 i be ((-104)/676)/(1/(-13)). Let p(x) be the third derivative of 0*x + 0*x**3 - 1/180*x**5 + 1/18*x**4 - x**i + 0. Let p(v) = 0. What is v?
0, 4
Let b(t) = -31*t - 184. Let y be b(-4). Let r be (10/12)/((-100)/y). Find x, given that 0 + 0*x**3 + 0*x + r*x**2 - 1/2*x**4 = 0.
-1, 0, 1
Let g(q) = -q**3 - 10*q**2 - 11*q - 14. Let k be (1/2 - (-19)/(-2)) + 0. Let v be g(k). Let b - 28*b + 72*b**3 - v + 6*b**2 + 1 - 3 = 0. Calculate b.
-1/2, -1/4, 2/3
Let -201/2*o - 69 + 69/2*o**3 + 9/2*o**2 - 3/2*o**4 = 0. What is o?
-1, 2, 23
Let l(g) be the third derivative of 18*g**2 + 0*g + 1/40*g**6 + 0 - 1/8*g**4 + g**3 - 3/20*g**5 + 1/70*g**7. Factor l(y).
3*(y - 1)**2*(y + 1)*(y + 2)
Let k(y) = -120*y**2 - 26085*y - 50. Let z(f) = -29*f**2 - 6522*f - 12. Let c(v) = 6*k(v) - 25*z(v). Factor c(w).
5*w*(w + 1308)
Let j = 721 + -717. Let y(s) be the second derivative of -1/30*s**j - 9/5*s**2 + 0 + 2/5*s**3 + 15*s. Factor y(f).
-2*(f - 3)**2/5
Suppose 5*q = c - 23, -2*c - 8 = 3*q - 2. Let v = -3741/92 - -163/4. Factor v*h**5 - 2/23*h**4 - 6/23*h**c + 10/23*h**2 + 0 - 4/23*h.
2*h*(h - 1)**3*(h + 2)/23
Let w(x) be the third derivative of x**6/300 + x**5/25 - 3*x**4/20 - 14*x**3/15 - 2062*x**2. Let w(b) = 0. What is b?
-7, -1, 2
Factor -25*r**4 + 288*r**3 + 2*r**5 + 117*r**2 + 103*r**4 + 26*r**2 - 40*r**2 + 177*r**2.
2*r**2*(r + 2)**2*(r + 35)
Let v(h) = -h**2 + 44*h + 1042. Let d be v(-17). Let x(p) be the second derivative of 1/40*p**d + 15*p + 1/24*p**4 - 1/6*p**3 + 0*p**2 + 0. Factor x(f).
f*(f - 1)*(f + 2)/2
Factor 21/5*d - 18/5 + 0*d**2 - 3/5*d**3.
-3*(d - 2)*(d - 1)*(d + 3)/5
Let p(w) be the first derivative of -w**5/20 - w**4/2 - w**3/2 + w**2 + 7*w/4 + 2816. Solve p(c) = 0 for c.
-7, -1, 1
Let m(y) = 79*y**3 + 22*y**2 - 350*y - 1916. Let p(w) = 143*w**3 + 43*w**2 - 700*w - 3831. Let o(s) = -9*m(s) + 5*p(s). Let o(r) = 0. What is r?
-7, 39/4
Suppose -25 = -4*u - d, 0 = -d - 2 + 7. Suppose 3*s + 10 = u*s. Factor -2*f**4 - 5*f**s - 9*f**4 - 4*f**4 + 17*f**4.
-f**4*(5*f - 2)
Suppose 0 = 3*u + u - 8. Let c be -17*1856/(-680) + -46. Factor 252/5*v**u + 432/5 + c*v**4 + 648/5*v + 38/5*v**3.
2*(v + 1)*(v + 6)**3/5
Let d(i) be the second derivative of i**4/24 - 416*i**3/3 + 173056*i**2 + 518*i - 2. Let d(n) = 0. What is n?
832
Let z(c) = 22*c - 69. Let o be z(5). Let 6 + 5*r**4 - 35 - 115*r**2 - 15*r**3 - 165*r - o = 0. What is r?
-2, -1, 7
Let h(w) = 4*w**3 - 28*w**2 - 24*w + 4. Let m(b) = -4*b**3 + 25*b**2 + 23*b - 3. Let j(i) = -3*h(i) - 4*m(i). What is o in j(o) = 0?
-1, 0, 5
Let v = -633/8 + 3173/40. Let k(m) be the first derivative of 15 - 4*m**3 + 4*m**2 + 3/2*m**4 - v*m**5 + 0*m. Suppose k(d) = 0. What is d?
0, 2
Let u be ((30/(-18))/(-5))/((-7)/(-84)). Suppose -5*p + 18 = u*l - 10*p, 5*l - p = 12. Suppose 1/2*m**l + 0 + 2*m = 0. What is m?
-4, 0
Let f(g) = 6*g**2 - 8*g - 8. Let l be f(4). Let r = l + -56. Factor 1/2*p**4 + 0*p**3 - 1/2*p**2 + 0*p + r.
p**2*(p - 1)*(p + 1)/2
Let b(m) be the first derivative of m**5/12 - 55*m**4/4 + 1815*m**3/2 + 56*m**2 - 96. Let a(y) be the second derivative of b(y). Factor a(j).
5*(j - 33)**2
Let 28*a**2 - 2689*a + 2*a**3 - 3*a**3 + 2749*a = 0. What is a?
-2, 0, 30
Solve -1/4*q**5 + 1/4 - 1/2*q**3 + 1/2*q**2 + 3/4*q - 3/4*q**4 = 0 for q.
-1, 1
Let k(n) = -16*n - 203. Let q be k(-13). Let l be (q + 1)*(-9)/(-18). Solve -15/7 + 15/7*v**2 - 3/7*v + 3/7*v**l = 0.
-5, -1, 1
Let o = 831 - 819. Suppose 0 = -4*b - o*n + 11*n + 16, -2*n - 3 = b. Factor -b*w - 1 + 75/4*w**2 + 125/2*w**3 - 625/4*w**4.
-(5*w - 2)**2*(5*w + 1)**2/4
What is a in 1187*a - 4320 + 18535*a**2 + 8939*a + 2414*a + 521*a**3 + 20*a**4 + 1174*a**3 = 0?
-72, -12, -1, 1/4
Let n(i) be the third derivative of i**7/30 + 37*i**6/120 - 27*i**5/20 + 23*i**4/24 + 7*i**3/3 + 6*i**2 + 4*i + 1. Factor n(b).
(b - 1)**2*(b + 7)*(7*b + 2)
Let a = -11759 + 11759. Let l(b) be the second derivative of 0*b**2 + 18*b + a + 1/42*b**4 - 5/21*b**3. Let l(h) = 0. Calculate h.
0, 5
Factor -9248*k - 192*k**3 + 890*k**2 - 3746*k**2 + 3434 - 4*k**4 + 55522.
-4*(k - 3)*(k + 17)**3
Let j(d) = -d**5 + d**3 + d. Let t be (-6)/(-9) - (-10)/(-6). Let y(c) = 6*c**5 + 3*c**4 - 3*c**3 - 5*c. Let h(f) = t*y(f) - 5*j(f). Factor h(l).
-l**3*(l + 1)*(l + 2)
Let i be 1062/324 + (2816/(-288) - -9). Find q, given that -15/4*q**2 + i*q - 1/4*q**4 + 4 - 5/2*q**3 = 0.
-8, -2, -1, 1
Let z be 240/200*(-8)/(-12). Let d(c) be the first derivative of 2*c**6 + 0*c**3 - 2*c**4 - 18 + 0*c**2 + z*c**5 + 0*c. Factor d(y).
4*y**3*(y + 1)*(3*y - 2)
Suppose 8 = 234*v - 233*v + 5*a, -v - 16 = -a. Let h be 7 + -10 + ((-693)/v)/11. What is o in 3/4*o**4 + 3/2*o + 0*o**3 - h*o**2 + 0 = 0?
-2, 0, 1
Let z(d) be the second derivative of -8/21*d**4 + 64/21*d**3 + 0*d**2 - 7*d + 1/70*d**5 + 3. Suppose z(r) = 0. Calculate r.
0, 8
Let o be (152 + 0)/(8 - (4 - -3)). Factor 2*h**4 - 96*h**2 + 16*h**3 - 3*h**4 - 216 + 408*h - o*h - 40.
-(h - 4)**4
Let k(v) be the first derivative of -3/4*v**2 - 1/8*v**4 + v**3 - 5*v + 28. Factor k(r).
-(r - 5)*(r - 2)*(r + 1)/2
Let w(n) be the first derivative of -n**5/40 + 17*n**4/8 - 289*n**3/4 - 7*n**2/2 + 8. Let k(l) be the second derivative of w(l). Solve k(a) = 0.
17
Factor 20/3*b**2 - 20/3 + 5/3*b - 5/3*b**3.
-5*(b - 4)*(b - 1)*(b + 1)/3
Let m(g) be the first derivative of 47 - 6*g**4 - 12*g + 16/5*g**5 + 13*g**2 - 4/3*g**3 - 1/3*g**6. Factor m(q).
-2*(q - 6)*(q - 1)**3*(q + 1)
Let n be 48/(-56)*336/(-18). Let w(o) be the second derivative of 0 + 0*o**3 + 1/90*o**5 + 0*o**4 - n*o + 0*o**2. Factor w(z).
2*z**3/9
Let w be ((-6)/57 - 0) + 1080/513. Solve u**2 + 2*u**w + 21*u**3 + u**2 + 5*u**2 = 0.
-3/7, 0
Solve -399*o + 4*o**3 - 1089*o**2 + 3159*o - 299*o**2 = 0.
0, 2, 345
Let d = 1040 - 1030. Let w be d/(-6) + (-7)/(385/(-121)). Find t such that -2/15*t**3 + 2/15*t - w*t**2 + 8/15 = 0.
-4, -1, 1
Let k(q) be the second derivative of -2*q**6/15 - 12*q**5/5 + 48*q**4 - 640*q**3/3 - 1311*q + 1. Factor k(n).
-4*n*(n - 4)**2*(n + 20)
Let u(r) be the third derivative of r**8/84 + 4*r**7/21 + 9*r**6/10 + 14*r**5/15 - 14*r**4/3 - 16*r**3 - 26*r**2 + 5. Suppose u(k) = 0. What is k?
-6, -2, -1, 1
Let s(h) be the third derivative of h**6/480 - h**5/30 + 5*h**4/24 - 2*h**3/3 + 949*h**2. Factor s(y).
(y - 4)*(y - 2)**2/4
Let v(b) be the third derivative of -b**6/90 - 3*b**5/10 - 7*b**4/3 + 103*b**3/6 + 2*b**2 - 35. Let k(l) be the first derivative of v(l). Solve k(t) = 0 for t.
-7, -2
Suppose 4*o + 9*c - 24 = 11*c, -36 = -2*o - 5*c. Suppose -31 + 34 + 4*y + y**3 - y + y**2 - o*y = 0. Calculate y.
-3, 1
Let c = -3653/2 + 5480/3. Let r(a) be the third derivative of -2*a**2 - 1/12*a**4 - 7/60*a**6 + 1/35*a**7 + 0*a**3 + 0 + 0*a + c*a**5. Factor r(n).
2*n*(n - 1)**2*(3*n - 1)
Let d be (-3)/(-48) + (-97717)/80. Let f = -1221 - d. Find h, given that -2/5*h**3 - 8/5*h**2 + f*h**4 + 1/5*h**5 - 2/5 - 7/5*h = 0.
-1, 2
Let f = 492 - 453. Factor 5*l + 8*l**5 + 146*l**4 - 181*l**4 + 3*l**5 - 3*l + f*l**3 - 17*l**2.
l*(l - 1)**3*(11*l - 2)
Let m be (1 + (-87)/9)*339/240. Let g = m - -99/8. Factor 0*y**2 - 2/15*y**5 - g*y**4 + 0*y**3 + 0 + 0*y.
-2*y**4*(y + 1)/15
Let -29*q**2 + 21*q**2 - 6*q**2 - 252 + 540*q - 37*q**2 + 1608*q = 0. Calculate q.
2/17, 42
Determine u, given that 330 + 74 - 12*u**2 + 15*u**3 + 3*u**4 - 512 - 135*u - 3*u**2 = 0.
-4, -3, -1, 3
Factor 0 - 38/7*h**2 + 17/7*h**3 + 8/7*h.
h*(h - 2)*(17*h - 4)/7
Let r(c) = -c**2 - 534*c - 33262. Let o be r(-72). Suppose -49/8*n**3 + o - 29/2*n + 28*n**2 = 0. Calculate n.
2/7, 4
Let m(o) = -o**2 - 109*o - 2812. Let r be m(-67). Let d be (6/56)/(1/4). Factor 1/7*w**5 + 3/7*w**3 + 0*w + 0 - d*w**4 - 1/7*w**r.
w**2*(w - 1)**3/7
Let o(u) be the first derivative of -2*u**5/5 - 19*u**4 - 856*u**3/3 - 1258*u**2 - 1734*u + 5864. What is j in o(j) = 0?
-17, -3, -1
Let n(o) be the first derivative of -o**7/210 + 2*o**6/45 - o**5/30 - o**4 + 76*o**3/3 - 34. Let v(b) be the third derivative of n(b). Factor v(q).
-4*(q - 3)*(q - 2)*(q + 1)
Solve -96*f**3 - 108*f - 92*f**4 - 51*f**5 + 300*f**3 + 176*f**2 - 20*f - 38*f**5 + 97*f**5 = 0 for f.
-1, 0, 1/2, 4, 8
Let s be 2/(-8) + 2 + (-45)/(-20). Suppose -2/3*c**2 - 10/3 - s*c = 0. Calculate c.
-5, -1
Let y(h) be the third derivative of -h**7/1575 + 7*h**6/225 + 31*h**5/150 - h**2 + 256*h - 2. Factor y(r).
-2*r**2*(r - 31)*(r + 