e f, given that 2/5*f**5 - 362/5*f + 132/5 - 24*f**3 + 8/5*f**4 + 68*f**2 = 0.
-11, 1, 2, 3
Suppose 3*q + 384 = -s, 4*q - 569 = 5*s + 1370. Let y = 389 + s. Let -1/4 + 1/4*t + 1/4*t**y - 1/4*t**3 = 0. Calculate t.
-1, 1
Find y such that 0*y + 14/3*y**4 - 1/3*y**5 + 0 - 43/3*y**3 + 10*y**2 = 0.
0, 1, 3, 10
Let a = -59/18 + 34/9. Let l = 767/4 + -191. Determine y, given that 0 + 1/4*y**2 + a*y - 1/4*y**4 + 1/4*y**5 - l*y**3 = 0.
-1, 0, 1, 2
Let p = -161 + 173. Suppose -p*v = -15*v - 5*y + 10, 0 = 5*v - y + 2. Factor -4/5*b**2 + 1/5*b**4 + 1/5*b**5 + 8/5*b + v - 6/5*b**3.
b*(b - 2)*(b - 1)*(b + 2)**2/5
Suppose 6*k + 29 = 5*h + 4*k, -h + k = -4. Factor h*a**3 + 5*a**4 + 1171*a + 300*a**2 + 63*a**3 - 230*a - 581*a.
5*a*(a + 2)*(a + 6)**2
Let j(t) be the second derivative of -t**4/20 - 18*t**3/5 - 609*t**2/10 + 32*t - 3. Factor j(y).
-3*(y + 7)*(y + 29)/5
Let v(p) = 304*p + 24 + 60*p**2 + 7*p**3 + 20 - 40. Let l(z) = -6*z**3 - 60*z**2 - 303*z - 3. Let b(h) = -4*l(h) - 3*v(h). Suppose b(s) = 0. What is s?
-10, 0
Let d(t) be the third derivative of 1/1020*t**6 + 2 + 55/204*t**4 + 0*t + 9/17*t**3 + 29/510*t**5 + 64*t**2. Find y such that d(y) = 0.
-27, -1
Let c be 2/7 + (-12 - 469984/(-37520)). Let m = -4/335 + c. Factor 1/5*u**3 + 0 - 4/5*u**2 + m*u.
u*(u - 2)**2/5
Let t(u) be the first derivative of -84 - 1/5*u**5 + 25*u + 5/2*u**4 - 8*u**3 - 5*u**2. Let t(y) = 0. Calculate y.
-1, 1, 5
Let k = -150 - -153. Let j(z) = z**3 + 2*z**2 + z. Let y(g) = 15*g**3 + 30*g**2 - 30*g + 9. Let q(h) = k*j(h) - y(h). What is p in q(p) = 0?
-3, 1/2
Let c = -1058 - -1181. Let u = -120 + c. Factor 0 + 1/2*a**2 + 1/2*a**u + 0*a.
a**2*(a + 1)/2
Let 1142031 + 649589 + 42989*o - 3*o**3 - 885677*o - 118916 + 3174*o**2 = 0. What is o?
2, 528
Let t(i) be the first derivative of 1/18*i**4 + 0*i + 2*i**3 + 134 + 0*i**2. Factor t(a).
2*a**2*(a + 27)/9
Let k(q) = q**3 + 40*q**2 + 39*q + 2. Let t be k(-39). Let m be ((-3)/4)/(-1*(-1)/(-6)). Factor 0 - m*h**t + 0*h - 3/2*h**3.
-3*h**2*(h + 3)/2
Let f(n) be the first derivative of n**4/20 - 2*n**3/5 + 6*n**2/5 - 58*n + 7. Let a(d) be the first derivative of f(d). Factor a(s).
3*(s - 2)**2/5
Suppose -3*l + l + 267 = 5*z, -3*z - 495 = -4*l. Let q be 116/l - (-4)/(-18)*-1. Solve -9/7 - 6/7*x + 6/7*x**3 + q*x**2 + 1/7*x**4 = 0.
-3, -1, 1
Let u be (3 + (-168)/60)*3/(6/4). Factor -32/5 - 4*y - u*y**2.
-2*(y + 2)*(y + 8)/5
Let d(m) be the first derivative of -3*m**3 + 0*m**2 + 1/840*m**7 + 0*m**6 + 0*m**5 - 2 + 0*m**4 + 0*m. Let n(v) be the third derivative of d(v). Factor n(i).
i**3
Let j(f) be the first derivative of -f**4/8 - 47*f**3/6 + 721*f**2/4 + 767*f/2 - 7519. Factor j(o).
-(o - 13)*(o + 1)*(o + 59)/2
Let b(a) = 28*a + 196. Let x be b(-7). Let y(w) be the first derivative of 4 + 1/6*w**3 + 1/16*w**4 + x*w + 1/8*w**2. Factor y(u).
u*(u + 1)**2/4
Solve 3/2*i**5 - 3*i**3 + 0*i + 3/2*i**4 + 0*i**2 + 0 = 0.
-2, 0, 1
Suppose 441*t - 1636 = -45*t + 77*t. Factor -106/3*p + 3*p**t + 205/3*p**2 - 32*p**3 + 16/3.
(p - 8)*(p - 2)*(3*p - 1)**2/3
Let j(o) be the first derivative of -o**8/1176 - o**7/105 + 2*o**6/105 + 27*o**2/2 - 56. Let z(y) be the second derivative of j(y). Factor z(m).
-2*m**3*(m - 1)*(m + 8)/7
Let w = -881781/7 - -125969. Determine v, given that -w*v**2 - 2 - 16/7*v = 0.
-7, -1
Let k(w) be the third derivative of -w**8/1512 + 11*w**7/189 - 101*w**6/180 + 49*w**5/30 + 205*w**2 - 14. Solve k(v) = 0 for v.
0, 3, 49
Let n(f) be the second derivative of -7*f**5/100 - 29*f**4/10 + 27*f**3/2 - 27*f + 67. Factor n(a).
-a*(a + 27)*(7*a - 15)/5
Let s(m) = -8*m**3 + 141*m**2 - 117*m - 222. Let l(t) = 3*t**3 - 48*t**2 + 39*t + 74. Let y(w) = 11*l(w) + 4*s(w). Find x such that y(x) = 0.
-37, -1, 2
Find h, given that 352/15*h + 2/15*h**2 + 70/3 = 0.
-175, -1
Let k(j) be the second derivative of j**5/10 - 2*j**4 + 20*j**3/3 - 4054*j. Let k(h) = 0. Calculate h.
0, 2, 10
Let q = 335 - 332. Find d such that -6*d + d**q + 17*d - 106*d**2 + 94*d**2 = 0.
0, 1, 11
Factor -1/5*l**2 + 892/5*l - 198916/5.
-(l - 446)**2/5
Let t(f) be the third derivative of -f**5/40 - 803*f**4/16 + 201*f**3 + 129*f**2 - 3*f - 2. Suppose t(s) = 0. Calculate s.
-804, 1
Solve -182*m + 1/2*m**3 + 240 - 117/2*m**2 = 0 for m.
-4, 1, 120
Solve -6/5*j**3 - 1/5*j**2 + 24/5*j - 1/5*j**4 + 4 = 0.
-5, -2, -1, 2
Suppose i - 83 = -79. Let c be ((i/5)/1)/((-118)/(-295)). Find g, given that -45*g**2 - 35*g**2 - 80*g - 6*g**2 + 6*g**c + 5*g**5 + 20*g**4 = 0.
-2, 0, 2
Let i(h) = -165*h + 2312. Let f be i(14). Suppose -46/9*b**2 + 10/9*b**3 + 6*b - f = 0. What is b?
3/5, 1, 3
Let b(h) be the third derivative of -h**5/120 + h**4/24 + 24*h**3 - 364*h**2 - h + 1. Solve b(n) = 0 for n.
-16, 18
What is b in 5390*b**2 + 546*b**3 + 24353*b + 208887/5 + 1/5*b**5 + 23*b**4 = 0?
-87, -7
Let n(i) be the first derivative of 96 + 4/3*i - 5/4*i**2 + 1/24*i**4 + 1/3*i**3. Determine l so that n(l) = 0.
-8, 1
Let a(p) be the third derivative of -p**5/20 + 91*p**4/8 - 89*p**3 - 805*p**2. Factor a(g).
-3*(g - 89)*(g - 2)
Let v(m) be the third derivative of -25/9*m**3 + 0*m - 91*m**2 - 1/90*m**5 + 0 - 13/18*m**4. Solve v(d) = 0 for d.
-25, -1
Suppose 0 = -2*j + 214 - 202. Let o be ((-172)/(-18) - 9) + 10/j. Factor -50/9 - 2/9*s**2 - o*s.
-2*(s + 5)**2/9
Let r(x) = 11*x**3 - 2*x**2 - x. Let h(s) = -65*s**3 + s**2 - 41*s + 52. Let k(n) = -2*h(n) - 14*r(n). Factor k(o).
-2*(o - 2)*(o + 2)*(12*o - 13)
Let j be (((-270)/(-117))/5)/((-5)/((-5200)/90)). Factor 0 - j*t**2 + 0*t - 2/9*t**3.
-2*t**2*(t + 24)/9
Let h(c) be the second derivative of -2*c**6/15 + 16*c**5/5 - 47*c**4/3 - 32*c**3/3 + 96*c**2 + 13*c - 11. Determine i, given that h(i) = 0.
-1, 1, 4, 12
Let p(x) be the second derivative of 11*x**5/120 + 449*x**4/72 + 949*x**3/18 - 30*x**2 - 23*x - 67. Suppose p(z) = 0. Calculate z.
-36, -5, 2/11
Factor -1/5*m**2 + 622/5*m - 248.
-(m - 620)*(m - 2)/5
Let f be (-2)/(2 - (-147)/(-150)*2). Let z be f/10*(-2)/20. Determine y so that -2*y - z*y**2 - 2 = 0.
-2
Let y(l) be the second derivative of -3*l**5/100 - 119*l**4/20 - 463*l**3/10 - 207*l**2/2 + 8027*l. Let y(i) = 0. Calculate i.
-115, -3, -1
Factor -550*p**2 + 4*p**3 - 4*p**3 + 2*p**3 - 448*p + 90 - 20*p**3 + 6*p**3.
-2*(p + 1)*(p + 45)*(6*p - 1)
Let a = 277406 + -277406. Determine p so that 7/2*p**3 + 1/4*p**5 - 2*p**4 - 15/4*p + a + 2*p**2 = 0.
-1, 0, 1, 3, 5
Let i(h) be the third derivative of -h**6/840 + 2*h**5/35 - 15*h**4/56 + 59*h**3/3 + h**2 + 43. Let g(n) be the first derivative of i(n). Factor g(f).
-3*(f - 15)*(f - 1)/7
Let z(q) be the third derivative of q**6/120 + q**5/4 - 11*q**4/8 - 7*q**3/2 + 11*q**2 - q. Let y(m) be the first derivative of z(m). Factor y(a).
3*(a - 1)*(a + 11)
Let k(g) be the second derivative of 0 - 2/3*g**4 - 1/5*g**5 - 23*g + 0*g**3 + 0*g**2. What is v in k(v) = 0?
-2, 0
Let p(g) be the first derivative of -g**5/15 - 53*g**4/12 - 110*g**3 - 3950*g**2/3 - 23000*g/3 + 5318. Find s, given that p(s) = 0.
-23, -10
Let u be 386/52 + (102 + -90)*1/156. Determine r, given that -9/8*r**4 - 9/8 + u*r**3 + 15/2*r - 59/4*r**2 = 0.
1/3, 3
Let z(a) be the second derivative of a**5/5 + 11*a**4 - 270*a**3 + 2150*a**2 + 1863*a. Factor z(w).
4*(w - 5)**2*(w + 43)
Let g(n) = 5*n**2 - 2506*n + 315073. Let a(o) = o + 17. Let j(y) = 4*a(y) - g(y). Let j(u) = 0. Calculate u.
251
Let r be (-3)/18 - 586418/(-84). Factor 7*l**3 - 8*l + r*l**2 + l**3 - 6985*l**2 + 4*l**4.
4*l*(l - 1)*(l + 1)*(l + 2)
Let s(w) be the second derivative of -168*w - 7/3*w**2 + 0 + 1/12*w**3 + 1/72*w**4. Suppose s(i) = 0. Calculate i.
-7, 4
Let n(b) be the first derivative of -b**4/20 - 19*b**3/3 - 367*b**2/10 - 273*b/5 - 6271. Factor n(x).
-(x + 1)*(x + 3)*(x + 91)/5
Let f(k) = -4*k**3 - 11098*k**2 + 7*k + 7. Let d(p) = -38*p**2 + p + 1. Let c(r) = -7*d(r) + f(r). Factor c(s).
-4*s**2*(s + 2708)
Suppose -3529*w - 5*w**2 - 20976400 + 717*w + w**2 - 6238*w - 9270*w = 0. Calculate w.
-2290
Let o(v) be the third derivative of -v**7/175 - 771*v**6/25 - 1585176*v**5/25 - 271593488*v**4/5 - 6349*v**2. Find t, given that o(t) = 0.
-1028, 0
Let j be (-736)/(-18) + 2/18. Let p(b) = b**3 - 40*b**2 - 40*b - 39. Let o be p(j). Find y, given that 4/7*y**3 + 12/7*y + 4/7 + 12/7*y**o = 0.
-1
Let x = -23006 + 368103/16. Let w(q) be the second derivative of -1/6*q**3 + 0 + x*q**2 +