292*b - 58212. Let d(r) = 6*l(r) - 68*s(r). Factor d(k).
4*(k - 7)**2*(13*k + 54)
Let f(l) = -l**3 - 3*l**2 + 8*l + 1. Let z be f(2). Let y be (0 - z) + (-1700)/(-476). Factor 12/7 + y*h + 2*h**2.
2*(h + 3)*(7*h + 2)/7
Suppose 0 = -11*b + 457 - 94. Factor 161*v + 167*v + 27*v**2 - 334*v + b*v**3.
3*v*(v + 1)*(11*v - 2)
Let r = 38 + -35. Let -29 - 395*g**3 + 352*g**r - 156*g**2 + 272*g - 19 - 629*g**3 - 196*g**4 = 0. Calculate g.
-3, -1, 2/7
Suppose 231 = -5*z + 12*z. Suppose 35*h - 4 = z*h. Factor -2/3 - 2*a - 2*a**h - 2/3*a**3.
-2*(a + 1)**3/3
Solve 2*f**3 - 56 - 8*f + 5*f**2 + 3*f**2 + 6*f**2 = 0.
-7, -2, 2
Let k(c) be the second derivative of 0 + 3/20*c**5 + 39*c - 1/2*c**3 - 7/4*c**4 + 21/2*c**2. Suppose k(q) = 0. What is q?
-1, 1, 7
Let n(q) = -q**2 - 21*q + 22. Let b be (-15)/(-42)*-30 + (-14)/49. Let y(o) = -2*o**2 - 42*o + 44. Let k(l) = b*n(l) + 6*y(l). Factor k(h).
-(h - 1)*(h + 22)
Let r be (-4)/(-3)*3/2. Factor 2 + 500*w**r - 502*w**2 + 4*w + 0*w + 4.
-2*(w - 3)*(w + 1)
Let a(h) = -h**3 - 5*h**2 - 6*h - 5. Let c be a(-4). Factor 51*x**4 + 3*x**2 - 71*x**4 - 4*x**c - 12*x**5 + x**2.
-4*x**2*(x + 1)**2*(3*x - 1)
Let m(u) be the first derivative of u**4/10 + 2116*u**3/15 + 55756*u**2 - 224720*u - 715. What is h in m(h) = 0?
-530, 2
Suppose 6*d = 14*d + 136*d. Let g(w) be the third derivative of d - 3/4*w**4 - 5*w**2 + 0*w - 3*w**3 - 1/180*w**6 - 1/10*w**5. Solve g(u) = 0.
-3
Let j(k) be the first derivative of -3*k**4/8 - 1229*k**3/2 - 1130985*k**2/4 + 1134675*k/2 + 1583. Solve j(h) = 0.
-615, 1
Let d(r) = -4*r**2 + 87*r - 23. Let t be d(21). Let a be (114/(-95))/(203/(-200) + 1). What is o in -5/2*o**4 + 20*o**3 + a*o - t - 60*o**2 = 0?
2
Let d = 1897/23 - 18245/253. Solve d*y + 48/11*y**3 + 0*y**4 - 36/11 - 2/11*y**5 - 124/11*y**2 = 0.
-6, 1, 3
Let w be ((-12)/(-24))/(7/5*(-35)/(-28)). Suppose 2*r - r - 4*t = -4, -5*r + t = -18. Solve 0*h + 4/7*h**2 - w - 2/7*h**r + 0*h**3 = 0 for h.
-1, 1
Let y(q) be the second derivative of q**4/24 + 355*q**3/12 + 177*q**2/2 - 45*q - 12. Factor y(f).
(f + 1)*(f + 354)/2
Let r(g) be the first derivative of g**5 + 5*g**4 - 80*g**3 - 360*g**2 + 2160*g - 768. Determine z, given that r(z) = 0.
-6, 2, 6
Let s(i) be the first derivative of 2*i**5/5 - 480*i**4 + 458876*i**3/3 + 461760*i**2 + 462722*i - 1719. Solve s(p) = 0 for p.
-1, 481
Factor -116*r**2 - 107*r**2 - 109*r**2 - 5*r**3 + 120*r + 441*r**2 - 119*r**2.
-5*r*(r - 4)*(r + 6)
Suppose 182092*w**2 + 180*w - 3*w**4 - 91107*w**2 + 57*w**3 - 91177*w**2 = 0. Calculate w.
0, 2, 15
Let j = -430 + 436. Factor -4*t - 9 + 36*t - 8*t + j*t - 3*t**4 - 36*t**2 + 18*t**3.
-3*(t - 3)*(t - 1)**3
Let q be (-90)/(-6) + (-12)/48*34. Determine r, given that 3 + 1/2*r**5 - q*r - 4*r**4 + 6*r**3 + r**2 = 0.
-1, 1, 6
Let r(z) be the first derivative of 0*z**2 + 13 - 1/15*z**3 + 1/5*z. Factor r(h).
-(h - 1)*(h + 1)/5
Let z(h) = -h**2 - 3. Let n(t) = 3*t**2 + 141*t - 378. Let a(m) = -n(m) - 6*z(m). Suppose a(q) = 0. Calculate q.
3, 44
Let c = -10073/3 - -3358. Let s(m) be the second derivative of -2*m**2 + 1/15*m**5 - 2/9*m**3 + 5*m + c*m**4 + 0. Suppose s(k) = 0. Calculate k.
-3, -1, 1
Let o(s) be the second derivative of s**7/14 + 6*s**6/5 + 21*s**5/5 + 3*s**4/2 - 29*s**3/2 - 27*s**2 + 452*s + 4. Determine b, given that o(b) = 0.
-9, -2, -1, 1
Determine c, given that -2764*c**2 + 1901 - 408*c + 1778*c**3 + 88*c - 294*c**4 - 301 = 0.
-2/3, 1, 20/7
Let v = 138 + -109. Let p = -24 + v. Suppose -4*c**5 - 3*c**5 - 2*c**3 + p*c**5 + 0*c**5 - 4*c**4 = 0. Calculate c.
-1, 0
Let p be (-3 + 60/18)*15. Factor -2*d**2 + 10 - 3*d - 10 - p*d - 9 + 1.
-2*(d + 2)**2
Let o be (9/(3 + 0))/(6/4). Suppose o*f - 3 = k - 15, 3*f + 13 = -k. Factor -3*w**3 + 3*w**5 - 22*w**2 + 22*w**k.
3*w**3*(w - 1)*(w + 1)
Let -142/19*n + 48/19*n**3 + 20/19*n**2 - 8/19*n**4 + 84/19 - 2/19*n**5 = 0. What is n?
-7, -2, 1, 3
Suppose -6*w + 10*w = 14*w. Suppose w = -30*x + 125 - 35. Factor -15/4*i**2 + 3/2*i - 21/4*i**x + 0.
-3*i*(i + 1)*(7*i - 2)/4
Let i(p) be the second derivative of p**5/20 - p**4/3 - 3*p**3/2 + 18*p**2 - 734*p + 2. Factor i(d).
(d - 4)*(d - 3)*(d + 3)
Let j(w) be the first derivative of -5*w**3/3 - 55*w**2/2 - 50*w + 2435. Let j(i) = 0. Calculate i.
-10, -1
Let v(x) be the second derivative of 2*x**6/135 + 4*x**5/45 - 11*x**4/27 - 20*x**3/9 - 1040*x. Factor v(c).
4*c*(c - 3)*(c + 2)*(c + 5)/9
Determine p, given that -627/2 + 156*p + 3/8*p**2 = 0.
-418, 2
Let j(b) = 55*b**2 + 4*b + 12. Let d be j(-2). Let i = 300 + -174. Let -98 - 30*w**2 - i*w**2 - 16*w**3 + d*w + 31*w**3 + 17*w**3 - 2*w**4 = 0. Calculate w.
1, 7
Let u(f) = -3*f**2 + 13*f - 10. Suppose -10*p + 34 = 7*p. Let o(d) = 55 - 55 - d + d**p. Let s(w) = 4*o(w) + u(w). Factor s(x).
(x - 1)*(x + 10)
Factor -27/7*i + 0 + 3/7*i**2.
3*i*(i - 9)/7
Suppose -2*b - 45 = j - 147, -210 = -4*b + j. Let u(s) = -s**3 + 53*s**2 - 52*s + 3. Let n be u(b). Factor 2/15 - 6/5*v**2 - 2/5*v - 2/3*v**n.
-2*(v + 1)**2*(5*v - 1)/15
Suppose 4*y - 5 = -w, -3*y - 25 = -6*y - 5*w. Suppose y = 138*o - 123*o. Determine h so that -35/4*h**4 + 35*h**2 + o + 5/2*h**3 - 10*h = 0.
-2, 0, 2/7, 2
Let w(h) be the second derivative of h**6/30 + h**5/10 - h**4/3 - h**3/3 + 3*h**2/2 + 72*h. Find q, given that w(q) = 0.
-3, -1, 1
Find t such that 193600 + 278*t**2 - 1760*t - 545*t**2 + 271*t**2 = 0.
220
Let t(h) = 12*h**3 - 1012*h**2 + 5400*h - 3168. Let f(s) = s**2 - 3*s - 2. Let o(g) = -4*f(g) + t(g). Solve o(j) = 0.
2/3, 5, 79
Let f(t) be the second derivative of t**6/40 + 203*t**5/80 + 83*t**4/12 + 11*t**3/2 - 7*t - 146. Suppose f(x) = 0. What is x?
-66, -1, -2/3, 0
Let l be 4*9/(-54) + 1462/816. Determine u, given that -3/4*u**3 - 3/8*u**2 + l*u + 0 = 0.
-3/2, 0, 1
Let w(n) be the second derivative of -n**4/102 - 64*n**3/51 - 941*n. Factor w(v).
-2*v*(v + 64)/17
Let u(l) be the first derivative of -89 + 0*l - 20/39*l**3 - 9/13*l**2 - 1/26*l**4. Factor u(s).
-2*s*(s + 1)*(s + 9)/13
Suppose 115*n - 362 - 84 + 101 = 0. Let m = -5 - -5. Suppose -3/8*l**4 + 0 + 0*l**n + m*l + 3/8*l**2 = 0. Calculate l.
-1, 0, 1
Find z, given that -142*z**4 + 85*z**2 - 1915*z**3 + 827*z**4 + 88*z**2 + 100*z**5 + 180*z + 27*z**2 = 0.
-9, -1/4, 0, 2/5, 2
Let n(c) = 9*c**2 + 457*c - 320. Let g(w) = 12*w**2 + 457*w - 327. Let v(y) = 2*g(y) - 3*n(y). Factor v(a).
-(a + 153)*(3*a - 2)
Suppose 17 = 3*n - 2*b, 5*b = n - 4*n - 11. Factor -r**3 - r**5 - 3*r**2 - 15*r + n*r**4 + 13*r + 4*r.
-r*(r - 2)*(r - 1)**2*(r + 1)
Determine d, given that -369 + 440*d**2 + 166*d**2 + 9*d**4 - 246*d**3 + 33 - 12*d**4 + 456*d + 6*d**5 - 51*d**2 = 0.
-7, -1, 1/2, 4
Let u be (26352/305 - 80)/32. Factor 2 - 4/5*a**2 + u*a**3 - 7/5*a.
(a - 5)*(a - 1)*(a + 2)/5
Let s = 648165 + -1944449/3. Factor s*r**3 + 0*r + 0 + 16*r**2 - 2/3*r**4.
-2*r**2*(r - 24)*(r + 1)/3
Suppose -3*t + x + 1708 = 0, -4*t + x + 2288 = -3*x. Suppose -t*w**4 - 32*w**3 - 564*w**4 + 1130*w**4 + 34*w**2 = 0. What is w?
-17, 0, 1
Let w(b) be the third derivative of -b**6/120 + 7*b**5/30 + 38*b**4 + 4065*b**2. Solve w(t) = 0 for t.
-24, 0, 38
Let l(u) be the first derivative of 3*u**4/4 - 51*u**3 + 1080*u**2 - 5184*u + 1124. Factor l(a).
3*(a - 24)**2*(a - 3)
Let 1/7*y**2 + 340*y + 202300 = 0. What is y?
-1190
Let z be (29/((-2030)/56))/(-16). Let u(w) be the second derivative of -24/5*w**2 - z*w**4 - 4/5*w**3 - 21*w + 0. Factor u(h).
-3*(h + 4)**2/5
Let m(d) be the third derivative of d**6/48 + 11*d**5/60 + 5*d**4/48 - d**3 + 2192*d**2. Factor m(u).
(u + 1)*(u + 4)*(5*u - 3)/2
Let b(k) be the first derivative of 1/18*k**4 + 0*k + 10/27*k**3 + 4/9*k**2 - 82. Factor b(r).
2*r*(r + 1)*(r + 4)/9
Let s(w) = -w**4 - 6*w**3 - w**2 + 4*w + 6. Let o(i) = -2*i**4 - 13*i**3 - 3*i**2 + 8*i + 15. Let b(n) = 2*o(n) - 5*s(n). Find c, given that b(c) = 0.
-4, -1, 0, 1
Find n, given that 6*n**2 + 11*n**2 + 265 + 1924*n + 13*n**2 - 9 = 0.
-64, -2/15
Let i(q) = -18486*q**2 - q + 17. Let d(b) = 3081*b**2 - 3. Let u(h) = -17*d(h) - 3*i(h). Find s, given that u(s) = 0.
-1/1027, 0
Let j(s) be the third derivative of -s**5/90 - 184*s**4/9 - 135424*s**3/9 + 1164*s**2. Let j(x) = 0. What is x?
-368
Let x(v) be the first derivative of -3*v**4 + 108*v - 3/5*v**5 + 37*v**3 - 102*v**2 - 31. Factor x(q).
-3*(q - 2)**2*(q - 1)*(q + 9)
Let 4/3*c**4 - 160/3*c**2 + 8/3*c**3 - 584/3*c