0. Calculate w.
0, 1
Let x(y) be the third derivative of -y**7/1890 - 11*y**6/1080 - y**5/60 + 11*y**4/216 + 5*y**3/27 + y**2 - 48. Factor x(k).
-(k - 1)*(k + 1)**2*(k + 10)/9
Let w(k) be the third derivative of k**6/30 - 269*k**5/15 - 363*k**4/2 - 546*k**3 - k**2 + 84*k - 3. Factor w(s).
4*(s - 273)*(s + 1)*(s + 3)
Let m(i) be the second derivative of 4*i**2 - 1/10*i**5 - 1/2*i**4 + 0*i**3 - 24*i + 1. Factor m(q).
-2*(q - 1)*(q + 2)**2
Let o(x) = 2*x**2 - 803*x - 3242. Let c be o(-4). Factor 3/5*i**c + 3*i + 12/5.
3*(i + 1)*(i + 4)/5
Let v be (-61 - -5)*1008/(-2688). Factor -57/7*y**3 - v*y + 48/7 + 3/7*y**4 + 153/7*y**2.
3*(y - 16)*(y - 1)**3/7
Let p be (-4)/(-42)*3 + (-55041)/(-61005). Let y = 1/83 + p. Find n such that 14/5*n**2 + 2*n**3 + y*n + 0 + 2/5*n**4 = 0.
-3, -1, 0
Let r(b) be the third derivative of 1/210*b**7 + 1/30*b**6 - 1/2*b**3 - 8*b**2 + 1/30*b**5 + 0*b - 5 - 1/6*b**4. Suppose r(m) = 0. What is m?
-3, -1, 1
Let r(w) be the first derivative of -4*w**3/21 - 26*w**2/7 + 192*w/7 + 4532. Find l, given that r(l) = 0.
-16, 3
Let d(b) be the third derivative of 1/40*b**5 + 0 + 0*b**3 - 2*b**2 + 3/8*b**4 + 11*b. Factor d(t).
3*t*(t + 6)/2
Let a(b) = -12*b**4 - 99*b**3 + 183*b**2 - 7*b - 7. Let k(z) = -z**4 - 2*z**3 - z**2 - z - 1. Let j(m) = a(m) - 7*k(m). Find s, given that j(s) = 0.
-19, 0, 2
Let z = -338/171 + 374/171. Let y(u) be the first derivative of 2/19*u**4 + 23 + 4/19*u**2 - z*u**3 - 2/95*u**5 - 2/19*u. Factor y(i).
-2*(i - 1)**4/19
Suppose -12/7*q + 4/7*q**4 + 12/7*q**3 - 116/7*q**2 + 16 = 0. What is q?
-7, -1, 1, 4
Let m(d) = 4*d**2 - 2*d. Let j(g) = -75*g**2 - 726*g + 763. Let p(u) = -5*j(u) - 95*m(u). Suppose p(y) = 0. What is y?
1, 763
Let v = -757253 - -757255. Determine y so that 74/7*y - 38/7 + 4/7*y**v = 0.
-19, 1/2
Let p(o) be the second derivative of o**6/30 + o**5/36 - 11*o**4/54 + 4*o**3/27 - 12*o - 17. Factor p(d).
d*(d - 1)*(d + 2)*(9*d - 4)/9
Suppose -583 + 175 = -101*x - 35*x. Factor -6/7*b**2 + 8/7 + 18/7*b**x - 16/7*b.
2*(b + 1)*(3*b - 2)**2/7
Solve 32/7 + 300/7*r**2 - 184/7*r - 92/7*r**4 + 24/7*r**5 - 80/7*r**3 = 0 for r.
-2, 1/3, 1/2, 1, 4
Factor 2/7*l**3 + 12081366/7*l + 8514/7*l**2 + 5714486118/7.
2*(l + 1419)**3/7
Let z = -10573 - -10573. Let s(q) be the first derivative of 27 + z*q - 2/21*q**3 + 1/28*q**4 + 1/14*q**2. Find v such that s(v) = 0.
0, 1
Factor 1/5*f**2 - 9*f + 0.
f*(f - 45)/5
Let l(a) be the second derivative of 15*a**7/14 - a**6/4 + a**5/40 + a**4/12 + 5*a**3/2 + 2*a + 3. Let f(j) be the third derivative of l(j). Factor f(i).
3*(30*i - 1)**2
Let t = -8/8939 - -724075/17878. Suppose h - 9 = -0*h. Factor 1/2*v**2 + h*v + t.
(v + 9)**2/2
Let y(u) be the first derivative of u**5/5 + 35*u**4/4 - 569*u**3/3 + 2565*u**2/2 - 3600*u - 8633. Factor y(t).
(t - 5)**2*(t - 3)*(t + 48)
Let a(q) be the first derivative of -q**5/4 + 10*q**4/3 - 65*q**3/6 + 15*q**2 + 15*q - 85. Let l(d) be the first derivative of a(d). Solve l(v) = 0.
1, 6
Suppose -53 + 118 - 119*i - 194 + 139*i**2 + 119*i**3 - 10*i**4 = 0. Calculate i.
-1, 1, 129/10
Let m(u) = u**3 + 6*u**2 - 9*u - 13. Let v be m(-8). Let c = 77 + v. Solve o + 3*o - c*o**2 + 13*o**2 - 8*o**2 - o**3 = 0.
-4, 0, 1
Let g(v) be the third derivative of -21/10*v**4 + 0*v - 250*v**2 + 1/100*v**5 + 882/5*v**3 + 0. Factor g(w).
3*(w - 42)**2/5
Find w, given that 5*w**3 - 26*w - 6 - 96*w - 2*w**3 + 109*w - 2*w**3 + w**4 - 7*w**2 = 0.
-2, -1, 3
Let p be 553/3239*41 - 3/(-15). Factor -12*b**2 + p*b + 0 - 39/5*b**3.
-3*b*(b + 2)*(13*b - 6)/5
Let s be 4/((-28)/203)*-1*1. Solve -245*y**4 + s*y**3 + 74*y**3 + 105*y - 28*y**3 - 18 + 233*y**4 - 150*y**2 = 0.
1/4, 1, 2, 3
Find k, given that -76/3 + 2/3*k**2 - 74/3*k = 0.
-1, 38
Solve 85/4*y + 5/4*y**2 + 75/2 = 0.
-15, -2
Let h(b) be the second derivative of b**5/240 - b**4/16 + 37*b**2/2 - b + 1. Let l(j) be the first derivative of h(j). Factor l(k).
k*(k - 6)/4
Let s = 72514 - 72512. Find k, given that -32/7 + 44/7*k + 6/7*k**s = 0.
-8, 2/3
Let u be 223741/(-140) + 28/20. Let x = 1597 + u. Factor -1/4*h**3 + x*h - 1/4*h**4 + 0 + 1/4*h**2.
-h*(h - 1)*(h + 1)**2/4
Let s be (-40)/(-70)*9/(45/140). Let -4/3*j**2 - 40/3*j + 2/3*j**3 - s = 0. Calculate j.
-2, 6
Factor 4/7*u**4 + 0 + 120