0*l**3 - 6192*l + 8535 + 12201 = 0.
2, 36
Let -14/11*t**5 - 24*t**2 + 6*t**4 - 80/11*t + 76/11*t**3 + 0 = 0. What is t?
-2, -2/7, 0, 2, 5
Let u(d) be the first derivative of d**6/720 + d**5/12 + 3*d**4/16 - 29*d**3/18 - 65*d**2/2 + 214. Let n(j) be the second derivative of u(j). Factor n(f).
(f - 1)*(f + 2)*(f + 29)/6
Factor 85 + 1006*k**2 + 54*k**3 + 0*k**4 - 324*k - 67 - 931*k**2 + 174 + 3*k**4.
3*(k - 1)**2*(k + 4)*(k + 16)
What is h in -114*h**2 + 315*h - 35*h**3 + 1971/2 + 1/2*h**4 = 0?
-3, 3, 73
Let p(w) be the third derivative of 0 - 81/20*w**5 + 0*w**4 + 5*w**2 + w - 1/70*w**7 + 9/20*w**6 + 0*w**3. Factor p(x).
-3*x**2*(x - 9)**2
Suppose 4*b = -67*x + 66*x + 87, -3*b - 2*x + 54 = 0. Let n(l) be the first derivative of -b + l**2 + 0*l - 1/4*l**4 + 1/3*l**3. Factor n(k).
-k*(k - 2)*(k + 1)
Find p, given that -3621/2*p**2 + 1/2*p**3 - 1758416743/2 + 4370547/2*p = 0.
1207
Suppose 3*p - 3*c - 12 = -0*p, -4 = -4*p + c. Suppose 0 = -98*s - 15*s + 12*s. Factor s*q + p - 1/5*q**4 - 1/5*q**2 - 2/5*q**3.
-q**2*(q + 1)**2/5
Let j(d) = 16*d + 352 - 100*d + 6*d**2 - 51. Let n(o) = -13*o + 101 - 15*o - 21 + 20 + 4*o**2 - 2*o**2. Let p(w) = -2*j(w) + 7*n(w). Factor p(q).
2*(q - 7)**2
Let i(d) be the third derivative of -19/15*d**7 - 1/3*d**5 - 53/30*d**6 - 1/3*d**3 + 0*d + 11/12*d**4 - 7/24*d**8 - 143*d**2 + 0. What is q in i(q) = 0?
-1, 1/7
Solve -220 - 19/5*m + 1/5*m**2 = 0 for m.
-25, 44
Let a(u) = -u**2 + 13*u - 14. Let h be a(12). Let b = h + 24. Solve 27 - 30*n + b*n**3 - 18 - 9*n**4 + 8*n**3 = 0 for n.
-1, 1/3, 1, 3
Let k(t) be the first derivative of 5/2*t**4 + 0*t**2 + 0*t**3 - 17*t**5 + 0*t - 84. Factor k(i).
-5*i**3*(17*i - 2)
Let f(n) be the third derivative of -13*n**5/75 + 186*n**4/5 + 344*n**3/15 - 2507*n**2. Find t, given that f(t) = 0.
-2/13, 86
Let t(a) be the second derivative of a**7/5040 - a**6/720 + a**5/360 + 3*a**3/2 - a**2 + 15*a. Let r(u) be the second derivative of t(u). Factor r(p).
p*(p - 2)*(p - 1)/6
Let h(q) be the first derivative of 26*q**6/3 + 92*q**5 + 346*q**4 + 1648*q**3/3 + 272*q**2 - 128*q - 1074. Suppose h(l) = 0. Calculate l.
-4, -2, -1, 2/13
Suppose 0 = -3*z + 78 - 312. Let p be 3 - z/(-30) - 53/(-5). What is s in -15*s**2 - 6*s**3 + 4*s**2 + 17*s**4 - 3 + s**5 - 16*s**4 - 3*s**2 - p*s = 0?
-1, 3
Let l(s) be the first derivative of -3*s**6/2 - 123*s**5/10 - 39*s**4 - 63*s**3 - 111*s**2/2 - 51*s/2 + 12343. Let l(r) = 0. Calculate r.
-17/6, -1
Suppose -n - b + 1 = 0, 2*n - 2*b + 4 = 2*b. Let o(r) be the third derivative of 0*r + 5*r**2 + n + 1/24*r**3 - 1/48*r**4 + 1/240*r**5. Factor o(g).
(g - 1)**2/4
Suppose q - 59 = -19*h, h - 4*q = -2*q - 1. Let p(x) be the first derivative of 5/4*x**4 - 5/3*x**h + 5*x - 20 - 5/2*x**2. Factor p(a).
5*(a - 1)**2*(a + 1)
Let s(f) be the second derivative of -f**5/10 - 22*f**4 - 780*f**3 - 11200*f**2 + 3*f - 857. Find u, given that s(u) = 0.
-112, -10
Suppose 7*n + 17 + 11 = 0. Let j be -6*n/(-6) + 14. Solve -3*g**2 - 21*g + j*g - 13*g - 35 - 13 = 0.
-4
Determine l so that -4/5*l**2 - 24/5*l + 28/5 = 0.
-7, 1
Let l(m) be the first derivative of 6*m**5/5 + 8*m**4 + 62*m**3/3 + 26*m**2 + 16*m + 806. Solve l(q) = 0.
-2, -4/3, -1
Suppose 4*q + 31*q = -5985. Let a = 171 + q. Suppose 0 + 2/9*g**2 + a*g = 0. What is g?
0
Suppose 290 = 3*i - m, 42*m + 486 = 5*i + 39*m. Find t, given that 171*t**2 - 91*t**2 - 84*t**2 + i*t - 176 = 0.
2, 22
Suppose 0 = -2*t + 4*t - 20. Suppose 2*n + t = m, 3*m - 5*m + n + 11 = 0. Factor 7*b**4 - 8 + 8 - 3*b**m.
4*b**4
Let l(f) be the third derivative of -f**6/70 + 52*f**5/105 - 41*f**4/6 + 140*f**3/3 - 693*f**2. Let l(z) = 0. What is z?
10/3, 7
Let k(n) be the second derivative of n**5/35 + 71*n**4/21 + 908*n**3/21 + 768*n**2/7 + 2932*n. Find g such that k(g) = 0.
-64, -6, -1
Solve -400*l + 836*l - 436*l - 273*l**4 - 537*l**3 - 3*l**5 - 267*l**2 = 0 for l.
-89, -1, 0
Suppose -39 = -3*z + 3*d + 12, 0 = -3*z + 4*d + 49. Suppose -8*p + z = -5. Factor -10*i**2 + 72*i + 4*i**2 + 15*i**3 - 18*i**2 - 13*i**p.
2*i*(i - 6)**2
Let w(y) = 2*y**5 - y**4 - 2*y**3 - y**2. Let c(f) = -9*f**5 + 113*f**4 + 11*f**3 - 321*f**2 - 218*f. Let d(p) = -c(p) - 4*w(p). Factor d(r).
r*(r - 109)*(r - 2)*(r + 1)**2
Let y(t) = -t**3 + 28*t**2 + 28*t + 38. Let h be y(29). Let -34953*x + 34947*x + 0*x**2 - h*x**2 - 3*x**3 = 0. Calculate x.
-2, -1, 0
Let j = -4413 + 4417. Let t(k) be the third derivative of -1/10*k**j - 1/50*k**5 + 0 + 0*k**3 + 10*k**2 + 0*k. Find h, given that t(h) = 0.
-2, 0
Factor -6179147*g + 715208 + 3*g**2 + 6176755*g - g**2.
2*(g - 598)**2
Determine q, given that 1737/2 + 869*q + 1/2*q**2 = 0.
-1737, -1
Suppose -299*f + 810 = 166 + 46. Determine k so that -20/11 - 6/11*k - 56/11*k**4 + 240/11*k**3 + 202/11*k**f = 0.
-1/2, 2/7, 5
Let k(r) = -r**3 + r**2 - r. Suppose 4*s = 2*s - 4. Let q(b) = 12*b**3 - 22*b**2 + 16*b + 8. Let a = 378 - 406. Let h(w) = a*k(w) + s*q(w). Factor h(l).
4*(l - 1)*(l + 1)*(l + 4)
Let x(k) be the third derivative of 0 - 2/3*k**3 + 1/210*k**5 - 5/84*k**4 + 273*k**2 + 0*k. Factor x(i).
2*(i - 7)*(i + 2)/7
Let j be (-2)/(-4) + 13/(-26). Suppose -5*d + 5*v = -30, 0 = d - 4*v - 21 - j. What is n in 3*n**4 + 3*n**3 - 3*n + 3*n**3 - 4 + d - 3*n = 0?
-1, 1
Let p = 1018 - 998. Factor 164*y + 206 + 48*y**2 + p - 58 + 4*y**3.
4*(y + 2)*(y + 3)*(y + 7)
Let y be (-525)/(-77) - 4/(-22). Suppose -y*g = -2*g - 10. Suppose 30*o + 3*o - 34*o**2 - 9 + 46*o**g = 0. What is o?
-3, 1/4
Let f be (-32)/4*170/(-80). Suppose f = -4*w + 4*c + 13, 2*w - 3 = -3*c. Solve -2/9*n**4 + w + 10/9*n**3 + 8/9*n - 16/9*n**2 = 0.
0, 1, 2
Let c(i) be the third derivative of i**8/70560 - i**7/8820 - i**6/840 + 161*i**5/60 + 3*i**2 - 27. Let f(g) be the third derivative of c(g). Factor f(x).
2*(x - 3)*(x + 1)/7
Let v(r) be the third derivative of r**8/84 + 94*r**7/105 - 127*r**6/15 + 316*r**5/15 + 100*r**4/3 - 832*r**3/3 - 1145*r**2. What is o in v(o) = 0?
-52, -1, 2
Let t be (2/2)/((-1)/(-2)). Let p be ((-40)/3 - 370/(-111)) + 14. Factor 3/2 + 3/2*z**t - 3*z**p - 15/4*z + 3*z**3 + 3/4*z**5.
3*(z - 2)*(z - 1)**3*(z + 1)/4
Let m(o) = -16*o - 149. Let c(g) = 16*g + 148. Let b(s) = 3*c(s) + 2*m(s). Let a be b(-9). Factor 8/3*v**a + 0*v + 0 + 14/3*v**4 + 32/3*v**3.
2*v**2*(v + 2)*(7*v + 2)/3
Let m(i) = i**3 - 55*i - 2. Let z be m(8). Determine n, given that 4*n + z*n**2 - 5 + 8 - 69*n**2 = 0.
-3, -1
Let o = -3157 + 3157. Let n(m) be the second derivative of 0 + o*m**2 + 1/45*m**3 - 1/90*m**4 + 11*m. Solve n(c) = 0.
0, 1
Let j be 0/(2 + (-12)/(-3) - 9). Let v(p) be the first derivative of j*p + 1/6*p**4 - 2/27*p**3 + 15 + 0*p**2. Factor v(c).
2*c**2*(3*c - 1)/9
What is c in -78*c + 27*c**3 + 156*c**2 - 6*c + 288*c = 0?
-34/9, -2, 0
Let u(l) be the second derivative of 25*l**4/12 - 5*l**3 - 20*l**2 - 1869*l. Factor u(o).
5*(o - 2)*(5*o + 4)
Let a(m) = 25*m**2 - 13661*m - 7655. Let s be a(547). Let p(z) = z + 3. Let t be p(-3). Find h, given that t + 8/11*h**2 + 6/11*h**s - 8/11*h = 0.
-2, 0, 2/3
Let p be (7 + -1)*(-1)/(-2). Suppose 5*a - 5*q = 35, -a - 18*q = -15*q + 1. Factor -87*y**a - 7*y**2 + 92*y**5 - 20*y**4 + 25*y**p - 3*y**2.
5*y**2*(y - 2)*(y - 1)**2
Suppose -4 = -5*p + 2*o, 8*p + 3*o - 17 = 4*p. Factor -16 + 60*f**2 + 60 - 35*f**3 + 261*f + 35*f**p + 119*f + 56.
-5*(f - 5)*(f + 2)*(7*f + 2)
Let z(k) be the second derivative of k**5/160 - k**4/16 - k**3/48 + 15*k**2/8 + 1500*k. Suppose z(c) = 0. Calculate c.
-2, 3, 5
Let r(l) be the third derivative of -91/270*l**5 - 1/3*l**3 + 5*l**2 + 2*l + 17/36*l**4 + 0 + 49/540*l**6. Solve r(w) = 0 for w.
3/7, 1
Let j(v) be the second derivative of -v**4/3 + 1616*v**3/3 + 929*v. Factor j(p).
-4*p*(p - 808)
Factor -389376*g + 936*g**2 + 53993472 - 3/4*g**3.
-3*(g - 416)**3/4
Suppose -2*i = 2*d + 6, -2*i - 11 = -16*d + 19*d. Factor 3*n**3 - 24 - 2*n**3 + 4*n**i + 0*n**3 - 185*n - 3*n**3 + 207*n.
-2*(n - 4)*(n - 1)*(n + 3)
Let r = 32 - -23. Suppose -25*y + 24*y + r = 0. Factor -686*l**3 - y*l + 275*l**2 + 13*l + 19*l**2 + 2.
-2*(7*l - 1)**3
Factor -10*c**2 - 16*c**2 + 48 + 42*c**2 - 24*c + 132 - 17*c**2.
-(c - 6)*(c + 30)
Let y(r) be the first derivative of 7 + 1/7*r**3 - 1/28*r**4 + 35*r - 3/140*r**5 + 0*r**2. Let l(v) be the first derivative of y(v). What is b in l(b) = 0?
-2, 0, 1
Let s be ((-108)/56 - (-256)/128) + (158/140)/1. Let -