v**4/24 + 17*v**3/3 - 509*v**2. Suppose u(i) = 0. Calculate i.
-17, -2, -1
Suppose 14*f - 20 - 1 = 63. Let l(d) be the second derivative of d + 2/21*d**7 + 0 + 2/3*d**f + 4/3*d**3 + 9/5*d**5 + 7/3*d**4 + 0*d**2. Factor l(n).
4*n*(n + 1)**3*(n + 2)
Let h(b) be the second derivative of -b**6/20 - 23*b**5/90 - 19*b**4/36 - 5*b**3/9 + 45*b**2 - 145*b. Let z(f) be the first derivative of h(f). Factor z(k).
-2*(k + 1)**2*(9*k + 5)/3
Suppose 3*v - 29 = -4*i, 2*v - i - 19 = -4*i. Suppose v = -6*z + 47. What is n in -10*n - 3*n**3 - 10*n**2 - 2*n**3 + n**3 + z*n = 0?
-2, -1/2, 0
Let n = -18330 - -18333. Let k(h) be the third derivative of 0 + 2/105*h**5 + 45*h**2 + 8/21*h**n + 1/210*h**6 - 1/6*h**4 + 0*h. Find w, given that k(w) = 0.
-4, 1
Let t = -4933 - -5001. What is y in t*y - 155/2*y**2 - 14 - 25/2*y**3 = 0?
-7, 2/5
Factor 108578/5 + 2/5*c**2 - 932/5*c.
2*(c - 233)**2/5
Suppose 290/9 + 2/9*l**3 - 338/9*l + 46/9*l**2 = 0. What is l?
-29, 1, 5
Determine m so that -18*m**2 + 3*m**3 - 45/2 - 43*m + 1/2*m**4 = 0.
-9, -1, 5
Suppose 8 = 4*t - 4. Factor -10*r**2 + 10 + 23*r**t + 6*r - 28*r**3 - r.
-5*(r - 1)*(r + 1)*(r + 2)
Let y(v) be the first derivative of 1/8*v**2 + 1/12*v**3 + 27 - 1/2*v. Factor y(n).
(n - 1)*(n + 2)/4
Solve 12*d**2 - 13*d - 1/4*d**4 - 9/4*d**3 + 0 = 0.
-13, 0, 2
Let i be -7 + (6/4)/((-12)/40). Let w be i/9 + 114/72. Suppose 1/4*t**2 + 3/4*t**4 - 3/4*t**3 + 0 - w*t**5 + 0*t = 0. Calculate t.
0, 1
Let f = -37673/2 - -18840. Let i(c) be the second derivative of -19*c - 11/2*c**2 - f*c**3 + 0 - 3/4*c**4 + 1/20*c**5. Factor i(j).
(j - 11)*(j + 1)**2
Let g(d) be the second derivative of -2*d**7/105 - 88*d**6/75 + 192*d**5/25 + 582*d. Factor g(v).
-4*v**3*(v - 4)*(v + 48)/5
Let n be 0/(1/9*-9). Let b(m) be the first derivative of 21 - 5/3*m**3 + 0*m**2 + n*m. Solve b(w) = 0 for w.
0
Let r(m) = -13*m. Let x(h) = h**3 + 447*h**2 - 144*h - 447. Let c(n) = -22*r(n) + 2*x(n). Factor c(k).
2*(k - 1)*(k + 1)*(k + 447)
Let d = -238929/10 + 47837/2. Let d + 4/5*u**2 + 72/5*u = 0. What is u?
-16, -2
Let a be 4 - (-11 + 5 + 1). Factor -5*v**3 - v**2 - 9*v**2 - a*v**4 + 28*v**4 - 14*v**4.
5*v**2*(v - 2)*(v + 1)
Let u be (10290/7203)/(10/14). Suppose 36/7*c - 4/7*c**u - 8 = 0. What is c?
2, 7
Factor 28 + 83/3*d - 1/3*d**2.
-(d - 84)*(d + 1)/3
Let k(p) be the second derivative of -1/6*p**2 - p + 1/36*p**3 - 14 + 1/36*p**4 - 1/120*p**5. Factor k(f).
-(f - 2)*(f - 1)*(f + 1)/6
Suppose 7*m = -4*m + 22. Factor 14 - 18*w**2 + 15*w**4 - 1 - 9*w**3 + m*w**2 + 9*w + 11 - 23*w**2.
3*(w - 1)*(w + 1)**2*(5*w - 8)
Let h be -12104*(-2)/(-12103) + (-2)/(-1). Let v = 3008/931 + h. Factor 8/13 + v*p**2 - 98/13*p**3 + 48/13*p.
-2*(p - 1)*(7*p + 2)**2/13
Let i(w) = -w + 4. Let n(s) = 6*s**2 - 10448*s - 6996. Let r(x) = -6*i(x) - n(x). Factor r(v).
-2*(v - 1743)*(3*v + 2)
Let k = -16/683 + 923/10245. Let f(r) be the first derivative of -1/20*r**4 + 1/5*r**2 + k*r**3 + 0*r + 11. What is h in f(h) = 0?
-1, 0, 2
Let t(v) be the second derivative of 1/10*v**6 + 0*v**2 + 3/4*v**4 + 3*v + 3/5*v**5 + 0*v**3 - 4. Factor t(m).
3*m**2*(m + 1)*(m + 3)
Let a be -2*48/360*-10*(-1)/(-2). Factor -a*z**2 + 8*z - 32/3.
-4*(z - 4)*(z - 2)/3
Let r = 843 + -828. Determine f, given that -28*f - 8 + 70*f**2 - 4 - 71*f**2 - r = 0.
-27, -1
Find u, given that 4/3*u**5 - 8*u**4 - 16*u - 8/3*u**2 + 32/3 + 44/3*u**3 = 0.
-1, 1, 2
Let g(n) = -n**4 - n**3 + n**2 - n - 2. Let k(h) = 5*h**4 + 46*h**3 - 139*h**2 - 384*h - 204. Let d(x) = 30*g(x) + 5*k(x). Determine o so that d(o) = 0.
-1, 6, 36
Let p(l) be the third derivative of 0*l**4 - 2/15*l**3 + 0*l + 1/300*l**5 + 3 - 5*l**2. What is a in p(a) = 0?
-2, 2
Let a(m) be the second derivative of 8 + 1/12*m**4 - 5/3*m**3 - 15*m + 8*m**2. Let a(c) = 0. What is c?
2, 8
Let n(k) be the third derivative of -k**7/42 + 73*k**6/96 - 275*k**5/48 + 55*k**4/96 + 325*k**3/8 - k**2 + 2*k + 2434. Let n(a) = 0. Calculate a.
-3/4, 1, 5, 13
Let n(i) = 2*i**5 + 22*i**3 - 21*i**2 + 48. Let c(j) = -j**5 - j**4 + j**3 - 16. Let t(w) = -3*c(w) - n(w). Let t(x) = 0. What is x?
-7, 0, 1, 3
Suppose -1168/3*s**2 - 200*s**3 - 11/3*s**5 - 336*s - 46*s**4 - 96 = 0. Calculate s.
-6, -2, -6/11
Let f be 7/(-14) + 0 - (-56 - -53). Factor 1/2*m**4 + m - f*m**2 - 1/2*m**5 + 0 + 3/2*m**3.
-m*(m - 1)**3*(m + 2)/2
Let j = 4247/7045 - 4/1409. Factor -72/5*f**2 - j*f**4 + 0*f + 0 + 42/5*f**3.
-3*f**2*(f - 12)*(f - 2)/5
Let v be (-46)/(-2) - (-2 - -6). Let u be (-84)/(-24)*(-8)/(-14). Factor -29 + v - 4*t**u - 54 - 32*t + 0*t.
-4*(t + 4)**2
Let i(a) be the second derivative of a**7/21 - a**5/5 + a**3/3 - 3*a - 100. Factor i(r).
2*r*(r - 1)**2*(r + 1)**2
Let q = -1525218 - -1525242. Let -q*t + 0 - 3/4*t**3 - 27/2*t**2 = 0. Calculate t.
-16, -2, 0
Let n(q) = -14*q**2 - 16*q + 12*q**2 + 5*q**2 - 37. Let w(d) = 5*d**2 - 24*d - 56. Let v(c) = 8*n(c) - 5*w(c). Determine i, given that v(i) = 0.
-4
Factor 113/4 - 115/8*r - 14*r**2 + 1/8*r**3.
(r - 113)*(r - 1)*(r + 2)/8
Let d = 30515/49303 - 2/1049. Let w = 355/423 - d. Determine l, given that -8 + 56/3*l - 122/9*l**2 - w*l**4 + 28/9*l**3 = 0.
1, 6
Let c(r) = -2*r**3 + 11*r**2 - 7*r + 12. Let d be c(5). Let p be -9*16/(-36) - d. Factor -b - 1/5*b**p + b**3 + 1/5.
(b - 1)*(b + 1)*(5*b - 1)/5
Let n = -19145/57 + 250823/741. Let 12/13 - 132/13*k**2 + n*k**3 + 86/13*k = 0. Calculate k.
-2/17, 1, 3
Let g be (-33 - (-3288)/96)/(4 + 26/16). Find o, given that -2/3*o**4 - g*o**3 + 2/3*o**2 + 0 + 0*o + 2/9*o**5 = 0.
-1, 0, 1, 3
Suppose -165*o**2 - 16 + 4 + 621*o**2 + 4196*o**3 - 317*o**4 - 208*o + 900*o**5 + 4077*o**4 - 20 = 0. Calculate o.
-2, -1/5, 2/9
Factor -1/3*m**3 - 10/3*m**2 + 71/3*m - 20.
-(m - 4)*(m - 1)*(m + 15)/3
Let p(r) = -3*r**2 - 111*r - 855. Let u be p(-26). Factor -2/15*z - 4/15*z**2 + 0 - 2/15*z**u.
-2*z*(z + 1)**2/15
Let w(h) be the third derivative of -129/20*h**5 + 0*h + 89/8*h**4 - 9/40*h**6 - 15/2*h**3 + 73*h**2 - 2. Factor w(u).
-3*(u + 15)*(3*u - 1)**2
Let a(l) be the third derivative of l**7/3360 + l**6/288 + l**5/120 - 77*l**3/6 + 92*l**2. Let o(w) be the first derivative of a(w). Factor o(u).
u*(u + 1)*(u + 4)/4
Suppose -18 - 78 = -38*h - 20. Factor 22/17*v**h - 28/17 - 150/17*v.
2*(v - 7)*(11*v + 2)/17
Let a(j) be the first derivative of -j**5/5 - 13*j**4/2 - 65*j**3 - 189*j**2 - 6661. Let a(o) = 0. Calculate o.
-14, -9, -3, 0
Let g(c) be the second derivative of -2*c**7/21 - 8*c**6/15 + 52*c**5/5 - 86*c**4/3 - 34*c**3 + 180*c**2 + 8*c + 43. Suppose g(j) = 0. What is j?
-10, -1, 1, 3
Let d(u) = 21*u**2 - 3*u + 2. Suppose 5*q - 11 = 3*k, 2*k = k - 2. Let m be d(q). Factor m*s**4 - 3*s**3 + 7*s**2 - 5*s**2 - 19*s**4.
s**2*(s - 2)*(s - 1)
Let p(d) be the second derivative of 2/5*d**3 - 104*d + 0*d**2 + 23/30*d**4 + 0 + 2/5*d**5 - 4/75*d**6. Factor p(n).
-2*n*(n - 6)*(2*n + 1)**2/5
Let d(c) be the first derivative of c**7/42 + 4*c**6/75 + 3*c**5/100 + 162*c - 92. Let i(p) be the first derivative of d(p). Factor i(b).
b**3*(b + 1)*(5*b + 3)/5
Factor 147*b - 1/3*b**3 + 174 - 82/3*b**2.
-(b - 6)*(b + 1)*(b + 87)/3
Let v = 465505/9 + -51721. Factor -v*d - 2/9*d**2 + 2.
-2*(d - 1)*(d + 9)/9
Let p(c) be the first derivative of c**3/6 + 747*c**2/4 + 373*c + 2276. What is f in p(f) = 0?
-746, -1
Suppose -7 = -h - 13. Let q(w) = -23*w - 21*w**2 - 5*w - 8 - w**2 + 2*w**2. Let u(s) = -20*s**2 - 28*s - 8. Let z(g) = h*q(g) + 7*u(g). Factor z(f).
-4*(f + 1)*(5*f + 2)
Let s(y) be the third derivative of -75*y**8/112 - 41*y**7/14 - 99*y**6/20 - 41*y**5/10 - 15*y**4/8 - y**3/2 + 139*y**2 - 19. Solve s(h) = 0 for h.
-1, -1/3, -1/5
Let t = 2719867/6968871 - 10/104013. Let d = -7/67 + t. Find c such that 0*c**2 + 2/7*c**3 + d*c**4 + 0*c + 0 = 0.
-1, 0
Let d(b) be the first derivative of b**6/24 - 243*b**5/20 + 15359*b**4/16 - 72713*b**3/12 + 14280*b**2 - 14161*b - 4353. Let d(j) = 0. What is j?
1, 2, 119
Suppose 4*g - 3*g = 4*s - 171, -5*s - 4*g + 240 = 0. Suppose 0*t - s = -11*t. Factor -158*f**3 - 165*f**3 + 327*f**3 + 12 + t*f**2 - 20*f.
4*(f - 1)**2*(f + 3)
Let a(r) be the first derivative of -r**7/70 + r**6/20 - r**4/4 + r**3/2 - 79*r**2/2 + 98. Let m(h) be the second derivative of a(h). Factor m(t).
-3*(t - 1)**3*(t + 1)
Let a be (81/(-21))/(-9) + 7557/7. Let t be a/567 + (-6)/(-63). Factor 0 + 2/11*c**t - 2/11*c.
2*c*(c - 1)/11
Let d = 24978 