*2 + 15/2*l**4 + 171/4*l = 0. What is l?
-3, -2, -1
Let r be -66*(15/6)/5*1. Let x = 43 + r. Suppose 20*l**3 + 5*l**4 + l**3 + 25*l**2 + x*l - l**3 = 0. Calculate l.
-2, -1, 0
Suppose 3645 + 1899 = -28*n. Let f = -1781/9 - n. Factor 0*l**3 + f*l**4 - 8/9*l - 2/3*l**2 - 1/3.
(l - 3)*(l + 1)**3/9
Let q(d) be the first derivative of d**3/15 - 3*d**2/5 + 8*d/5 - 1179. Determine j so that q(j) = 0.
2, 4
Suppose 97*j - 162*j = -130. Factor -1/5*y**3 - 2/5 + 3/5*y + 0*y**j.
-(y - 1)**2*(y + 2)/5
Let n(w) be the second derivative of -1/231*w**7 + 59*w - 1/11*w**3 + 0*w**6 + 2/11*w**2 + 2/55*w**5 - 1/33*w**4 + 0. Let n(b) = 0. Calculate b.
-2, -1, 1
Suppose 0 = 4*k + 5*b + 51 + 798, 3*b = -k - 221. Let o be k/(-14) + -2*2/(-14). Factor 7*f + o*f - 10*f + 3*f**2.
3*f*(f + 4)
Suppose -4*u - 5 = 5*x, -189*u = -4*x - 187*u + 22. Let -6/5*n**x + 24/5*n + 9/5*n**2 + 12/5 - 3/5*n**4 = 0. What is n?
-2, -1, 2
Let x = 61626 + -61624. Factor 50*l - 250 - 5/2*l**x.
-5*(l - 10)**2/2
Let -64/3 + 0*m - 2/3*m**3 + 4*m**2 = 0. What is m?
-2, 4
Let t(q) be the second derivative of -5 - 20/3*q**4 + 2*q + 58/3*q**3 + 4/15*q**6 - 24*q**2 + 1/5*q**5. Let t(g) = 0. Calculate g.
-4, 1, 3/2
Suppose -2*g + 0*g = -2*x + 18, -4*g = -5*x + 45. Factor x*m - 20*m - 140 + 11*m**2 - 6*m**2 + 146*m.
5*(m - 1)*(m + 28)
Let g(f) be the third derivative of f**7/70 + 279*f**6/40 - 423*f**5/10 + f**4/2 + 564*f**3 + 15*f**2 + 61*f. Factor g(v).
3*(v - 2)**2*(v + 1)*(v + 282)
Let j be (-3)/24*-1994 + 6/3. Let m = j - 251. Factor -m*g**2 - 3/4*g + 0.
-g*(g + 3)/4
Suppose 5*y**4 + 1344*y - 549*y + 959*y**3 - 174*y**3 - 143*y**2 - 998*y**2 - 444*y**2 = 0. What is y?
-159, 0, 1
Let h be 8/(-32) - (-498)/8. Suppose -h*d = -74*d + 24. Factor -2/3*v**4 + 0 + 4/3*v**d + 0*v + 2/3*v**3.
-2*v**2*(v - 2)*(v + 1)/3
Let y(h) be the third derivative of -8*h**8/21 - 304*h**7/105 - 131*h**6/20 - 6*h**5 - 9*h**4/4 - 2*h**2 - 46*h - 3. Find i, given that y(i) = 0.
-3, -1, -3/8, 0
Solve -244/17 - 478/17*q**2 - 114/17*q**3 + 2/17*q**4 - 606/17*q = 0.
-2, -1, 61
Let u be (2 - -50)/((-3)/(6/(-4))). Factor -9*l**2 + u*l + 27*l**2 - 8*l**2 - 12*l**2.
-2*l*(l - 13)
Let f(o) be the second derivative of 1/30*o**6 - 1/12*o**4 + 0*o**2 + 0*o**3 - 1/84*o**7 + 1/40*o**5 + 0 + 58*o. Find a, given that f(a) = 0.
-1, 0, 1, 2
Let c(j) be the first derivative of 0*j**2 + 0*j**3 + 1/3*j**4 - 4/15*j**5 + 1/18*j**6 + 0*j + 36. Find k, given that c(k) = 0.
0, 2
Let l(v) be the first derivative of v**3/9 + 17*v**2/6 + 16*v/3 - 1756. Determine p, given that l(p) = 0.
-16, -1
Let g(a) be the first derivative of -2*a**2 + 48*a + 0*a**4 - 10*a**2 - 8*a**3 - 33 + 2*a**2 - a**4. Factor g(v).
-4*(v - 1)*(v + 3)*(v + 4)
Let f(y) be the second derivative of 0 + 10/21*y**3 + 3*y**2 + 1/42*y**4 + 56*y. Find s such that f(s) = 0.
-7, -3
Let i(j) = 100*j**3 - 10235*j**2 - 48620*j - 48795. Let h(g) = 9*g**3 - 934*g**2 - 4420*g - 4436. Let n(y) = 45*h(y) - 4*i(y). Factor n(a).
5*(a - 222)*(a + 2)**2
Let b(q) be the first derivative of 23*q**4/8 - 7*q**3/6 - 23*q**2/4 + 7*q/2 - 196. Factor b(p).
(p - 1)*(p + 1)*(23*p - 7)/2
Let k(y) be the first derivative of y**3/3 + 178*y**2 + 31684*y + 1068. Factor k(s).
(s + 178)**2
Let g(a) be the third derivative of -a**6/30 + 32*a**5/15 - 10*a**4 + 5106*a**2. Factor g(s).
-4*s*(s - 30)*(s - 2)
Factor 2775*v**3 + 5325*v**3 - 4338*v**4 + 3*v**5 - 15000*v**2 + 4032*v**4.
3*v**2*(v - 50)**2*(v - 2)
Suppose -2*l - c + 27 = 0, -4*l = -0*c - c - 63. Let k(z) be the second derivative of -1/20*z**5 + l*z + 0 + 0*z**4 + 0*z**3 + 0*z**2. Factor k(b).
-b**3
Let b be 17 - 10 - (7 - (4 + 1 + 1)). Let l(h) be the first derivative of 0*h - 14/15*h**3 - 4/15*h**b + 13 - 3/2*h**4 - 1/5*h**2 - 26/25*h**5. Factor l(g).
-2*g*(g + 1)**3*(4*g + 1)/5
Let k(c) be the first derivative of -234 - 3125/3*c**3 + 250*c**2 - 20*c. Determine h, given that k(h) = 0.
2/25
Let m = -40 - -42. Factor o**4 - 1 + m*o**3 - 9*o**4 + 7*o**4 - o**5 + 2*o**2 - o.
-(o - 1)**2*(o + 1)**3
Let a be 20 + (-28 - -12) + 40/(-16) + -1. Let 8 - a*b**5 - 5/2*b**4 + 16*b - 2*b**3 + 8*b**2 = 0. What is b?
-2, -1, 2
Let t(q) be the third derivative of 20*q**2 + 1/36*q**4 + 2/9*q**3 + 0*q + 0 - 1/90*q**5. Factor t(c).
-2*(c - 2)*(c + 1)/3
Let x(i) be the second derivative of 76*i - 25/3*i**3 + 0 + 0*i**2 - 1/10*i**5 - 5/3*i**4. Factor x(g).
-2*g*(g + 5)**2
Let p(i) be the third derivative of 0*i + 1/6*i**6 - 23/15*i**5 + 98*i**2 + 0*i**3 + 2*i**4 - 1. Find h such that p(h) = 0.
0, 3/5, 4
Factor 120*z**2 - 824*z + 119*z**2 + 114*z**2 - 828 + 116*z**2 - 465*z**2.
4*(z - 207)*(z + 1)
Let k be ((-610)/(-175) + -5)*(-185)/328. Let y = 1/328 + k. Factor -y*u**2 + 3/7*u**4 + 0*u + 0*u**3 + 3/7.
3*(u - 1)**2*(u + 1)**2/7
Let p(f) be the second derivative of 11*f**7/147 + 82*f**6/15 - 1073*f**5/70 + 190*f**4/21 + 36*f**3/7 + 3*f + 38. Suppose p(r) = 0. Calculate r.
-54, -2/11, 0, 1
Let q(h) be the third derivative of h**7/1050 + 341*h**6/300 + 38987*h**5/100 + 5797*h**4/3 + 11560*h**3/3 + 3*h**2 - 6*h + 6. Factor q(t).
(t + 1)**2*(t + 340)**2/5
Suppose 0 = 34*s - 12*s - 30580. Suppose -s*d - 80 = -1392*d. Factor -d + 5/2*n**3 - 45/2*n**2 + 60*n.
5*(n - 4)**2*(n - 1)/2
Let z(b) be the first derivative of 2*b**5/65 + 83*b**4/26 - 866*b**3/39 + 613*b**2/13 - 528*b/13 - 130. Solve z(w) = 0.
-88, 1, 3
Factor -116/5*o + 2/5*o**2 + 106.
2*(o - 53)*(o - 5)/5
Let q be (-406)/(-420) + 8/6*9*(-27)/405. Factor -q*u**2 + 5/3*u - 8/3.
-(u - 8)*(u - 2)/6
Let l(p) be the third derivative of -p**8/120960 + p**7/2016 + p**6/270 - 121*p**5/60 - 128*p**2. Let o(d) be the third derivative of l(d). Factor o(b).
-(b - 16)*(b + 1)/6
Let i(p) be the second derivative of -3*p**4/2 - 547*p**3/2 - 273*p**2/2 - 3728*p. What is z in i(z) = 0?
-91, -1/6
Let t = -4484 - -8969/2. Let p(u) be the first derivative of -2*u**2 + 24 + 2*u**5 + t*u**6 - 4*u**3 + 0*u + 3/4*u**4. Find i such that p(i) = 0.
-2, -1/3, 0, 1
Factor -1024/13 + 2/13*m**3 - 68/13*m**2 + 640/13*m.
2*(m - 16)**2*(m - 2)/13
Let c(g) = 4*g**3 + 117*g**2 - 658*g + 582. Let q(a) = -10*a**3 - 352*a**2 + 1974*a - 1732. Let y(w) = 8*c(w) + 3*q(w). Factor y(r).
2*(r - 54)*(r - 5)*(r - 1)
Let j(m) be the second derivative of -2*m**7/21 - 316*m**6/15 - 8104*m**5/5 - 41040*m**4 + 396576*m**3 - 1259712*m**2 - 10*m + 25. Suppose j(w) = 0. What is w?
-54, 2
Let o(d) = -d**2 + 1. Let v(y) = y**2 - 13*y - 6. Let k(z) = -2*o(z) - v(z). Let c be k(-13). Factor -6*s**2 + 5*s**4 + 10*s**c + 0*s**3 + 5*s**3 - 4*s**2.
5*s**2*(s + 1)*(3*s - 2)
Let u(x) be the first derivative of -2*x**3/33 - 32*x**2/11 + 1800*x/11 + 10868. Let u(c) = 0. What is c?
-50, 18
Let b = -13 + 121. Let -326*i + 28*i**4 - 12*i**5 + 48 + 153*i + 157*i + 60*i**3 - b*i**2 = 0. What is i?
-2, -2/3, 1, 3
Let a = -543 - -545. What is i in -13*i**2 + 5*i**a + 10*i**3 - 3*i**3 - 2*i**3 + 3*i + 0*i**3 = 0?
0, 3/5, 1
Let j(h) be the second derivative of 0*h**3 + 0*h**5 + 1/105*h**6 + 0 + 0*h**2 + 89*h - 2/21*h**4. Factor j(p).
2*p**2*(p - 2)*(p + 2)/7
Let a(h) be the first derivative of h**3/3 + 55*h**2/2 - 300*h + 657. Factor a(j).
(j - 5)*(j + 60)
Let y be (3/3)/((-4)/(-492)) + -2. Let z = y + -24. Suppose 0 - 87*o + 194*o - z*o - 2*o**3 - 2*o**2 - 6 = 0. What is o?
-3, 1
Let j(l) be the first derivative of -l**5/2 + 2565*l**4/4 - 292410*l**3 + 50002110*l**2 + 1473. Find c such that j(c) = 0.
0, 342
Let p(a) be the third derivative of -9*a**8/112 + 4*a**7/5 - 381*a**6/160 + 263*a**5/80 - 39*a**4/16 + a**3 - 2*a**2 - 22. What is l in p(l) = 0?
2/9, 1/2, 1, 4
Let m(x) be the first derivative of -2*x**3/39 - 618*x**2/13 - 190962*x/13 - 1313. Suppose m(t) = 0. Calculate t.
-309
Let k = 823/6 + -803/6. Let s(t) be the second derivative of 25/2*t**2 - 5/12*t**4 + 0 + k*t**3 + 20*t. Suppose s(c) = 0. What is c?
-1, 5
Let b(v) be the third derivative of -49*v**6/720 + 47*v**5/240 + v**4/24 + 55*v**3/6 - 2*v**2 + 56. Let w(u) be the first derivative of b(u). Factor w(y).
-(y - 1)*(49*y + 2)/2
Let b(w) = -w**3 + 3*w**2 + w - 11. Let c(i) = -3*i**2 + 9. Suppose 3*a - 1 = -10. Let g(d) = a*b(d) - 4*c(d). Factor g(x).
3*(x - 1)*(x + 1)**2
Let z(x) be the first derivative of -x**4/3 + 88*x**3/3 - 968*x**2 - 34*x - 69. Let q(v) be the first derivative of z(v). Find r such that q(r) = 0.
22
Suppose x = p -