. Let r(q) be the first derivative of 0*q**2 + 0*q - q**5 - 3 - 25/4*q**4 + d*q**3. Suppose r(t) = 0. Calculate t.
-5, 0
Let h(g) = 11*g**2 - 1. Let v(j) = 10*j**2 + 1174*j - 344570. Let s(q) = -3*h(q) + 3*v(q). Find n, given that s(n) = 0.
587
Let -1/3*c**5 - 329/3*c**4 + 45705*c + 9626*c**2 + 27225 - 26890/3*c**3 = 0. Calculate c.
-165, -1, 3
Let j(r) be the third derivative of 1/900*r**6 - 13*r**2 + 7/9*r**4 - 2 - 11/225*r**5 - 40/9*r**3 + 0*r. Factor j(x).
2*(x - 10)**2*(x - 2)/15
Let n(p) be the second derivative of -9/2*p**2 - p**3 + 24*p + 0 + 1/4*p**4. Factor n(m).
3*(m - 3)*(m + 1)
Let b(z) be the third derivative of -47*z**5/42 - 352*z**4/21 + 4*z**3/7 - 15345*z**2. Find j such that b(j) = 0.
-6, 2/235
Let v(k) be the third derivative of -k**8/224 + 169*k**6/80 - 5954*k**2. Factor v(q).
-3*q**3*(q - 13)*(q + 13)/2
Solve 144/19 - 2/19*r**2 + 2/19*r = 0.
-8, 9
Find q, given that -362 - 8*q**2 - 31*q + 365 + 24*q**2 + 91*q + 41*q**2 = 0.
-1, -1/19
Let l(s) be the first derivative of -3/4*s**4 + 1/6*s**6 + 0*s - 3*s**2 + 11/3*s**3 - 3/5*s**5 - 55. Factor l(h).
h*(h - 3)*(h - 1)**2*(h + 2)
Let o = -39715 + 39720. Factor 0*c + 1/6*c**o + 0 + 1/2*c**2 - 5/6*c**3 + 1/6*c**4.
c**2*(c - 1)**2*(c + 3)/6
Suppose -2*k = -43*c + 48*c - 1193, 2*c - 5*k - 454 = 0. Let b = 237 - c. Factor b*n - 3/4*n**3 + 3/2*n**2 + 0.
-3*n**2*(n - 2)/4
Let f(y) = -y**2 + 5*y + 52. Let v be f(-5). Suppose q**v - 76*q - 314 - 4*q**2 + 71 + 22*q = 0. Calculate q.
-9
Let j(f) be the first derivative of -2/27*f**3 - 338/9*f - 26/9*f**2 - 149. Factor j(i).
-2*(i + 13)**2/9
Let j(b) be the first derivative of b**3/3 - 97*b**2/2 + 1478. Factor j(i).
i*(i - 97)
Let b(p) be the second derivative of p**4/12 + 127*p**3/2 - 191*p**2 + 433*p. Factor b(v).
(v - 1)*(v + 382)
Factor 27/2*u**3 + 81/2*u + 153/2*u**2 - 5/2*u**4 + 0.
-u*(u - 9)*(u + 3)*(5*u + 3)/2
Find i such that 80/11 + 2/11*i**3 - 2/11*i**2 - 4*i = 0.
-5, 2, 4
Let m(i) be the third derivative of i**5/12 + 815*i**4/3 + 6515*i**3/6 - 1899*i**2. Factor m(r).
5*(r + 1)*(r + 1303)
Let o be -2 - -3 - (141456/66028)/12. Let a = o - -2/971. Factor -a*q**3 + 24/17*q**2 - 6/17*q - 4/17.
-2*(q - 1)**2*(7*q + 2)/17
Let c(a) be the second derivative of -7*a**5/15 - 743*a**4/90 + 59*a**3/9 - 22*a**2/15 + 123*a - 1. Solve c(q) = 0.
-11, 1/10, 2/7
Let c(p) be the third derivative of -2*p**7/21 + 7*p**6/24 - p**5/6 - 5*p**4/24 + 3*p**2 - 1172. Determine i so that c(i) = 0.
-1/4, 0, 1
Let y(z) = -z**4 - 6*z**3 - 16*z**2 - 12*z - 7. Let v(g) = 3*g**4 + 18*g**3 + 47*g**2 + 36*g + 20. Let n(i) = 3*v(i) + 8*y(i). Factor n(s).
(s + 1)**2*(s + 2)**2
Let v be 0*(-2)/(-28) - 44/1. Let y be v/(-90)*(78 + -73). Factor 0 - 14/9*i**3 - 2/9*i**4 - y*i**2 - 10/9*i.
-2*i*(i + 1)**2*(i + 5)/9
Suppose 6*x - 6 = -42. Let p be (-2 - (-8)/x)/((-6)/9). Factor 0*j**3 + 4*j**5 - p*j**3 + j**3 + 8*j**4 - 8*j**2.
4*j**2*(j - 1)*(j + 1)*(j + 2)
Let c(z) be the first derivative of -1/24*z**3 - 10 + 1/48*z**4 + 0*z - 1/240*z**5 - 9/2*z**2. Let a(j) be the second derivative of c(j). Factor a(y).
-(y - 1)**2/4
Let l be (64/9120*15)/(82/16 + -5). Factor -16/19*w + l*w**3 + 2/19*w**4 - 2/19*w**2 + 0.
2*w*(w - 1)*(w + 1)*(w + 8)/19
Let y(m) be the third derivative of m**7/105 - 13*m**5/10 - 35*m**4/6 - 1077*m**2. Suppose y(p) = 0. Calculate p.
-5, -2, 0, 7
Let u(h) be the second derivative of 1/3*h**6 + 4*h + 5/4*h**5 + 10/3*h**3 - 55/12*h**4 + 0*h**2 - 21. Find r such that u(r) = 0.
-4, 0, 1/2, 1
Suppose -h = 3*u - 10 - 13, -6 = 3*u. Suppose -720 = -33*v + h*v. Determine b, given that -187*b + 20 - 235*b**2 - v*b + 267*b + 900*b**3 + 1620*b**4 = 0.
-1/2, 2/9
Let o(r) be the third derivative of -5*r**4/24 - 23*r**3/3 + 31*r**2. Let y be o(-10). Suppose 12*z**2 - y*z**3 - 5*z**3 - 5*z + 6*z**3 - 4*z = 0. What is z?
0, 1, 3
Let u(t) be the first derivative of -185/2*t**2 - 8 + 70*t + 25/3*t**3. Factor u(r).
5*(r - 7)*(5*r - 2)
Find f, given that -2/9*f**2 + 40/9*f + 448/9 = 0.
-8, 28
Factor 0*n + 0 - 1/4*n**2 + 31/2*n**3 - 961/4*n**4.
-n**2*(31*n - 1)**2/4
Suppose 13*m - 10*m = 72. Let l = m + -7. Determine z, given that 5*z**3 + 25 + 3*z - 28 + 13*z - z**3 - l*z**2 = 0.
1/4, 1, 3
Factor 8748 - 108*g + 1/3*g**2.
(g - 162)**2/3
Factor -8/9*p**3 - 4/9*p - 2/9 + 14/9*p**2.
-2*(p - 1)**2*(4*p + 1)/9
Let w(a) = -2*a**3 - a**2 + 11*a - 20. Let b be w(0). Let o be -5*(8/5 - (22 + b)). Factor 1/2 - 1/4*m**o - 1/4*m.
-(m - 1)*(m + 2)/4
Let x(i) be the first derivative of -i**4 - 440*i**3/3 - 426*i**2 + 1296*i - 4888. Find c such that x(c) = 0.
-108, -3, 1
Factor -601*d**2 - 96 + 93*d**3 + 605*d + 931*d - 9*d**2 - 140*d**2.
3*(d - 4)**2*(31*d - 2)
Let z(j) be the second derivative of -2*j**6/15 + 21*j**5/5 - 137*j**4/3 + 186*j**3 - 324*j**2 - 7*j + 79. Factor z(v).
-4*(v - 9)**2*(v - 2)*(v - 1)
Let j(c) be the first derivative of 20*c**3/3 + 2035*c**2/2 - 510*c - 4115. Factor j(r).
5*(r + 102)*(4*r - 1)
What is v in 112 + 104*v + 248*v**2 + 241*v**2 + 6*v**3 - 581*v**2 = 0?
-2/3, 2, 14
Factor 128 + 40/3*f + 2/9*f**2.
2*(f + 12)*(f + 48)/9
Suppose -47*x - 97 = -426. Let n(q) be the third derivative of -1/12*q**4 + 0 + 9*q**2 + 0*q**3 - 7/540*q**6 - 1/18*q**5 - 1/945*q**x + 0*q. Factor n(z).
-2*z*(z + 1)*(z + 3)**2/9
Let u(s) = 3*s**2 + 8*s - 21. Let j be u(2). Suppose 0 = -2*o + h - 2, 6*h - j*h = -2. Factor -2/5*t**3 + 0 - 2/3*t**4 + o*t + 4/15*t**2.
-2*t**2*(t + 1)*(5*t - 2)/15
Let j be (37 + 1)/(-1 + (-889)/(-907)). Let r = j + 1915. What is f in -r*f - 2/9*f**2 + 0 + 4/9*f**3 = 0?
-1/2, 0, 1
Factor -2*h**4 + 1968 + 656611*h**2 + 62*h**3 + 885*h + 1363*h - 655847*h**2.
-2*(h - 41)*(h + 2)**2*(h + 6)
Let c be (872/36 - 0) + (-20)/90. Find l such that -4 + 24 - 769*l**2 + 778*l**2 + 0 + c*l + l**3 = 0.
-5, -2
What is l in -331*l + 551*l - 95*l**2 - 125*l**2 + 240 - 5*l**3 + 15*l**4 = 0?
-4, -2/3, 2, 3
Let y = -12/41 + 323/123. Let v be -14 - (-10 + (-112)/24). Factor -y*r**2 - v + 3*r.
-(r - 1)*(7*r - 2)/3
Let c be (-3)/15 + ((-156)/130)/((-10)/5). Let c*d - 1/5*d**2 + 0 + 1/5*d**4 - 2/5*d**3 = 0. Calculate d.
-1, 0, 1, 2
Let b = 4279/12 - 1423/4. Let p(h) be the second derivative of 5/12*h**4 + 0*h**2 + 5*h - b*h**3 + 0. Find l such that p(l) = 0.
0, 1
Factor 33*k**2 - 25*k**2 - 1104*k + 167*k**2 + 79*k**2 + 1088 - 4*k**3 + 34*k**2.
-4*(k - 68)*(k - 2)**2
Let c(m) be the second derivative of -3*m**5/20 + 29*m**4/6 + 5*m**2/2 - 2*m - 19. Let o(b) = 4*b**3 - 88*b**2 - 8. Let z(s) = 8*c(s) + 5*o(s). Factor z(r).
-4*r**2*(r - 6)
Let k(o) be the second derivative of -6*o**2 + 8/3*o**3 + 1/15*o**5 + 0 - 5/6*o**4 - 5*o. Let y(a) be the first derivative of k(a). Let y(p) = 0. Calculate p.
1, 4
Let v = -2664 + 2674. Let d(x) be the first derivative of -x - x**2 - 1/16*x**4 - 5/12*x**3 - v. Suppose d(s) = 0. What is s?
-2, -1
Let n = -250981/7 + 35855. What is g in 0 + n*g - 1/7*g**2 = 0?
0, 4
Let u(h) = -h**2 - 159*h - 466. Let w be u(-3). Let z(t) be the first derivative of -2*t - 6*t**w - 8 + 14/3*t**3. Factor z(x).
2*(x - 1)*(7*x + 1)
Let z(g) be the second derivative of -g**10/40320 + g**8/2240 - g**4/12 + 145*g. Let x(i) be the third derivative of z(i). Factor x(j).
-3*j**3*(j - 2)*(j + 2)/4
Let w(u) be the second derivative of 8*u**7/21 + 38*u**6/3 + 548*u**5/5 - 239*u**4/3 - 368*u**3 + 288*u**2 - 2421*u. Find l such that w(l) = 0.
-12, -1, 1/4, 1
Determine o, given that 54*o**3 - 162*o**3 + 4*o**2 + 45*o**3 + 49*o**3 - 4*o**4 + 14*o**5 = 0.
-1, 0, 2/7, 1
Determine s, given that 13/2*s**2 + 1/6*s**3 - 37/2 + 71/6*s = 0.
-37, -3, 1
Let j(x) = -6*x - 93. Let r be j(-16). Factor -68*g**2 - 28*g**3 + 98*g**r - 7*g**4 - 5*g**4 - 14*g**3 + 24*g.
-4*g*(g - 3)*(g - 1)*(3*g - 2)
Let d(f) be the first derivative of -3*f**2 + 6*f - f**4 + 17 - 15/4*f**3 + 9/40*f**5. Let h(n) be the first derivative of d(n). Find o, given that h(o) = 0.
-1, -1/3, 4
Let o(k) be the second derivative of -k**5/16 + 1535*k**4/48 - 14630*k**3/3 - 29645*k**2/2 + 2947*k. What is i in o(i) = 0?
-1, 154
Let t = -57 - -61. Suppose 5*l - 16 = t. Let -1 - 4*v - l*v**2 + 6 - 3 + 6 = 0. What is v?
-2, 1
Let h(x) = x**2 - 11*x + 40. Let v(a) = -2 - 12*a + 2 - a + 2*a**2 + 41. Let p(z) = 5*h(z) - 4*v(z). Let p(d) = 0. What is d?
-4, 3
Solve 94*v - 381*v + 103*v + 108 + 67*v + 2*v**2 + 75*v = 0 for v.
3, 18
Factor 81*r**