 + 24/20*(-10)/(-4). Factor -35*c**3 - 10*c**2 - 30*c**5 + 15*c**4 - 40 - 26*c**5 - 25*c**2 + 90*c + a*c**5.
5*(c - 1)**3*(c + 2)*(c + 4)
Factor -61*m - 25*m - 75*m**2 - 48*m**2 - 43*m**3 - 29*m**3 - 2 + 33*m.
-(m + 1)*(3*m + 2)*(24*m + 1)
Let x(u) = u**3 + 6*u**2 - 14*u - 28. Let i be x(-7). Factor -434*z + 336*z**2 - 7*z**3 + 34*z - i*z**3 - 8*z**3 + 128.
-4*(z - 8)*(3*z - 2)**2
Let l(k) be the first derivative of -31/12*k**4 + 258 - 1/15*k**5 - 605/6*k**2 - 33*k**3 + 2662/3*k. Factor l(h).
-(h - 2)*(h + 11)**3/3
Determine v so that 7*v**2 - 69430*v + 34730*v + 34786*v + 24 = 0.
-12, -2/7
Let x(k) be the third derivative of -5*k**7/42 - 11*k**6/12 + 45*k**4/4 - 45*k**3/2 + 3*k**2 + 104. Determine p, given that x(p) = 0.
-3, 3/5, 1
Suppose 5*c + 1 = -m + 65, 3*c - 34 = -5*m. Let f(h) be the first derivative of 0*h - 4/3*h**3 + c - 4*h**2. Factor f(w).
-4*w*(w + 2)
Let r(f) be the first derivative of 4*f**3 - 4/5*f**5 - 65 - 10*f**2 + 8*f + f**4. Let r(o) = 0. Calculate o.
-2, 1
Let o(r) be the first derivative of 18*r**4 - 8 + 21/2*r**2 - 22*r**3 + 0*r + 1/2*r**6 - 6*r**5. Factor o(y).
3*y*(y - 7)*(y - 1)**3
Let r(p) be the third derivative of p**5/12 + 5*p**4 + 115*p**3/6 + 819*p**2. Determine b, given that r(b) = 0.
-23, -1
Let s(a) be the second derivative of 8*a + 2/11*a**3 - 1/6*a**4 + 2/55*a**5 + 2 + 0*a**2 + 1/165*a**6. Factor s(o).
2*o*(o - 1)**2*(o + 6)/11
Solve 1/5*o**5 + 0 + 7/5*o**2 + 9/5*o**4 + 3*o**3 + 0*o = 0.
-7, -1, 0
Let q be 2040/(-105)*((3 - (42/(-12) + 6)) + -1). Factor -302/7*s + 2/7*s**5 + q*s**4 - 292/7*s**3 + 64*s**2 + 76/7.
2*(s - 1)**4*(s + 38)/7
Let -3*t**3 + 61*t**2 + 1/2*t**5 - 19/2*t**4 + 57/2 - 155/2*t = 0. What is t?
-3, 1, 19
Let r(s) be the first derivative of 1/12*s**3 + 11/4*s**2 + 121/4*s - 28. Factor r(g).
(g + 11)**2/4
Let h(g) be the first derivative of -2*g**6/15 - 68*g**5/25 - 56*g**4/5 - 208*g**3/15 + 1765. Suppose h(p) = 0. Calculate p.
-13, -2, 0
Suppose r + 98 = 4*m, -5*m + 2*r + 78 = -46. Let a be 1/5*30/m. Factor 3/4*v**4 - 3/4*v**3 + 0*v - a*v**5 + 1/4*v**2 + 0.
-v**2*(v - 1)**3/4
Let z = -61722 - -555502/9. Factor 10/9*g**2 - z*g + 0 + 14/9*g**3.
2*g*(g + 1)*(7*g - 2)/9
Let z(y) = -65*y - 12023. Let m be z(-185). Factor -6/5 - 4/5*q - 2/15*q**m.
-2*(q + 3)**2/15
Let y(j) be the second derivative of -2*j**6/75 + 14*j**5/25 - 49*j**4/15 + 24*j**3/5 - 94*j. Solve y(z) = 0.
0, 1, 4, 9
Suppose 0 = 16*l - 15*l + 201. Let h = l - -206. Let 0*p + 8/3*p**4 + 0 - 14/9*p**h - 4/9*p**2 - 2/3*p**3 = 0. Calculate p.
-2/7, 0, 1
Let r = 69142 + -69139. Factor 84*p - 18 - 27/2*p**r - 21/2*p**2.
-3*(p - 2)*(p + 3)*(9*p - 2)/2
Let n(x) = 2*x**3 - 9*x**2 + 9*x - 38. Let k be n(7). Let -49*l**4 + 153*l**2 + 4*l**4 - 15*l**4 - 285*l - 72 + 3*l**5 - k*l**3 - 573*l**2 = 0. What is l?
-1, 24
Let d(y) be the second derivative of -y**5/4 + 119*y**4/3 - 95*y**3/6 - 2615*y. Solve d(o) = 0 for o.
0, 1/5, 95
Let q be 5/(-5) + (-6)/(168/7310). Let s = -523/2 - q. Find o such that 8/7*o - 8/7*o**3 + s*o**4 + 0*o**2 - 4/7 = 0.
-1, 1
Let r = 11071/42 - 21827/84. Let -3/8*s**3 - 9/4*s**2 + r - 9/8*s = 0. Calculate s.
-5, -2, 1
Factor 100*a + 114*a - 349*a + 338 - 76*a + 25*a**3 - 141*a**2 - a**4 - 10*a.
-(a - 13)**2*(a - 1)*(a + 2)
Suppose -5 = f - 10. Suppose -x + 4*x = 3*n - 3, 5 = f*n. Solve 0*t + 2/5*t**2 + 4/5*t**3 + 2/5*t**4 + x = 0 for t.
-1, 0
Let f(g) be the first derivative of -g**4/12 + 8*g**3 - 288*g**2 - 8*g - 177. Let z(c) be the first derivative of f(c). What is q in z(q) = 0?
24
Let g be (-9 + (-243)/(-45))*(-70)/4. Suppose 7 - 73*a**2 + g*a**2 - 7 + a**3 = 0. What is a?
0, 10
Let y(u) = u**3 - 29*u + 22. Let h be y(5). Suppose 3*f + 4 + 0 = -2*x, 0 = f - 2*x - 4. Suppose 18 - 6*l**h - 3*l**3 - 936*l + f*l**2 + 951*l = 0. Calculate l.
-3, -1, 2
Let c be -8*(-51)/68 - (3 + 11) - 128/(-6). Find u such that -16 - 4/3*u**2 + 2/3*u**3 - c*u = 0.
-2, 6
Suppose 22*k - 187*k + 372 = 21*k. Find d, given that -27/4*d**3 + 9/2*d**4 + 7/4*d**k + 0 + 1/2*d = 0.
-1/6, 0, 2/3, 1
Let b be (80/(-56))/(4/(-14)). Suppose -c + b*c - 12 = 0. Factor -10*f**3 - 7*f**c - 7*f**2 + 21*f**3 - 5*f**2.
4*f**2*(f - 3)
Let d be (-5 + 2)*2/((36/1)/(-3)). Let a(y) be the first derivative of 0*y**3 + 1/7*y**6 - 8/7*y**5 + 0*y**2 + 0*y - 46 - d*y**4. Factor a(c).
2*c**3*(c - 7)*(3*c + 1)/7
Let x(b) = -b**3 - 6*b**2 + 562*b - 133. Let c be x(-27). Let 26/19*j + 0*j**c + 24/19 - 2/19*j**3 = 0. What is j?
-3, -1, 4
Let 4/5*z**5 - 1728/5 + 32/5*z**4 + 1584/5*z - 96/5*z**2 - 212/5*z**3 = 0. What is z?
-12, -3, 2, 3
Factor 0 + 1/5*a**2 - 3314/5*a.
a*(a - 3314)/5
Determine q, given that 1275/2 + 81/2*q**2 + 585/2*q + 3/2*q**3 = 0.
-17, -5
Let v = 212 + -224. Let l be 13/(26/(-20))*3/v. Find q, given that -1/2*q**4 - 9/2*q**2 + 7/2*q - 1 + l*q**3 = 0.
1, 2
Let o(i) = -3*i**3 - 50*i**2 - 43*i - 1018. Let k be o(-17). Factor 3/2*r**2 - k*r**3 + 9*r - 1/2*r**4 + 0.
-r*(r - 2)*(r + 3)**2/2
Let o(j) = -5*j**3 - 150*j**2 - 485*j + 5. Let p(y) = -8*y**3 - 226*y**2 - 727*y + 7. Let b(u) = 7*o(u) - 5*p(u). Find z such that b(z) = 0.
-12, -4, 0
Let c be 231/(-22) - (-17)/((-170)/(-110)). What is v in c*v**2 - 9*v - 20 = 0?
-2, 20
Let w be ((-4)/(-5))/(624/325 + -2). Let d be ((-24)/w)/((-22)/(-15)). Find u such that 2/11 + d*u**2 - 12/11*u = 0.
1/3
Let y(f) = 2*f**3 + 557*f**2 + 1162*f + 418. Let u(m) = -m**3 - 280*m**2 - 581*m - 218. Let v(w) = -9*u(w) - 4*y(w). Factor v(x).
(x + 1)**2*(x + 290)
Let c(h) = -13*h + 199. Let m be c(15). Factor -36*t**2 + 0*t**m - 38*t - 8 + 10*t + t**4 - 5*t**4 - 20*t**3.
-4*(t + 1)**3*(t + 2)
Factor 0*k**3 - 1710*k**2 + 378594 - 2*k**3 - 194351*k + 219986 + 51626*k - 3*k**3.
-5*(k - 4)*(k + 173)**2
Suppose 0 = -7*i - 242 + 256. Let -20*m - 64*m**2 + 138*m**i + 24 - 70*m**2 = 0. What is m?
2, 3
Suppose 0 = 3*w + 9*k - 6*k, 10 = 2*w - 3*k. Find t such that 227*t**w + 3*t - 2 - t**3 - 227*t**2 = 0.
-2, 1
Let d(f) = f**3 - 13*f**2 - 10*f + 166. Let v be d(13). Suppose 299*t + v = 308*t. Factor -8/5*h**3 - 4/5*h + 2/5*h**t + 0 + 2*h**2.
2*h*(h - 2)*(h - 1)**2/5
Let g be (28/3360)/(3/134). Let i = g + -3/20. Find v, given that -10/9*v - 2/9*v**2 + 10/9*v**3 + i*v**4 + 0 = 0.
-5, -1, 0, 1
Let f(d) = -56*d**2 - 1260*d - 6888. Let n(h) = 33*h**2 + 756*h + 4132. Let k(c) = -7*f(c) - 12*n(c). Suppose k(j) = 0. What is j?
-57, -6
Let p(w) be the second derivative of -w**4/48 + 95*w**3/4 - 81225*w**2/8 + 854*w. Factor p(k).
-(k - 285)**2/4
Let c(q) be the second derivative of -q**7/105 + 3*q**6/25 + 18*q**5/25 + 2*q**4/15 - 16*q**3/5 + 4338*q. Suppose c(l) = 0. Calculate l.
-2, 0, 1, 12
Let n(x) be the first derivative of 1/15*x**3 + 4/5*x + 12 - 1/2*x**2. Find v, given that n(v) = 0.
1, 4
Let h(w) be the third derivative of -w**6/100 - 6*w**5/25 - 7*w**4/4 - 24*w**3/5 - 3*w**2 + 6*w - 3. Factor h(c).
-6*(c + 1)*(c + 3)*(c + 8)/5
Let l(v) be the second derivative of 0*v**2 - 52/3*v**4 - 34*v + 16*v**3 - 2/5*v**6 + 0 + 26/5*v**5. Find i such that l(i) = 0.
0, 2/3, 2, 6
Let g be (34/(-16))/(2324/(-224) + 10) - 5. Let g*h**4 - 296/3*h**3 + 3748322/3 + 5476*h**2 - 405224/3*h = 0. What is h?
37
Let x(v) be the first derivative of 2*v**5/5 - 5*v**4/2 + 2*v**3 + 9*v**2 - 855. Let x(u) = 0. Calculate u.
-1, 0, 3
Let l = 132/265 + -128/2385. Determine a, given that 0 - 2/9*a**2 + l*a = 0.
0, 2
Let q(w) be the second derivative of 8/9*w**2 + 9*w - 8 - 1/6*w**4 - 34/27*w**3. Suppose q(p) = 0. What is p?
-4, 2/9
Factor -60*x + 3 + 54*x - 82*x**2 + 85*x**2.
3*(x - 1)**2
Let p be 11343/597*(84/76 - 1). Determine c, given that -1806/5*c**p + 98/5*c**3 - 152/5 - 1056/5*c = 0.
-2/7, 19
What is j in -4577/7*j + 1144/7 + 4/7*j**2 = 0?
1/4, 1144
Let t(y) = 27*y**4 - 37*y**3 - 934*y**2 + 6075*y - 11. Let q(c) = 5*c**4 - 7*c**3 - 187*c**2 + 1215*c - 2. Let w(d) = 33*q(d) - 6*t(d). What is k in w(k) = 0?
-15, 0, 9
Suppose -50 = -3*l - 4*r, 5*l - 3*r + 76 = 10*l. Suppose 20*z - l*z = 18. Solve -10/3 + 5/3*y**4 - 5*y**z + 5/3*y**2 + 5*y = 0.
-1, 1, 2
Let l be 871/402 - 6/36. Let j(h) be the third derivative of -l*h**2 - 5*h + 1/30*h**5 + 5/3*h**3 + 0 + 1/2*h**4. Factor j(q).
2*(q + 1)*(q + 5)
Let r(t) be the first derivative of 2*t**3/63 - 160*t**2/21 + 106*t/7 + 4064. Suppose r(m) = 0. Calculate m.
1, 159
Let x be (3*-8)/(-36 + (-2268)/(-72)). Factor 4/3*y**2 + 