e of -t**5/30 - 4*t**4/9 - 4*t**3/3 - t + 391. Solve b(d) = 0 for d.
-6, -2, 0
Let a be (10/9)/(-16 + (-5408)/(-336)). Let b(s) be the first derivative of -5/4*s**4 + 7 - a*s**3 - 55/2*s**2 - 25*s. Factor b(u).
-5*(u + 1)**2*(u + 5)
Let x(z) be the second derivative of z**5/60 - 20*z**4/9 - 425*z**3/18 - 6985*z. Suppose x(o) = 0. Calculate o.
-5, 0, 85
Suppose -3*o = -o - m - 113, 5*m + 241 = 4*o. Let c be (-12)/(-4) + -5 + 120/o. Factor -c*z**2 + 4/3*z - 10/9.
-2*(z - 5)*(z - 1)/9
Let w(o) = 19*o + 75. Let y be w(-7). Let a be y/493 - (-1098)/85. Solve a*p**2 - 56/5*p**3 - 4/5*p**5 + 24/5*p**4 + 8/5 - 36/5*p = 0.
1, 2
Let r(j) = 4352*j + 47874. Let a be r(-11). Factor 24/11 + 8/11*o - 2/11*o**a.
-2*(o - 6)*(o + 2)/11
Let j = -710 + 717. Suppose 10*a + j*a = 68. Find o such that 2/17 - 4/17*o**2 + 0*o**3 + 0*o + 2/17*o**a = 0.
-1, 1
Let u be (880/64 - (9 - -6))/(-5). Let 5/4*d - u*d**2 + 7/2 = 0. Calculate d.
-2, 7
Let z(m) be the second derivative of 3*m**5 - 59*m**4/4 + 37*m**3/2 + 3*m**2 + 4*m + 3. Suppose z(x) = 0. Calculate x.
-1/20, 1, 2
Let 0*w + 0 + 24*w**2 + 16*w**4 + 4/3*w**5 + 116/3*w**3 = 0. Calculate w.
-9, -2, -1, 0
Let y be (6/(-432)*6)/((-13)/78). Determine n so that -1/4*n**2 - y*n - 1/4 = 0.
-1
Let 2805*v - 5711*v**3 + 1050 + 31*v**4 + 17*v**4 + 6551*v**3 + 2547*v**2 = 0. What is v?
-14, -5/4, -1
Let t(k) be the first derivative of -k**5/15 + 335*k**4/6 - 37631*k**3/3 + 111890*k**2/3 - 111556*k/3 + 2798. Factor t(m).
-(m - 334)**2*(m - 1)**2/3
Suppose 1108*a + 539*a = 3375 - 81. What is j in -8/7 + 1/7*j**a - j = 0?
-1, 8
Let n(y) = y**2 + 15*y + 2. Let q be n(-15). Let h = -3 - -5. Determine p, given that p - 6*p - 19*p + 2*p**h + q*p**2 = 0.
0, 6
Let -44/15*k**2 + 0*k - 46/15*k**3 - 2/15*k**4 + 0 = 0. Calculate k.
-22, -1, 0
Let p(k) = -k**2 + 9*k - 12. Let v be p(7). Suppose 5*j + x - 20 = 0, 2*x = 5*j - v - 3. Factor 12*t**2 - 3*t**3 + 0*t**j - 45*t + 48*t - 12.
-3*(t - 4)*(t - 1)*(t + 1)
Factor -159526716 + 2*v**4 + 110*v**2 - 34*v**3 - 78*v + 159526716.
2*v*(v - 13)*(v - 3)*(v - 1)
Let k(p) be the first derivative of 0*p**2 - 47 + 12*p**5 + 3*p**6 - 23/2*p**4 + 8/3*p**3 + 0*p. Solve k(s) = 0 for s.
-4, 0, 1/3
Let d(z) = -3*z**2 + 13*z. Let c(v) = -v**2 - v + 3. Let u be c(1). Let o(w) = -36*w**2 - 77*w + 54*w**2 + u + 0. Let h(a) = -34*d(a) - 6*o(a). Factor h(f).
-2*(f - 3)*(3*f - 1)
Let y(u) be the second derivative of 64/15*u**5 + 28*u - 16/3*u**4 - 2 - 2/3*u**2 + 8/3*u**3. Let y(a) = 0. Calculate a.
1/4
Let c be 112/18*(-1452)/(-847). Solve c*x - 4/3*x**2 - 28/3 = 0 for x.
1, 7
Let b(i) = -i**2 - 12847*i + 38552. Let c be b(3). Solve 12*m + 0 + 1/5*m**3 - 61/5*m**c = 0 for m.
0, 1, 60
Let n(u) be the second derivative of u**5/8 + 89*u**4/12 + 103*u**3/12 - 35*u**2/2 + 1005*u + 5. Factor n(a).
(a + 1)*(a + 35)*(5*a - 2)/2
Suppose -939 = -259*n + 356. Let t(z) be the first derivative of 0*z**2 + 0*z - 2/57*z**3 + n. Suppose t(o) = 0. Calculate o.
0
Let t = -3/1952 + 6841/5856. Solve t*x - 1/6*x**2 + 3 = 0 for x.
-2, 9
Let r = 284 + -253. Find i such that -r*i**3 + 24*i**4 + 34*i**2 + i**3 - 21*i**4 - 7*i**2 = 0.
0, 1, 9
Let z be (-7 + 17)*((-3014)/(-110) + -27). Find c such that 69/4*c**3 + 12*c**2 + 0 + 3*c + 9/4*c**5 + 21/2*c**z = 0.
-2, -1, -2/3, 0
Suppose -4*p + 41 = 2*h + 15, -4*h + 3*p + 19 = 0. Suppose -4*d + h = -3*j, -j + d = 2*j - 5. Factor 0 + 1/4*o**2 - 1/4*o**4 - 1/4*o**j + 1/4*o.
-o*(o - 1)*(o + 1)**2/4
Let q = -80 - -79. Let n be q/(-2) + (-315)/(-14). Solve -15*r**4 + 45*r - 75*r**2 - 10 + 40*r**3 - 8*r**3 + n*r**3 = 0.
2/3, 1
Find q, given that -2/3*q**2 - 192200/3 + 1240/3*q = 0.
310
Let a(p) be the third derivative of -p**6/840 - 41*p**5/420 - 23*p**4/7 - 408*p**3/7 + 1747*p**2 + 2*p. Factor a(m).
-(m + 12)**2*(m + 17)/7
Let n = -1300275/2 + 650157. Factor -1/2*q**3 + q**2 + n*q + 36.
-(q - 8)*(q + 3)**2/2
Let y be -2 + (-30)/(-10) + (1 - -82). Find x such that -358*x**4 + 28*x + 110*x**4 + 12*x**2 - y*x**5 - 60*x**2 + 8 + 0 - 232*x**3 = 0.
-1, -2/7, 1/3
What is x in x**4 - 101*x**2 + 272*x**2 + 12*x - 100*x**2 - 84*x**2 = 0?
-4, 0, 1, 3
Let s(v) be the first derivative of 2*v**3/15 - 205*v**2 + 8920. Factor s(m).
2*m*(m - 1025)/5
Let r(a) be the second derivative of 0*a**2 + 0 - 1/54*a**4 - 58*a + 1/27*a**3. Determine g, given that r(g) = 0.
0, 1
Factor 2/5*c**2 + 154/5 - 36/5*c.
2*(c - 11)*(c - 7)/5
Let x(w) = -2*w**4 + 14*w**3 + w**2 + w - 1. Let v(h) = -12*h**4 + 104*h**3 + 3*h**2 - 17*h - 23. Let o(n) = -2*v(n) + 14*x(n). Factor o(f).
-4*(f - 2)*(f + 1)*(f + 2)**2
Let s = -3763819/10 - -376382. Suppose 11/10 - 11/10*u**2 + s*u - 1/10*u**3 = 0. What is u?
-11, -1, 1
Let u(k) be the second derivative of 4 + 1/3*k**3 - 1/21*k**4 - 4/7*k**2 - 1/70*k**5 + 3*k. Determine o, given that u(o) = 0.
-4, 1
Factor 2/5*d - 1/5*d**3 - 1/5*d**2 + 0.
-d*(d - 1)*(d + 2)/5
Let d(s) be the second derivative of -s**4/36 - 41*s**3/9 + 172*s**2/3 - 2074*s. Factor d(q).
-(q - 4)*(q + 86)/3
Factor -34*g - 8979*g - 5413*g + 20685780 + 5*g**2 - 5914*g.
5*(g - 2034)**2
Let d(s) be the third derivative of -s**5/90 - 35*s**4/6 - 1225*s**3 - 3487*s**2. Solve d(t) = 0 for t.
-105
Let d(t) be the third derivative of t**9/105840 + t**8/5880 - 81*t**5/20 - 205*t**2. Let k(i) be the third derivative of d(i). Factor k(v).
4*v**2*(v + 6)/7
Let d(p) = p + 1. Let k(i) = 19*i - 43 + 4*i**2 + 12 + 3 + 11. Let v(s) = -3*d(s) + k(s). Determine t, given that v(t) = 0.
-5, 1
Suppose -209 = -52*m + 51. Let f(w) be the first derivative of 0*w**3 + 1/40*w**m + 0*w**4 + 15 + 0*w**2 + 0*w - 1/48*w**6. Factor f(z).
-z**4*(z - 1)/8
Let c be (-6)/4*(-650)/75. Factor -3 - 16*r**3 - c + 0*r**4 - r**4 + 12*r**2 + 16*r + 8*r**4 - 3*r**4.
4*(r - 2)**2*(r - 1)*(r + 1)
Let x(t) be the third derivative of -1/80*t**5 + 0*t - 27/32*t**4 + 7/2*t**3 + t**2 + 29. Find l such that x(l) = 0.
-28, 1
Find f such that -63 - 141/4*f + 111/4*f**2 - 3/4*f**3 - 3/4*f**4 = 0.
-7, -1, 3, 4
Let c(v) be the second derivative of 31*v + 1/4*v**4 + 10*v**3 + 0 + 57/2*v**2. Factor c(b).
3*(b + 1)*(b + 19)
Suppose 21650 - 2*z**3 + 2*z**2 - 78*z**2 + 214*z - 21790 - z**3 + 5*z**3 = 0. What is z?
1, 2, 35
Let w(m) be the first derivative of 7/25*m**4 + 0*m - 22 + 6/25*m**2 - 2/3*m**3. Factor w(c).
2*c*(2*c - 3)*(7*c - 2)/25
Let u be -16 - (-144)/90*15. Factor -u*t + 2/3*t**2 + 40/3.
2*(t - 10)*(t - 2)/3
Let x(y) = -7*y**3 - 4*y**2 + 73*y + 60. Let u(a) = 8*a**3 + 4*a**2 - 76*a - 60. Let w(j) = 5*u(j) + 6*x(j). What is d in w(d) = 0?
-6, -1, 5
Let z(g) = 43*g**2 + 6224*g - 4842266. Let p(c) = -28*c**2 - 6224*c + 4842268. Let m(s) = -3*p(s) - 2*z(s). Solve m(v) = 0 for v.
1556
Suppose -k - 18 = -4*t - 37, -15 = 2*t + 5*k. Let h be ((-20)/18)/t - (-67)/63. What is v in 9/7*v**2 + 3/7 + 3/7*v**3 + h*v = 0?
-1
Let z = 358 - -488. Let q = -841 + z. Let 0*l**2 + 2/15*l**3 + 0*l + 4/15*l**4 + 2/15*l**q + 0 = 0. What is l?
-1, 0
Let c = -7/34998 + 1813571/26703474. Let b = c + 3/109. Factor 0 + b*r**2 - 2/21*r.
2*r*(r - 1)/21
Suppose -2*v + 5*v = 15. Factor -4*i**4 - 853*i**v + 128*i**3 + 47*i**3 - 61*i**4 + 245*i**2 + 858*i**5.
5*i**2*(i - 7)**2*(i + 1)
Suppose -20/7*p**3 + 22/7*p**2 + 36/7*p + 0 = 0. Calculate p.
-9/10, 0, 2
Factor 0 + 1024/3*w + 508/3*w**2 - 2/3*w**3.
-2*w*(w - 256)*(w + 2)/3
Factor 3*u**2 - 459*u - 164 - 1126 - 594.
3*(u - 157)*(u + 4)
Let l(t) = 3*t**2 + 24*t + 45. Suppose 4*d + 118 - 130 = 0. Let u(q) = -9*q**2 - 71*q - 132. Let o(m) = d*u(m) + 8*l(m). Factor o(r).
-3*(r + 3)*(r + 4)
Let z(g) = -2223*g - 240075. Let a be z(-108). Factor -15/4*b**3 + 0 - a*b + 3/8*b**4 + 21/2*b**2.
3*b*(b - 6)*(b - 2)**2/8
Let k be ((-2)/4)/(4/280). Let j = k + 37. Suppose -10*t + t**4 - t**3 + 25*t - 14*t - t**j = 0. What is t?
-1, 0, 1
Suppose y - 2*o = 0, -42*y = -47*y - 4*o + 84. Let c(a) be the first derivative of 0*a**2 + 1/2*a**4 - 4/3*a**3 + y + 0*a. Factor c(t).
2*t**2*(t - 2)
Let v(x) be the second derivative of x**4/9 - 856*x**3/3 + 274776*x**2 + 2861*x. Find u, given that v(u) = 0.
642
What is p in -253*p + 505/2*p**3 - 507/2*p**2 + 1/2*p**5 + 0 + 507/2*p**4 = 0?
-506, -1, 0, 1
Find k, given that -3*k**2 - 96936*k**3 + k**5 - 2*k**5 + 96899*k**3 + 54*k - 13*k**4 = 0.
-9, -3, -2, 0, 1
Let t(o) be the second derivative of -9*o**5/170 + 107*o**4/102 + 116*o**3/51 - o - 5