n 1005/4 + 5/4*y**2 - 505/2*y = 0?
1, 201
Let g(n) be the third derivative of -n**6/1320 + 7*n**5/330 - 8*n**4/33 + 16*n**3/11 + n**2 + 251*n + 8. Factor g(q).
-(q - 6)*(q - 4)**2/11
Determine q, given that 175 - 95/2*q + 5/2*q**2 = 0.
5, 14
Factor -3/4*v**3 + 1/4*v**4 + 1/4*v**5 + 1/2*v - 1/4*v**2 + 0.
v*(v - 1)**2*(v + 1)*(v + 2)/4
Let j(s) be the third derivative of -s**5/12 - 245*s**4/8 + 745*s**3/3 + 680*s**2 + s. Factor j(v).
-5*(v - 2)*(v + 149)
Let a(d) be the first derivative of d**5/12 - 15*d**4/2 + 175*d**3/6 + 97*d**2 + 73. Let g(q) be the second derivative of a(q). Solve g(v) = 0.
1, 35
Let m(o) be the first derivative of 8*o**2 + 5*o**3 - o**4 + 1/20*o**5 - 64*o + 194. Let m(c) = 0. Calculate c.
-2, 2, 8
Let q(i) = -70*i - 275. Let c be q(-4). Let n(x) = -x**3 - 6*x**2 - 16*x - 14. Let d(l) = -l**2 + 2. Let p(y) = c*n(y) + 5*d(y). Solve p(g) = 0 for g.
-3, -2
Let s be (-35)/(-2)*(-2072)/(-18130). What is j in 32/9 - 2/9*j**s + 10/3*j = 0?
-1, 16
Factor -68921/3*k + 0 + 1599/2*k**3 + 121/6*k**4 + 58835/6*k**2 + 1/6*k**5.
k*(k - 2)*(k + 41)**3/6
Let d(z) be the third derivative of z**7/945 - z**6/270 - 2*z**5/15 - 22*z**4/27 - 64*z**3/27 + z**2 - 864*z. Find r such that d(r) = 0.
-2, 8
Let m be (-36)/18 - 4*-1. Let z be -2*(-1)/2 + (-9)/18. Factor c + z*c**m - 3/2.
(c - 1)*(c + 3)/2
Factor -1124/15*z**2 - 2/5*z - 446/3*z**3 + 0 - 1112/15*z**4.
-2*z*(z + 1)**2*(556*z + 3)/15
Factor 58*u**3 - 166 - 92*u**3 - 334*u + 32*u**3 - 170*u**2.
-2*(u + 1)**2*(u + 83)
Suppose 24 = 4*l + r + 77, 0 = l - 4*r - 8. Let h be 1/(-4) - ((-75)/l)/(-25). Factor h*c**2 + 1/2*c**3 - 3/2*c - 1.
(c - 2)*(c + 1)**2/2
Let z(u) be the first derivative of -u**4/3 + 112*u**3/9 - 454*u**2/3 + 2240*u/3 + 9985. Suppose z(w) = 0. Calculate w.
5, 7, 16
Suppose 50 = 37*n - 12*n. Let a be (-62)/14 + 5 + (5 - 5). Let 16/7*t**4 + 0*t**3 + 0 - a*t**5 - 64/7*t**n + 64/7*t = 0. What is t?
-2, 0, 2
Let i(a) be the second derivative of -13*a**5/140 + 629*a**4/28 - 145*a**3/21 + 4095*a. Factor i(f).
-f*(f - 145)*(13*f - 2)/7
Let u = 7576016/923905 + 1/184781. Determine a, given that -16/5*a - u*a**2 - a**5 + 12/5 + 17/5*a**4 + 9/5*a**3 = 0.
-1, 2/5, 2, 3
Factor 134 + 31 + 22*f**2 + 18*f**2 + 60*f + 172*f + 223*f.
5*(f + 11)*(8*f + 3)
Factor 1841 - 642*t - 2559 - 3*t**2 + 2014.
-3*(t - 2)*(t + 216)
Let q(z) be the third derivative of z**6/225 + 11*z**5/450 + z**4/30 - z**2 + 191. Let q(h) = 0. Calculate h.
-2, -3/4, 0
Factor -41/6*h + 1/6*h**2 - 7.
(h - 42)*(h + 1)/6
Suppose 77*w = 71*w + 3822. Let t = 637 - w. Factor t + 2/5*r**4 + 2/5*r**3 - 2/5*r**2 - 2/5*r**5 + 0*r.
-2*r**2*(r - 1)**2*(r + 1)/5
Let x be (210/(-4))/(57967/(-28392)). What is g in -6/7*g**2 - 78/7*g + x = 0?
-15, 2
Let x = 128 - 126. Solve -14*o**3 + 256 - 64*o + 12*o**3 + 9*o**2 - 37*o**x = 0 for o.
-8, 2
Suppose 12*p - 3105 - 1263 = 0. Let m = 1822/5 - p. Suppose m*j**3 + 0*j + 3/5*j**2 - 1/5 = 0. Calculate j.
-1, 1/2
Suppose 0 = -15*c + 97*c - 328. Let p(f) be the second derivative of -1/30*f**5 - 1/27*f**3 + 0 + 2/3*f**2 - 5/27*f**c - 9*f. Let p(n) = 0. Calculate n.
-3, -1, 2/3
Let o(a) be the first derivative of 5*a**3/3 - 35*a**2/2 - 150*a + 427. Find v, given that o(v) = 0.
-3, 10
Let h(u) be the third derivative of u**8/420 + u**7/35 + u**6/10 + 2*u**5/15 - 52*u**3/3 - 71*u**2. Let m(r) be the first derivative of h(r). Factor m(g).
4*g*(g + 1)**2*(g + 4)
Let h(d) be the first derivative of 4*d**6/15 - 94*d**5/25 + 32*d**4/5 + 134*d**3/15 - 68*d**2/5 - 8*d - 143. Determine q so that h(q) = 0.
-1, -1/4, 1, 2, 10
Let v(w) = w**3 + 11*w**2 - 16*w + 3. Let z be v(-12). Solve 4*j**5 + 5*j - 60*j**3 + z*j + 4*j**2 + 70*j**4 - 16*j**2 - 8*j**2 - 50*j**4 = 0 for j.
-7, -1, 0, 1, 2
Let y(j) = -1323 - 223*j - 565 - 3*j**2 - 535 + j**2. Let q(c) = 7*c**2 + 668*c + 7268. Let v(a) = -3*q(a) - 8*y(a). Solve v(f) = 0.
-22
Let z(t) be the first derivative of -7*t**4/30 + 136*t**3/45 + 109*t**2/3 + 20*t - 2586. Let z(q) = 0. Calculate q.
-5, -2/7, 15
Suppose 0 = 15*h - 26*h + 6017. Determine p so that -10*p**2 - 105*p**3 + 3 - 3 + h*p - 547*p = 0.
-2/21, 0
Suppose 14*w - 27307 = -27279. Let x(s) be the first derivative of -6*s - 9/2*s**w - 15 - s**3. Determine g, given that x(g) = 0.
-2, -1
Let m(o) be the second derivative of 16*o**6/15 - 23*o**5/5 - o**4 + 64*o**3/3 + 8*o**2 + 1359*o. Determine d, given that m(d) = 0.
-1, -1/8, 2
Let l(a) = a**3 - 2*a**2 - 20*a - 13. Let w be l(6). Let u(x) be the third derivative of 5/12*x**4 - w*x**2 - 5/6*x**3 + 0*x + 0 - 1/12*x**5. Factor u(s).
-5*(s - 1)**2
Let s be (3/6)/((-588)/24 + 26). Suppose 25/3*d**2 + 7/3*d**4 + 4/3 + 19/3*d**3 + s*d**5 + 16/3*d = 0. Calculate d.
-2, -1
Suppose 0*h = -3*q - 3*h, 0 = 8*q - 5*q + 2*h. Let y(z) be the second derivative of q - z - 1/4*z**4 - 3/2*z**2 + z**3. Factor y(a).
-3*(a - 1)**2
Let a(n) be the first derivative of 2/3*n**3 + 98*n - 5 + 14*n**2. Factor a(l).
2*(l + 7)**2
Let w(o) be the second derivative of -5*o**4/12 - 935*o**3/6 + 1425*o**2 + 3*o + 80. Determine u so that w(u) = 0.
-190, 3
Let j(l) be the third derivative of 0 + 1/48*l**4 + 1/6*l**3 + 31*l**2 + 2*l - 1/120*l**5. Factor j(b).
-(b - 2)*(b + 1)/2
Factor -23*z + 44/7*z**4 + 244/7*z**2 + 40/7 - 166/7*z**3 - 1/7*z**5.
-(z - 40)*(z - 1)**4/7
Let f = 52461/8 - 6557. Let o(w) be the second derivative of 3/16*w**4 + 7/8*w**2 + 0 + 39*w + f*w**3 + 1/80*w**5. Suppose o(j) = 0. What is j?
-7, -1
Let w(g) be the third derivative of -2 - 1/105*g**7 - 12*g**3 + 0*g + 1/6*g**6 - 37/30*g**5 + 5*g**4 - 51*g**2. Factor w(v).
-2*(v - 3)**2*(v - 2)**2
Let h = 2976 + 6038. Let -3*w**5 + h*w**2 - 9016*w**2 + 2*w**5 + w + 2*w**4 = 0. What is w?
-1, 0, 1
Let j be 1 + -4 + 2453/561 - 80/120. Factor 2*h + 22/17*h**2 + j.
2*(h + 1)*(11*h + 6)/17
Let t(w) be the second derivative of w**5/150 - w**4/30 - 26*w**3/9 - 112*w**2/5 + 36*w + 8. Find p, given that t(p) = 0.
-8, -3, 14
Let d(u) be the second derivative of 2*u**2 + u**3 + 0 - 172*u + 0*u**4 - 1/10*u**5. Let d(h) = 0. Calculate h.
-1, 2
Let t be (-19 + (-84)/(-12))*((-2)/(-4))/((-26)/104). Suppose 0*u**2 - 30*u + 15/2*u**3 - 3/2*u**4 + t = 0. What is u?
-2, 1, 2, 4
Let j(p) be the second derivative of p**5/120 - p**3/12 + 189*p**2/2 + 222*p. Let d(n) be the first derivative of j(n). Determine z so that d(z) = 0.
-1, 1
Let 25*l**2 + 70*l**4 + 295993*l**3 + 7*l**2 - 296091*l**3 - 4*l**5 = 0. What is l?
0, 1/2, 1, 16
Let o(h) = 2*h**3 + 4*h**2 - 18*h - 2. Let w(f) = -2*f**3 - 4*f**2 + 19*f + 3. Let c(s) = -3*o(s) - 2*w(s). Factor c(v).
-2*v*(v - 2)*(v + 4)
Let h be ((-744)/1302)/((-12)/(-14))*(-1)/10. Let z(o) be the second derivative of 1/225*o**6 + h*o**3 + 0*o**2 + 0 - 9*o - 1/50*o**5 - 1/90*o**4. Factor z(l).
2*l*(l - 3)*(l - 1)*(l + 1)/15
Factor 567*d - 45*d**3 + 114 + 10470 - 18*d**2 + 44*d**3.
-(d - 24)*(d + 21)**2
Let x = 13 + -7. Suppose 145 - 127 = x*a. Solve 1/2*u**3 + a*u**2 + 9/2*u + 2 = 0 for u.
-4, -1
Determine a so that 46*a**4 - 72*a**4 - 917*a - 134 - 974*a**2 - 162 - 380*a**3 + a**5 = 0.
-8, -1, 37
Let u be ((-3)/2)/(-3)*6. Let d(v) = -v**2 + 30*v + 218. Let g be d(36). Let -5*s**4 + 3*s**3 - u*s**2 + 10 + 12*s**3 - 2*s**g - 15*s = 0. Calculate s.
-1, 1, 2
Let m(p) be the third derivative of -p**6/120 + p**5/5 + p**4/8 - 14*p**3/3 - 66*p**2. Let g be m(12). Determine z, given that g - 8/3*z + 2/9*z**2 = 0.
6
Factor 4*c**4 + 395*c**2 + 92*c**3 + 1332*c - 138*c**2 + 213*c**2 + 94*c**2 + 1080.
4*(c + 2)*(c + 3)**2*(c + 15)
Let y(z) be the second derivative of -z**6/10 - 57*z**5/5 + 235*z**4/4 - 79*z**3 - 3158*z. Factor y(q).
-3*q*(q - 2)*(q - 1)*(q + 79)
Solve -176*v**2 + 340*v - 1944*v**2 + 1492*v**3 + 24 - 304*v**4 + 88*v**3 = 0.
-1/19, 1/4, 2, 3
Let d(q) = 0 + 10*q**2 + 7*q**2 + 7 - 8 + 9*q + 3*q**3. Let y be d(-5). Let -2/13*a**5 - 8/13*a**2 - 2/13*a + 0 - 12/13*a**3 - 8/13*a**y = 0. Calculate a.
-1, 0
Let g be (392/1568)/((-6)/(-12)). Find a such that 0*a + g*a**2 + 5/4*a**3 - 7/4*a**4 + 0 = 0.
-2/7, 0, 1
Solve -2/7*r**4 + 64/7*r + 16/7*r**3 + 60/7*r**2 + 22/7 = 0.
-1, 11
Let y(w) = -w**3 - 20*w**2 + 46*w + 46. Let v be y(-22). Find q, given that 106*q**2 + 15*q**v - 16*q**2 - 49*q**2 + 240*q + 4*q**3 + 288 = 0.
-6, -2
Suppose 158*f - 10 = 153*f. Suppose 195*t + 16*t**f - 195*t + 16*t**3 - 4*t**5 - 4*t**4 = 0. Calculat