 that x(r) = 0.
-2, 1, 3, 4
Suppose -32 = 4*f, -31 = -5*p - 854*f + 851*f. Factor -9/2*r**4 - 4*r - 12*r**3 - p*r**2 - 1/2.
-(r + 1)**2*(3*r + 1)**2/2
Let t(v) be the third derivative of -1/360*v**6 + 0*v + 1/72*v**4 - v**2 + 1/180*v**5 - 1/18*v**3 - 71. Factor t(m).
-(m - 1)**2*(m + 1)/3
Suppose 358*i - 810 = -94. Factor 45/2*b + 3/2*b**4 + 3*b**i - 25/2 - 19*b**3 + 9/2*b**5.
(b - 1)**3*(3*b + 5)**2/2
Let c(s) be the third derivative of 0*s**3 - 1/56*s**6 + 0 + 13/140*s**5 + 3/28*s**4 + 30*s**2 + 0*s. Determine z, given that c(z) = 0.
-2/5, 0, 3
Let u = 69 + -70. Let o be (-2)/(-6) + (2/u)/6. Factor 6*g**4 + 1 - g**5 + o + 6*g**2 + 10*g**2 + 1 - 9*g - 14*g**3.
-(g - 2)*(g - 1)**4
Let r(z) be the first derivative of z**4/6 + 50*z**3 + 5625*z**2 + 281250*z + 1156. Factor r(v).
2*(v + 75)**3/3
Let x(n) be the first derivative of -n**5/2 - 205*n**4/4 - 200*n**3 - 595*n**2/2 - 395*n/2 - 4827. Determine i so that x(i) = 0.
-79, -1
Let 686*a**2 + 0*a**3 - 12*a**3 + 1366*a - 6*a**3 + 20*a**3 - 1 + 683 = 0. Calculate a.
-341, -1
Let t be (8 + 0)/2*(-5250)/(-1680). Let h(z) be the first derivative of -15/4*z**4 - 35/3*z**3 - 17 - t*z**2 - 5*z. What is v in h(v) = 0?
-1, -1/3
Let j(w) = -21*w - 38. Let q be j(-3). Let x be q/20 + 30/40. Solve -4/9 + 2/9*c**x - 2/9*c = 0 for c.
-1, 2
Factor -13*p - 14*p - 27 - 35 - p**2 + 2*p**2 - 2*p.
(p - 31)*(p + 2)
Solve -4/9*i**4 + 0 + 0*i + 8/9*i**3 + 32/3*i**2 = 0.
-4, 0, 6
Let b = -6 + 50. Let j = b + -42. Solve 24*r**5 - 2*r**2 - 2*r**j - 54*r**5 + 28*r**5 + 6*r**3 = 0 for r.
-2, 0, 1
Let f = 67025 - 268099/4. Find l, given that 0 + f*l**4 - l + 0*l**2 + 3/4*l**3 = 0.
-2, 0, 1
Let k(f) be the first derivative of f**5/60 + f**4/9 + 2*f**3/9 - 61*f - 101. Let n(c) be the first derivative of k(c). Factor n(r).
r*(r + 2)**2/3
Let o(j) = 969*j**3 - 19338*j**2 - 2160*j - 60. Let y(m) = -970*m**3 + 19336*m**2 + 2159*m + 60. Let v(q) = 2*o(q) + 3*y(q). Factor v(a).
-3*(a - 20)*(18*a + 1)**2
Let i(h) be the first derivative of -h**5/5 - 71*h**4/2 - 4897*h**3/3 + 5112*h**2 - 5184*h + 2588. Let i(d) = 0. What is d?
-72, 1
Let w(q) be the third derivative of 13/72*q**4 + 0*q - 1/15*q**5 + 0*q**3 - 1/360*q**6 - 51*q**2 + 2. Solve w(t) = 0.
-13, 0, 1
Let y(r) be the third derivative of -r**5/12 - 515*r**4/24 + 175*r**3 + 46*r**2 - 3. Factor y(f).
-5*(f - 2)*(f + 105)
Suppose 11*v - 257 = 8*v - a, 0 = -5*v + a + 423. Let y be 5/6 - v/255. Factor -1/3 - 1/2*z + 1/3*z**3 + y*z**2.
(z - 1)*(z + 2)*(2*z + 1)/6
Factor 2*w**3 - 1068322 + 0*w**3 + 142*w**2 + 1068322.
2*w**2*(w + 71)
Let d(z) be the first derivative of 2*z**5/15 - 4*z**4 + 122*z**3/3 - 460*z**2/3 + 200*z - 1452. Let d(l) = 0. Calculate l.
1, 3, 10
Let o = 26208 + -26200. Let d(a) be the first derivative of -o*a**2 + 2/3*a**3 + 14*a + 29. Find k such that d(k) = 0.
1, 7
Let a(i) = -6*i**2 - 16*i. Let t be a(-3). Let p be ((t - -3) + 2)/((-15)/30). Let -192/7 - 3/7*v**p - 48/7*v = 0. Calculate v.
-8
Let x(b) be the third derivative of 0*b**3 + 0*b**4 + 31*b**2 + 0*b + 1/60*b**6 - 1/10*b**5 + 0. Find o, given that x(o) = 0.
0, 3
What is i in 13*i**5 - 34217*i**3 + 404*i**4 - 14*i**5 - 6587*i**3 = 0?
0, 202
Let n be 32/(-96) + 14/6. Factor -h + 9*h**2 - 6 - 5*h**2 + 9*h - 6*h**n.
-2*(h - 3)*(h - 1)
Let j(u) be the first derivative of 2*u**3/21 + 94*u**2/7 + 4418*u/7 - 2582. Find g such that j(g) = 0.
-47
Determine r, given that -866/3*r**5 + 0 + 0*r**3 + 0*r**2 - 4/3*r**4 + 0*r = 0.
-2/433, 0
Let j(p) be the third derivative of -2*p**4 + 0 + 0*p**3 + 35*p**2 + 1/84*p**8 + 3/10*p**6 + 4/15*p**5 + 0*p - 4/35*p**7. Factor j(i).
4*i*(i - 3)*(i - 2)**2*(i + 1)
Let -10*j**2 - 1/2*j**3 + 147/2*j - 117 = 0. What is j?
-26, 3
Find n, given that 67/6*n**4 - 14*n**2 + 0 - 1/2*n**5 - 200/3*n + 34*n**3 = 0.
-2, 0, 4/3, 25
Let p(b) be the first derivative of 2/55*b**5 + 12/11*b**2 - 2/11*b**4 - 8 + 18/11*b - 4/33*b**3. Factor p(j).
2*(j - 3)**2*(j + 1)**2/11
Let m = -1/628116 + 418745/628116. Factor -m*g + 2/15*g**2 - 16/5.
2*(g - 8)*(g + 3)/15
Let h be 5 + (2 - 3) - (-16 - 2). Let s = h + -18. Factor 2*i**2 - 12*i**3 - s*i**4 + 2*i**5 + 0*i**5 + 6*i**3 + 2*i**4 + 4*i.
2*i*(i - 2)*(i - 1)*(i + 1)**2
Let p be ((-360)/(-135))/(1 - -15). Factor 1/3*f + 1/2 + p*f**4 - 2/3*f**2 - 1/3*f**3.
(f - 3)*(f - 1)*(f + 1)**2/6
Let k(p) be the second derivative of -p**5/5 + 215*p**4/3 - 428*p**3/3 + 1693*p. What is s in k(s) = 0?
0, 1, 214
Let d be (2/(-20))/(14/(-715155)). Let t = d - 5077. Factor -5/4*k**3 + t - 75/4*k - 45/4*k**2.
-5*(k - 1)*(k + 5)**2/4
Factor -9*c**4 - 109*c**2 + 99*c**2 + 54*c - 84*c**3 - 11*c**2 + 0*c**4.
-3*c*(c + 1)*(c + 9)*(3*c - 2)
Let w(b) be the second derivative of b**5/100 + 13*b**4/30 + 23*b**3/30 - 5*b**2 - 34*b + 23. Let w(x) = 0. Calculate x.
-25, -2, 1
Determine b, given that 66 - 339/5*b**3 + 999/5*b**2 + 3/5*b**4 - 993/5*b = 0.
1, 110
Let l be 11 + 0 - (-5)/5. Factor 18*s + l*s + 12*s + s**2 - 34*s.
s*(s + 8)
Suppose -x = 128 - 148. Factor -30*o**3 + 35*o**3 - 43*o**2 + 58*o**2 - x.
5*(o - 1)*(o + 2)**2
Let r be (0 + (-84)/12 - (-78)/11) + 1. Determine u so that -r*u**2 + 42/11*u + 90/11 = 0.
-3/2, 5
Let f(r) be the first derivative of -4*r + 27/13*r**2 + 56 - 2/39*r**3. Factor f(g).
-2*(g - 26)*(g - 1)/13
Let c(t) be the third derivative of t**8/4032 - 17*t**7/1008 + t**6/9 - t**5/12 + t**4/4 + 56*t**2 - 2. Let f(y) be the third derivative of c(y). Factor f(m).
5*(m - 16)*(m - 1)
Let o = 10/3487 - -281047/488180. Let u = o - 1/140. Factor 16/7*h - 16/7 + u*h**2 - 4/7*h**3.
-4*(h - 2)*(h - 1)*(h + 2)/7
Suppose 4*z + k = -3*k - 220, 0 = -2*k + 2. Let g = 59 + z. Factor 3*c + 5*c**2 + 8*c - 1 + 4 - 4*c + c**g.
(c + 1)**2*(c + 3)
Let x(o) = o**4 + o**3 - o + 1. Let i(p) = p**5 + 23*p**4 + 164*p**3 + 540*p**2 + 646*p + 2. Let r(z) = -i(z) + 2*x(z). Factor r(a).
-a*(a + 3)*(a + 6)**3
Suppose 49*d - 133*d + 1798 = 507*d + 308*d. Suppose -2/9*z**3 + 0 + 76/9*z**d - 74/9*z = 0. Calculate z.
0, 1, 37
Let h(l) be the third derivative of l**6/480 + 95*l**5/48 - 119*l**4/24 - 99*l**2 + 2*l. Factor h(w).
w*(w - 1)*(w + 476)/4
Let l be ((-8)/(-4) - -2) + 0. Factor -36 + 6*m**l + 3*m**4 - 2*m**4 - 84*m + 131*m**2 + 0*m**4 - 26*m**3 - 28*m**3.
(m - 3)**2*(m - 2)*(7*m + 2)
Let f(t) be the third derivative of -t**6/24 + 11*t**5/12 - 35*t**4/24 - 245*t**3/2 + 10*t**2 - 5*t. Factor f(z).
-5*(z - 7)**2*(z + 3)
Let t(g) be the first derivative of -7*g**2 - 175 + 12*g + 2/3*g**3. Find k, given that t(k) = 0.
1, 6
Determine i, given that 0 - 6/5*i**3 - 267/5*i**4 + 267/5*i**2 + 6/5*i = 0.
-1, -2/89, 0, 1
Suppose -4*u + 9 = -3*x + 98, -2*x + u + 56 = 0. Let y be (94/(-423))/(-3*4/x). Solve 0 + 1/4*w**5 + y*w**4 + w**2 - 7/4*w**3 + 0*w = 0 for w.
-4, 0, 1
Let a(s) be the first derivative of -12*s - 4/3*s**3 - 8*s**2 - 55. What is k in a(k) = 0?
-3, -1
Let m(s) = -70*s**2 + 116785*s + 33350. Let r(z) = 35*z**2 - 58381*z - 16674. Let u(q) = 2*m(q) + 5*r(q). Factor u(f).
5*(f - 1667)*(7*f + 2)
Solve -34919 - u**2 - 27*u**2 + 942419 + 3300*u + 31*u**2 = 0.
-550
Let g(x) be the first derivative of 0*x + 1/2*x**2 - 1/24*x**4 - 157 - 5/18*x**3. Factor g(z).
-z*(z - 1)*(z + 6)/6
Let a(f) be the first derivative of -f**5/20 - f**4/6 + 7*f**3/6 - 2*f**2 - 17*f - 55. Let n(z) be the first derivative of a(z). Factor n(c).
-(c - 1)**2*(c + 4)
Suppose -73*r + 10017 = -72*r. Let w be (-2)/20*-2 - r/(-945). Solve 8/5*d - 108/5*d**4 + 0 + 162/5*d**5 - w*d**3 + 24/5*d**2 = 0 for d.
-1/3, 0, 2/3
Let b be ((-18)/3)/(-3) + (-1 - -1). Let x = 75 + -73. Factor -2*u - 4*u**x + 2*u**3 + u**2 - u**b - 4*u**3.
-2*u*(u + 1)**2
Let a(y) be the first derivative of -y**4 - 12*y**3 + 20*y**2 - 4573. What is j in a(j) = 0?
-10, 0, 1
Let l = -14546 - -72802/5. What is z in 27/5 - l*z**4 + 99/5*z - 99/5*z**3 + 57/5*z**2 - 12/5*z**5 = 0?
-3, -1/2, 1
Find u such that 12/5 + 516/5*u + 249/5*u**2 - 51*u**3 = 0.
-1, -2/85, 2
Let g = 1/49391 + 246952/148173. Solve -2/3*m**4 - g*m**2 + 10/3*m**3 - 1/6*m**5 - 19/6*m + 7/3 = 0.
-7, -1, 1, 2
Suppose 5*m + 14 = 99. Let b(q) = -q**2 + 16*q + 21. Let u be b(m). Solve 12*x**2 - 8*x**2 - 7*x - 8 + x**2 - u*x**2 = 0 for x.
-1, 8
Let t(u) be the second derivative of u**7/21 - 6*u**6/5 + 13*u**5/2 + 14*u**4 + 5514*u. Suppose t(r) = 0. Calculate r.
-1, 0, 7, 12
Factor 0 - 1/3*q**3 - 10