 ((-10)/45)/(9/(-162)). Suppose 15 = 3*g - 16*a + 12*a, -5*g + i*a = -17. Factor 1/5*o**2 + g + 6/5*o.
(o + 1)*(o + 5)/5
Let x = 12629/43687 + -21/6241. Let 4 + x*m**3 - 18/7*m - 12/7*m**2 = 0. What is m?
-2, 1, 7
Find m, given that 3*m**3 + 504*m**2 + 479*m - 57 + 520*m + 1363 - 808 = 0.
-166, -1
Let d = 98379 + -295121/3. Factor -6*i**2 + d*i - 1/3*i**4 + 8/3*i**3 - 5/3.
-(i - 5)*(i - 1)**3/3
Let d(n) = 4*n**2 - 134*n - 62. Let x be d(34). Let i be ((-60)/(-40))/(3/x). Factor -35/6*m**2 - 2*m**i - 1/6*m**4 + 6 + 2*m.
-(m - 1)*(m + 1)*(m + 6)**2/6
Suppose -6*k + 8*k - 19 = -5*d, 3*k + 5*d = 26. What is v in -3*v**3 - 12*v**2 + 6*v + 22*v**2 - 2*v**3 - k*v**3 - 4 = 0?
-2/3, 1/2, 1
Let -1574/3*o - 15*o**2 + 35/3 = 0. Calculate o.
-35, 1/45
Let z be 16 + 524/(-32) + (4 - 52/32). Let w(i) be the first derivative of -28/5*i**5 - 43 - 10/3*i**6 + 0*i**3 + 0*i**2 + 0*i - z*i**4. Factor w(d).
-4*d**3*(d + 1)*(5*d + 2)
Let s = 276 + -282. Let b be 13 + (8 - 18) + 16/s. Factor b*g + 1/3*g**2 + 0.
g*(g + 1)/3
Let o(p) be the second derivative of 0 - 529/4*p**2 - 1/24*p**4 + 81*p - 23/6*p**3. Find z, given that o(z) = 0.
-23
Factor -893750*h + 119*h**3 - 465708 - 1968*h**2 - 341558*h + 301528*h - 2763*h**2 - 125*h**3.
-3*(h + 394)**2*(2*h + 1)
Let j(r) be the third derivative of 2*r**6/3 + 82*r**5/15 + 161*r**4/120 + 2*r**3/15 - 34*r**2 + 14*r. Let j(h) = 0. Calculate h.
-4, -1/20
Let m be 2*(-1)/7 + 810/42. Factor 1839*n**5 + 10*n**2 - 25*n + m*n**3 - 20*n**4 + 10 - 1834*n**5 + n**3.
5*(n - 2)*(n - 1)**3*(n + 1)
Let t(s) be the third derivative of -s**8/3360 + s**7/560 - s**6/240 + s**5/240 - 58*s**3/3 + 79*s**2. Let h(z) be the first derivative of t(z). Factor h(l).
-l*(l - 1)**3/2
Let a(x) be the second derivative of -127/10*x**5 + 0 + 7/30*x**6 + 857/4*x**4 - 2380/3*x**3 + 578*x**2 + 56*x. Find u such that a(u) = 0.
2/7, 2, 17
Factor -48*i**2 + 153*i**2 - 46*i**2 - 36*i - 56*i**2.
3*i*(i - 12)
Factor -2/5 + 126/5*g**2 + 251/5*g.
(g + 2)*(126*g - 1)/5
Let k(p) be the third derivative of p**5/30 + 73*p**4/4 - 220*p**3/3 - 2469*p**2. Factor k(a).
2*(a - 1)*(a + 220)
Suppose 54*w**3 + 0 + 274/5*w + 2/5*w**4 - 546/5*w**2 = 0. Calculate w.
-137, 0, 1
Suppose 100*p - 394 = -36*p - 61*p. Let d(v) be the first derivative of 8/11*v + 1 + 10/33*v**3 + 1/22*v**4 + 8/11*v**p. Determine a, given that d(a) = 0.
-2, -1
Let j be ((-72)/(-116))/(2085/8062). Determine h so that -34/5*h + j + 34/5*h**2 + 2/5*h**4 - 14/5*h**3 = 0.
1, 2, 3
Let z be (-2)/(-3) + 21/9. Let p(m) = -6*m**2 - 183*m - 2697. Let r(i) = 13*i**2 + 367*i + 5393. Let t(c) = z*r(c) + 7*p(c). Factor t(f).
-3*(f + 30)**2
Let v(p) be the first derivative of -3*p**4/8 + 18*p**3 - 3846. Let v(g) = 0. What is g?
0, 36
Let z = -40385/7 + 363479/63. Factor -z*t**2 + 20/9*t - 50/9.
-2*(t - 5)**2/9
Let -5109*p - 1010*p + 1046*p - 3*p**3 - 304*p**2 - 37905 + 85*p**2 = 0. Calculate p.
-35, -19
Determine f, given that -11*f**2 - 12 + 4*f - 19*f + 25*f**2 - 17*f**2 = 0.
-4, -1
Solve -1134*l**2 - l**5 + 4*l**5 + 676*l**2 + 132 - 60*l + 57*l**3 - 228 - 33*l**4 + 587*l**2 = 0 for l.
-1, 1, 4, 8
Let s(x) be the third derivative of x**8/2520 + x**7/1575 - x**6/180 - x**5/450 + 2*x**4/45 - 4*x**3/45 - 1640*x**2 - x. Let s(z) = 0. Calculate z.
-2, 1
Let c be (54/(-126))/((-9540)/(-456) - 21). Solve -18/7*r**3 - c*r - 2/7*r**4 - 6*r**2 - 12/7 = 0 for r.
-6, -1
Let r(i) = 16*i**2 + 35578*i + 51123376. Let k(h) = -5*h**2 - 11841*h - 17041125. Let v(m) = 20*k(m) + 6*r(m). What is s in v(s) = 0?
-2919
Let n = 14187 - 14163. Factor 3/2*o**5 + 0*o**2 + n*o**3 + 0*o - 12*o**4 + 0.
3*o**3*(o - 4)**2/2
Let n(y) be the third derivative of y**6/180 + 2*y**5/45 - y**4/9 - 16*y**3/9 - 1421*y**2 + 3. Let n(w) = 0. What is w?
-4, -2, 2
Suppose -l - j = -9, 6*j - 20 = j. Suppose l*i = 49 - 4. Let 52*h**2 - 1 + 21*h**3 - 12*h**4 - 11*h**3 + 10*h**3 + i - 8*h**5 + 36*h = 0. What is h?
-1, -1/2, 2
Suppose 381*a + 207 = 450*a. Let r(h) be the first derivative of 0*h + 15 - 3/4*h**2 - 3/32*h**4 - 1/2*h**a. Suppose r(w) = 0. Calculate w.
-2, 0
Let o = 176 + -162. Let u be o/4 - 392/112. Factor 0*d - 4*d**2 - 1/3*d**3 + u.
-d**2*(d + 12)/3
Let z be 18/18*2/8. Let d(l) be the second derivative of -5/3*l**3 - z*l**5 + 0 - 5/4*l**4 + 12*l + 0*l**2. Factor d(x).
-5*x*(x + 1)*(x + 2)
Let k be (-2)/11 - 11496/(-66). Let d be k/((3 - 1) + (-15)/10). Factor -300*a + d + 517*a**2 - 308 - 625*a**3 + 233*a**2.
-5*(5*a - 2)**3
Let w be -1*(-4 - 19)*8. Find j, given that -2 + 2*j**2 - w*j + 97*j - 2*j**3 + 89*j = 0.
-1, 1
Let f(j) be the third derivative of -1/280*j**7 - 11/160*j**6 + 0 + 0*j + 0*j**4 + 0*j**3 - 3/10*j**5 + 81*j**2. Determine w, given that f(w) = 0.
-8, -3, 0
Let z(o) be the first derivative of -151 + 32/3*o**3 + 7*o**4 + 0*o - 3*o**6 - 48/5*o**5 + 3*o**2. Suppose z(y) = 0. Calculate y.
-3, -1/3, 0, 1
Suppose -17*d - 10 = -22*d. Suppose 2 = -d*n + 5*m - 9, 2*n + 5 = 3*m. Factor -1/2*u**n - 9/2 - 3*u.
-(u + 3)**2/2
Let b = -1689 - -16891/10. Let v(a) be the first derivative of -3 - b*a**4 + 1/25*a**5 + 0*a**2 + 1/15*a**3 + 0*a. Find m, given that v(m) = 0.
0, 1
Let l(i) be the third derivative of 3*i**8/392 - 38*i**7/245 + 221*i**6/210 - 106*i**5/35 + 293*i**4/84 - 2*i**3 + 86*i**2 - 6*i. Find b such that l(b) = 0.
1/3, 2, 3, 7
Let h(z) be the first derivative of 69/2*z**2 + 45*z + 3/4*z**4 + 9*z**3 - 138. Factor h(m).
3*(m + 1)*(m + 3)*(m + 5)
Let o = 465000 + -465000. Factor o*c - 4/9*c**4 + 0 - 2/9*c**3 + 2/9*c**2.
-2*c**2*(c + 1)*(2*c - 1)/9
Suppose 19*p + 42 - 55 = 25. Factor 0 + 3/2*i**3 + 0*i + 15/2*i**p.
3*i**2*(i + 5)/2
Suppose -5*t - 13*s + 17 = -11*s, 2 = 2*s. Let j(d) be the first derivative of 0*d**2 - 1/2*d - 1/10*d**5 + 21 + 0*d**4 + 1/3*d**t. Suppose j(p) = 0. What is p?
-1, 1
Let t(c) be the first derivative of c**3/9 + 3*c**2/2 + 8*c/3 - 2393. Find z, given that t(z) = 0.
-8, -1
Let p(d) be the first derivative of -3*d**4/10 + 491*d**3/5 - 5091*d**2/10 + 2178*d/5 - 7446. Find t, given that p(t) = 0.
1/2, 3, 242
Let n(l) be the third derivative of 1/60*l**6 + 1/3*l**4 - 1/6*l**5 + 0*l + 0*l**3 + 17*l**2 + 0. Factor n(y).
2*y*(y - 4)*(y - 1)
Let s be 497/(-252) + 0 + 2 + (-6)/(-27). Solve -5*c + 21/4 - s*c**2 = 0 for c.
-21, 1
Let n(r) be the third derivative of 0*r + 0*r**4 - 100*r**2 - 2/5*r**3 + 1/100*r**5 + 0. Determine i, given that n(i) = 0.
-2, 2
Let d(z) be the second derivative of 160*z**2 + 125*z**4 + 38*z + 200*z**3 + 125/4*z**5 - 1. Factor d(f).
5*(5*f + 4)**3
Let s(m) be the second derivative of -m**5/4 + 35*m**4/4 + 2175*m**3/2 + 57375*m**2/2 - 11731*m. Suppose s(j) = 0. Calculate j.
-15, 51
Let u be 2/((-5)/((-1125)/(-440)) + 2). Let b be 7/(140/u)*4/6. Solve -b*l**3 + 0 + 3/2*l + 3/2*l**2 - 3/2*l**4 = 0 for l.
-1, 0, 1
Let q(j) be the first derivative of j**4 - 172*j**3/3 + 318*j**2 - 468*j - 2996. Factor q(g).
4*(g - 39)*(g - 3)*(g - 1)
Suppose 0 = -67*x + 56*x + 1221. Suppose -93*p - 72 = -x*p. Factor -64/9*g - 16/9*g**3 + 16/3*g**2 + 32/9 + 2/9*g**p.
2*(g - 2)**4/9
Let q(l) = l**4 + l**3 - l**2 - 3*l + 1. Let m(z) = -21*z**4 - 12*z**3 + 29*z**2 + 44*z - 27. Let u(i) = -4*m(i) - 68*q(i). Factor u(p).
4*(p - 2)*(p + 1)**2*(4*p - 5)
Suppose -547*b + 54184 = 148*b + 260*b + 15984. Factor -2/3*p**3 - b + 62/3*p**2 - 56/3*p.
-2*(p - 30)*(p - 2)*(p + 1)/3
Suppose -192 = -4*l - 176. Let o be (9 - 3) + (-18)/l. Suppose 3/2*a**4 + 15/2*a**3 - 6 - 12*a - 3/2*a**2 - o*a**5 = 0. What is a?
-1, 2
Let u(g) be the second derivative of -2/9*g**3 + 1/12*g**2 + 34 + 7/72*g**4 - g. Factor u(c).
(c - 1)*(7*c - 1)/6
Let c = 325 + -307. Factor -42*r + 6*r - 12 - 26*r + c*r**3 - 32*r**2.
2*(r - 3)*(r + 1)*(9*r + 2)
Let q(v) be the second derivative of -3*v**5/20 + 13*v**4/2 - 143*v**3/2 + 285*v**2 + 53*v - 3. Let q(y) = 0. What is y?
2, 5, 19
Suppose -3*d + 700 = -5*d. Let m = d + 352. Factor -4/3*n - n**4 + 0 + 0*n**m + 7/3*n**3.
-n*(n - 2)*(n - 1)*(3*n + 2)/3
Let z(c) be the third derivative of -c**5/120 + 3*c**4/16 + 34*c**3/3 + 625*c**2. Factor z(m).
-(m - 17)*(m + 8)/2
Let s be ((-4674)/36)/(-19) - 14/(-35). Let w = s - 41/6. Suppose 6/5*l + 4/5 + w*l**2 = 0. What is l?
-2, -1
Let a(l) be the first derivative of 7*l**4/102 + 26*l**3/51 - 8*l**2/17 - 13*l - 73. Let o(p) be the first derivative of a(p). Factor o(n).
2*(n + 