*q + 1/3*q**2 + 73008.
(q + 468)**2/3
Let x(l) be the third derivative of -l**6/24 + 95*l**4/24 - 25*l**3 - 6*l**2 - 39. Factor x(c).
-5*(c - 3)*(c - 2)*(c + 5)
Let s(q) = -2*q**4 + q**3 + 3*q - 2. Let t(z) = 4*z**4 - 35*z**3 - 110*z**2 + 135*z + 6. Let d(a) = -3*s(a) - t(a). Let d(o) = 0. Calculate o.
-9, -8, 0, 1
Suppose -22 = 11*t - 55. Factor -1558*g**2 + g**t - 3*g**3 + 1560*g**2.
-2*g**2*(g - 1)
Let d = -13 + -15. Let l be (-10)/55 + (d/88 - -1). Find x, given that -1/6*x - 1/3 + l*x**2 - 1/6*x**4 + 1/6*x**3 = 0.
-1, 1, 2
Let s = 11/315 - 1/140. Let d(g) be the third derivative of -2/9*g**3 + 26*g**2 - 1/315*g**7 + s*g**4 - 1/180*g**6 + 1/30*g**5 + 0 + 0*g. Solve d(m) = 0 for m.
-2, -1, 1
Find o, given that -1/3*o**4 - 20449/9 - 20068/3*o**2 - 854/9*o**3 + 27170/3*o = 0.
-143, 1/3, 1
Factor 436/3 - 2/3*w**2 + 434/3*w.
-2*(w - 218)*(w + 1)/3
Find u, given that -286/3 - 1/3*u**3 - 431/3*u - 146/3*u**2 = 0.
-143, -2, -1
Let n = -406 + 416. Suppose -14 = -n*c + 16. Factor -3/7*j**c + 0 + 1/7*j**5 + 2/7*j + 1/7*j**4 - 1/7*j**2.
j*(j - 1)**2*(j + 1)*(j + 2)/7
Let u(j) = j**2 + 6*j + 11. Let i be u(-3). Suppose 5*t - 18 = -i*p + 52, t + 3*p - 1 = 0. Factor 2*h + 24*h**2 + 18*h + t*h + 3*h**3 + 12*h.
3*h*(h + 4)**2
Let z(y) be the third derivative of -y**7/420 + 13*y**6/80 + 41*y**5/120 - 13*y**4/16 - 10*y**3/3 - 1183*y**2. Solve z(j) = 0 for j.
-1, 1, 40
Let -105/2*j - 1/2*j**2 + 53 = 0. What is j?
-106, 1
Let u(a) = -33*a + 27*a**2 + 8*a**3 - 27*a**3 + 35*a. Let k(g) = 5*g**3 - 7*g**2. Let w(q) = 22*k(q) + 6*u(q). Solve w(o) = 0 for o.
-1, 0, 3
Suppose 12*d - 11 = -191. Let c be 12/150*d/(-2). Let -c - 3/5*l**2 - 6/5*l = 0. Calculate l.
-1
Determine j so that 20344/9*j - 4/9*j**2 - 25867396/9 = 0.
2543
Let q(l) be the second derivative of 0*l**2 - 5*l - 1 + 7/13*l**3 + 1/78*l**4. Factor q(t).
2*t*(t + 21)/13
Suppose -2*x - 2*u - 32 = -30, 0 = 4*x - 3*u - 31. Let h be (-8 + 1)/(-14)*x. Suppose 56/19*q + 138/19*q**h + 8/19 + 50/19*q**4 + 140/19*q**3 = 0. What is q?
-1, -2/5
Factor -321*l - 92*l**4 - 128*l + 57*l + 272*l**2 - 40*l**3 + 90*l**4 + 200 - 38*l**2.
-2*(l - 2)**2*(l - 1)*(l + 25)
Let c be (-1 + 1)/((10 - 48) + 35). Factor -2/13*q**3 + 2/13*q - 2/13*q**2 + 2/13*q**4 + c.
2*q*(q - 1)**2*(q + 1)/13
Let y(v) be the first derivative of -28*v**6 + 524*v**5/5 - 132*v**4 + 196*v**3/3 - 12*v**2 + 2785. Solve y(r) = 0 for r.
0, 2/7, 1/3, 1, 3/2
Let k(o) = -16*o**3 - 12*o**2 + 19*o - 14. Let j be k(-10). Factor -59*w**2 - 25*w**2 - 2352*w - w**3 - 7356 - j.
-(w + 28)**3
Let t = 553 + -554. Let g be 3/18*(-2 + (-5)/t). Factor 2 - 3/2*s**2 - g*s**3 + 0*s.
-(s - 1)*(s + 2)**2/2
Find n, given that 0 - 1/2*n**5 - 10*n**3 - 4*n**4 - 8*n**2 + 0*n = 0.
-4, -2, 0
Let h(c) be the first derivative of -5/78*c**4 - 1/130*c**5 + 13*c - 18 - 4/39*c**3 + 0*c**2. Let z(v) be the first derivative of h(v). Factor z(a).
-2*a*(a + 1)*(a + 4)/13
Let t(c) be the first derivative of 6*c**5/5 - 935*c**4/2 + 49688*c**3 - 259644*c**2 - 189728*c + 10071. What is z in t(z) = 0?
-1/3, 4, 154
Let o(n) be the first derivative of -2/85*n**5 + 4/17*n**4 + 0*n**3 + 0*n**2 + 0*n - 7. Factor o(h).
-2*h**3*(h - 8)/17
Solve 1664/17*i + 7790/17*i**2 - 722/17*i**3 + 88/17 = 0.
-2/19, 11
Let u = 31 - 28. Suppose -151 = -u*l + 35. Factor -14 - 5*s**3 - 4 - 45*s**2 - l*s + 5*s**4 + 7*s - 2.
5*(s - 4)*(s + 1)**3
Let j(p) = 4*p**5 + 2*p**3 + p**2 - 1. Let n(c) = 25*c**5 - 71*c**4 + 345*c**3 - 183*c**2 - 594*c - 6. Let s(h) = 30*j(h) - 5*n(h). Let s(k) = 0. Calculate k.
-1, 0, 3, 66
Let g(s) = s**2 + 88*s - 338. Let x be g(4). Let p(y) be the first derivative of x - 15/2*y**2 - 1/4*y**4 - 3*y**3 - 7*y. Suppose p(c) = 0. What is c?
-7, -1
Solve 196/5 + 194/5*f**2 + 391/5*f - 1/5*f**3 = 0 for f.
-1, 196
Let y(n) be the first derivative of -n**5/35 + n**3/7 - n**2/7 - 559. Factor y(a).
-a*(a - 1)**2*(a + 2)/7
Let m(q) = 6*q**3 + 918*q**2 + 103950*q - 320186. Let v(c) = -c**3 + 5. Let x(h) = m(h) + 4*v(h). Factor x(d).
2*(d - 3)*(d + 231)**2
Let i(g) be the first derivative of 2*g**6/3 - 44*g**5/5 + 42*g**4 - 256*g**3/3 + 64*g**2 - 847. What is w in i(w) = 0?
0, 1, 2, 4
Factor 304/5 - 144/5*l - 4/5*l**2.
-4*(l - 2)*(l + 38)/5
Factor -732*r**5 - 44*r**4 - 3645*r + 1467*r**5 - 7*r**3 - 736*r**5 + 12*r**4 - 1944*r**2 - 371*r**3.
-r*(r + 5)*(r + 9)**3
Let u = -50188 - -50191. Solve -9/4*q - 7/2*q**u + 3/2*q**4 + 1/2 + 4*q**2 - 1/4*q**5 = 0.
1, 2
Factor 2*o**4 + 44*o - 16*o**3 + 3146*o**2 + 4*o - 6*o**4 - 3138*o**2 - 36.
-4*(o - 1)**2*(o + 3)**2
Suppose 68*q - 4*g - 24 = 66*q, g - 12 = -4*q. Factor 0 + 4/7*x**3 + 0*x**q - 2/7*x + 0*x**2 - 2/7*x**5.
-2*x*(x - 1)**2*(x + 1)**2/7
Let f(r) = 2*r**5 - r**3 - r - 3. Let y(g) = 17*g**5 + 21*g**4 - 22*g**3 - 21*g**2 + 5*g + 9. Let m(h) = 3*f(h) + y(h). Find u such that m(u) = 0.
-1, 0, 2/23, 1
Let l(i) be the first derivative of 2*i**3/3 - 310*i**2 + 48050*i + 1091. Solve l(m) = 0.
155
Let t be (1 - 0 - 1)/1. Let p be -45 - (-16 + -560)/12. Suppose 2/5*s**p + t + 4/5*s - 6/5*s**2 = 0. Calculate s.
0, 1, 2
Let f(v) be the first derivative of v**4/24 - 85*v**3/9 + 337*v**2/12 - 28*v + 393. Find m, given that f(m) = 0.
1, 168
Let d(f) be the first derivative of -f**3/24 - 311*f**2/16 + 315*f/2 + 3274. Let d(u) = 0. Calculate u.
-315, 4
Let j(o) be the third derivative of o**6/30 - 117*o**5/5 + 13689*o**4/2 - 1067742*o**3 - 8*o**2 - 12*o. Determine x so that j(x) = 0.
117
Let v(s) = 26*s**2 - 215*s + 23. Let t be v(13). Let d = -11346/7 + t. Find y such that -2*y**3 + 0*y + 0 + 4/7*y**2 - d*y**4 = 0.
-2, 0, 1/4
Let d be 2 + 1*-3 - (-4 + 61 + -58). Let 5/2*y**5 + 0*y - y**2 + y**4 + d - 5/2*y**3 = 0. Calculate y.
-1, -2/5, 0, 1
Let m(q) be the first derivative of q**3/15 + 23*q**2/10 + 76*q/5 - 176. Find z such that m(z) = 0.
-19, -4
Suppose 74*p + 7939570*p**2 - 7939567*p**2 - 14*p = 0. Calculate p.
-20, 0
Let i be 8/(-6) - (2/(-20) - 109804/33960). Solve 26/11*z**3 + 14/11*z + 2/11 + 8/11*z**4 + 30/11*z**i = 0.
-1, -1/4
Let p(o) be the second derivative of -o**7/210 + o**6/45 - o**5/30 - o**3/3 + 13*o**2 + 95*o. Let v(i) be the second derivative of p(i). Solve v(b) = 0 for b.
0, 1
Suppose -26*a + 9*a = 85. Let v(q) = -4*q**2 - 6*q. Let d(j) = j**2. Let w(o) = a*d(o) - v(o). What is g in w(g) = 0?
0, 6
Find v, given that -99*v**2 - 12*v**2 - 960*v + 312*v**2 - 4*v**3 - 85*v**2 + 2448 = 0.
6, 17
Let l(i) be the second derivative of i**4/18 + 32*i**3 + 287*i**2/3 + 1588*i + 1. Factor l(n).
2*(n + 1)*(n + 287)/3
Let q(r) be the first derivative of 51/2*r - 66 - 3/8*r**4 + 19/2*r**3 - 105/4*r**2. Solve q(a) = 0 for a.
1, 17
Let c(x) be the first derivative of 2*x**5/65 - 4*x**4/13 + 4*x**3/13 + 72*x**2/13 - 270*x/13 - 548. Find v such that c(v) = 0.
-3, 3, 5
Factor 8*o**3 + 20*o**2 - 40 - 51 - 23*o - 29*o - 29.
4*(o + 2)*(o + 3)*(2*o - 5)
Solve -b**2 + 52*b**3 - 25*b**4 + 26 - 1/2*b**5 - 103/2*b = 0.
-52, -1, 1
Let f = -37 + 39. Suppose 2*i - 10 = 0, -2*l + 14 = -0*l + f*i. Suppose 12 - 7*d**l - 5*d**2 + 8*d**2 + 2*d**2 - 10*d = 0. What is d?
-6, 1
Let q(u) = 56*u**2 + 971*u + 2865. Let f be q(-3). Factor -f*h + 722/3 - 4/3*h**3 - 50*h**2.
-2*(h + 19)**2*(2*h - 1)/3
Let d(f) be the second derivative of -3 - 20/3*f**3 + 45/2*f**2 - 5/12*f**4 - 19*f. Factor d(u).
-5*(u - 1)*(u + 9)
Factor -230*y - 12*y**4 + 4*y**5 + 38*y + 911*y**2 - 48*y**3 - 703*y**2.
4*y*(y - 3)*(y - 2)**2*(y + 4)
Let f(q) be the first derivative of 2/15*q**6 + 90 - 24/25*q**5 - 18/5*q**2 + 0*q - 24/5*q**4 - 104/15*q**3. Determine p, given that f(p) = 0.
-1, 0, 9
Let h(t) be the first derivative of 4*t + 63 + 1/24*t**3 + 3/4*t**2. Determine l, given that h(l) = 0.
-8, -4
Let q be 138/299 - (-5436)/13741. Factor q*y**3 - 6*y + 12/7*y**2 + 24/7.
6*(y - 1)**2*(y + 4)/7
Suppose 4*d - 187 = -5*g, 2*g - 3*d + 2*d = 80. Suppose -39*i + 78 = -g. Let -6/5*l - 4/5*l**2 + 4/5*l**i + 6/5*l**4 - 2/5 + 2/5*l**5 = 0. What is l?
-1, 1
Let n(r) be the second derivative of -r**4/48 + 25*r**3/24 - 25*r**2/2 + 2751*r. Solve n(h) = 0 for h.
5, 20
Let w be (6/15)/(56/(-63)*(-5)/300). Let s(b) be the first derivative of 20 - 3/4*b**4 - w*b - 7*b**3 - 45/2*b**2. Let s(v) = 0. What is v?
-3, -1
Let x = 2 - 0. Let s = 81297 + -894263/11. Find q, given that 2/11*q**x - s*q + 0 = 0.
0, 2
Let a(o) = o**3 + 1. Let b = 220 +