pose -9*r = w*r - 96. Factor -2/3*i**r - 1/3*i**4 + 0 + 2/3*i + 1/3*i**2.
-i*(i - 1)*(i + 1)*(i + 2)/3
Find p, given that 2*p**4 + 0*p**4 + 388*p**3 + 42140 + 372283 + 13572*p**2 + 198476*p + 2*p**4 + 561137 = 0.
-29, -10
Let y(n) = -30*n**3 - 159*n**2 + 705*n + 72. Let g(c) = -90*c**3 - 476*c**2 + 2115*c + 216. Let d(u) = -6*g(u) + 17*y(u). Factor d(k).
3*(k - 3)*(k + 8)*(10*k + 1)
Let f(b) = -b**2 + b + 6. Let g(k) = 15*k**2 - 755*k - 60. Let r(z) = 10*f(z) + g(z). Factor r(j).
5*j*(j - 149)
Let p = 295 - 281. What is c in -695*c + p*c**3 + 335*c - 2*c**4 - 2*c**5 + 348*c + 2*c**2 = 0?
-3, -1, 0, 1, 2
Let h(t) be the second derivative of -t**5/300 + t**4/60 + 217*t**2/2 - 186*t. Let r(p) be the first derivative of h(p). Find z such that r(z) = 0.
0, 2
Factor 0 - 200*c**2 + 4/7*c**3 + 0*c.
4*c**2*(c - 350)/7
Factor -1/7*g**2 - 6*g + 43/7.
-(g - 1)*(g + 43)/7
Let y(i) be the third derivative of i**5/60 + 251*i**4/3 + 669*i**3/2 - 83*i**2 + 10. Let y(d) = 0. Calculate d.
-2007, -1
Let g be (14 - 1) + (8/2)/(-2). Suppose -4*u = 5*z - g, -u = 2*u - 3*z - 15. Factor -4*t + 8*t**4 + 8*t**2 - 3*t**5 - 14*t**4 + u*t**2 - 8*t + 9*t**3.
-3*t*(t - 1)**2*(t + 2)**2
Let c(p) be the first derivative of -132*p**3/7 + 395*p**2/7 + 4*p/7 - 4509. Find b, given that c(b) = 0.
-1/198, 2
Suppose -158 + 1424/9*y - 2/9*y**2 = 0. Calculate y.
1, 711
Let x(d) = -15*d**3 - d**2. Let q(o) = 24*o**4 - 244*o**3 + 124*o**2 + 396*o + 32. Let y(z) = -q(z) + 2*x(z). Let y(w) = 0. What is w?
-1, -1/12, 2, 8
Let w be (-20)/(-6) + (-3)/9. Suppose -2*g - 2 = 0, 6*t - w*t + g - 5 = 0. Factor -5*k**3 - 2*k**2 - 10*k**2 - 20*k - 8*k**t.
-5*k*(k + 2)**2
Let j(d) be the third derivative of -3*d**5/5 + 53*d**4/6 - 88*d**3/3 - 3*d**2 + 122. Solve j(k) = 0.
1, 44/9
What is o in 64772*o + 60141 + 35781 + 18*o**3 - 16*o**3 + 32026*o + 878*o**2 = 0?
-219, -1
Suppose 0 = -16*h - 155 + 187. Suppose -5 = 2*v + w, -4*v + 5*w = -3*v - 25. Factor -3/2*s**h + v*s**3 + 0*s + 3/4 + 3/4*s**4.
3*(s - 1)**2*(s + 1)**2/4
Factor 0*s**2 + 0*s**2 - 122 + 5*s**2 - 165*s - 140 + 422.
5*(s - 32)*(s - 1)
Find y such that 48 + 68*y**2 - 25*y**3 + 16*y**3 + 13*y**3 - 148*y + 28 = 0.
-19, 1
Let s(b) be the second derivative of -1/2*b**2 + 0*b**3 + 0*b**5 + 1/480*b**6 + 5*b - 1/96*b**4 + 0. Let x(o) be the first derivative of s(o). Factor x(f).
f*(f - 1)*(f + 1)/4
Let a be ((-984)/(-492))/((-16)/(-6)). Let j be 6/(-15) + (-10)/(-25). What is h in 3*h**2 - 9/4*h + j + 3/2*h**3 + a*h**5 - 3*h**4 = 0?
-1, 0, 1, 3
Factor 50/13*p**2 - 66*p + 136/13.
2*(p - 17)*(25*p - 4)/13
Let l(u) be the first derivative of u**6/60 + 23*u**5/15 + 529*u**4/12 + 25*u**2/2 - 216. Let s(c) be the second derivative of l(c). Factor s(p).
2*p*(p + 23)**2
Let o = -835410 - -835412. Determine j, given that 0*j + 3*j**o - 16 + 1/2*j**3 = 0.
-4, 2
Let t(n) be the second derivative of n**7/378 - 7*n**5/45 + 4*n**4/9 - 3*n - 2. Find f such that t(f) = 0.
-6, 0, 2, 4
Factor -195/2 + 292/3*z + 1/6*z**2.
(z - 1)*(z + 585)/6
Let u(x) = -7*x**5 + 67*x**4 + 167*x**3 - 227*x**2. Let o(l) = -9*l**5 + 90*l**4 + 222*l**3 - 303*l**2. Let c(g) = 16*o(g) - 21*u(g). Factor c(i).
3*i**2*(i - 1)*(i + 3)*(i + 9)
Let b = -1907/18 + 641/6. Let j(k) be the second derivative of b*k**3 - k**2 + 1/6*k**4 + 18*k + 0. Solve j(x) = 0.
-3, 1/3
Suppose -r + 4*f = 2*r - 14, -4*r - 5*f - 33 = 0. Let s be 0 - 1 - (-3)/r*-2. Factor 26*m**3 - 7*m**3 - 6*m**3 - m**s - 14*m**3.
-m**2*(m + 1)
Let k(v) be the second derivative of -v**5/30 + 10*v**4/9 - 13*v**3 + 54*v**2 - 273*v. Factor k(r).
-2*(r - 9)**2*(r - 2)/3
Let r be ((-1)/3)/(5 - (-2480)/(-495)). Let h be 7/2*r*18/693. Factor -1/4*i**4 + h*i**3 - 16 - 13*i**2 + 24*i.
-(i - 4)**2*(i - 2)**2/4
Suppose -2/13*z**4 + 0*z**2 - 1018/13*z**3 + 0*z + 0 = 0. Calculate z.
-509, 0
Factor 0 + 8/5*g**2 + 2*g**4 - 17/5*g**3 - 1/5*g**5 + 0*g.
-g**2*(g - 8)*(g - 1)**2/5
Let k(t) be the first derivative of -t**5 - 115*t**4/4 - 155*t**3 + 2275*t**2/2 - 1690*t - 3455. Factor k(y).
-5*(y - 2)*(y - 1)*(y + 13)**2
Let v(f) be the second derivative of 5*f**7/42 + 5*f**6/3 - 27*f**5/4 - 35*f**4/3 + 230*f**3/3 - 120*f**2 - 8542*f. Determine a so that v(a) = 0.
-12, -2, 1, 2
Let n = -767 - -773. Let -48 - 145*u**4 - 24*u**3 + n*u + 45*u**2 + 148*u**4 + 18*u = 0. Calculate u.
-1, 1, 4
Let j(h) be the first derivative of 3*h**5/5 - 2175*h**4 + 3153750*h**3 - 2286468750*h**2 + 828844921875*h - 718. Suppose j(a) = 0. Calculate a.
725
Let c = 2 - 10. Let h be (-1 - 4)*c/10. Find q such that -21 + 25 - h*q**2 + 15*q + q**2 + 14 = 0.
-1, 6
Let b(y) be the third derivative of y**6/780 + y**5/30 - 5*y**4/39 - 28*y**3/13 + 5*y**2 + 4*y - 4. Find s such that b(s) = 0.
-14, -2, 3
Let v = -1236 + 1320. Let a be (v/(-120))/((-12)/(-5) - 3). Let -5/6*r**2 - 1/3 + a*r = 0. What is r?
2/5, 1
Find u, given that u**2 - 125/2 + 999/4*u = 0.
-250, 1/4
Let b(q) = q**2 + q + 1. Let j(c) = -c + 52 - 103 + 50. Let n(g) = 6*g**2 + 9*g + 12. Let z(p) = -6*j(p) - n(p). Let f(k) = 5*b(k) + z(k). Factor f(u).
-(u - 1)**2
Factor 1245/2*i**3 - 2493*i**2 - 12 + 2502*i.
3*(i - 2)**2*(415*i - 2)/2
Determine y, given that -440*y - 118*y**2 + 117*y**2 - 1567 + 691 = 0.
-438, -2
Suppose 56/3 + 12*h + 4/3*h**2 = 0. What is h?
-7, -2
Let x(h) be the second derivative of -h**4/3 + 88*h**3/3 + 824*h - 2. Factor x(v).
-4*v*(v - 44)
Let h(z) be the first derivative of -5/32*z**4 - 1/4*z**3 + 1/48*z**6 + 1/20*z**5 + 0*z - 18 + 0*z**2. Factor h(q).
q**2*(q - 2)*(q + 1)*(q + 3)/8
Let k be 17/(34/8) + 2*-257. Let d = 512 + k. Suppose -6/11*l**d + 48/11 - 12/11*l = 0. Calculate l.
-4, 2
Let x(z) be the first derivative of -5*z**3/12 - 85*z**2/8 + 95*z/2 + 3921. What is f in x(f) = 0?
-19, 2
Let d(a) be the second derivative of -a**7/189 + 164*a**6/135 + 28*a**5/15 - 245*a**4/27 - 823*a**3/27 - 110*a**2/3 + 4870*a. Solve d(o) = 0 for o.
-1, 2, 165
Factor f**4 - 2/3*f**3 + 0 - 4*f**2 + 8/3*f.
f*(f - 2)*(f + 2)*(3*f - 2)/3
Let y(p) = p**3 + 12*p**2 - 45*p + 5. Let r be y(-15). Factor 3*m**r + 10*m**3 - 5*m**5 + 8*m**3.
-2*m**3*(m - 3)*(m + 3)
Let a be ((1 - 1)/6*-1)/(-2). Let t(d) be the second derivative of -8*d + 0 + 1/9*d**3 + 1/18*d**4 + a*d**2. Factor t(q).
2*q*(q + 1)/3
Let p be (-225)/(-9) + 0 + (-18)/(-6) + -6. Factor 48*k**2 - 36*k - 1/4*k**5 + 4*k**4 - p*k**3 + 0.
-k*(k - 6)**2*(k - 2)**2/4
Let a be ((-70)/(-20))/(3*(-2)/(-48)). Suppose -18*p - a*p**2 - 4*p**3 - 32 + 6*p - 44*p = 0. Calculate p.
-4, -2, -1
Let v(r) be the third derivative of 5*r**2 + 0*r**3 + 1/30*r**6 + 0 + 1/3*r**5 + 0*r + r**4. Find b such that v(b) = 0.
-3, -2, 0
Suppose 5*i = -20, 57*b + 74 = 62*b + 4*i. Let d(y) be the second derivative of b*y + 1/60*y**4 + 1/100*y**5 + 0 + 0*y**2 - 1/15*y**3. Factor d(g).
g*(g - 1)*(g + 2)/5
Let g(p) be the third derivative of -p**6/60 + 61*p**5/10 + 251*p**4/4 - 935*p**3/3 - 35*p**2 + 3*p. Factor g(a).
-2*(a - 187)*(a - 1)*(a + 5)
Let c(q) be the third derivative of -4*q**7/21 + q**6/24 + 5*q**5/4 - 5*q**4/24 - 35*q**3/6 - 1916*q**2. Determine f so that c(f) = 0.
-1, -7/8, 1
Suppose -5*c = 4*z - 8, 4*z - 10 = 5*c - 2. Find o, given that 42*o + 1627*o**z - 276 - 165 - 1628*o**2 = 0.
21
Suppose 2*x = -4*t + 12, x = -146*t + 148*t - 6. Factor -64/3*d + x + 28/3*d**2 + 2/3*d**3.
2*d*(d - 2)*(d + 16)/3
Suppose -2035 + 1963 = 6*m. Let t be (-20)/m*(-10 + 11). Suppose -4/3 - 1/3*q**2 - t*q = 0. What is q?
-4, -1
Let s(v) = 2*v**2 - 15. Let n be s(-3). Determine d so that 27*d**2 - 12*d**4 + 33*d**3 - 2*d - 19*d**n - 4*d - 23*d**3 = 0.
-2, 0, 1/4, 1
Suppose 4*a - 10 - 6 = 0. Factor -5*n**a - 10*n**2 - 16*n**3 + 25*n**2 + 6*n - 10 + 11*n**3 - n.
-5*(n - 1)**2*(n + 1)*(n + 2)
Let k = -198955/18 - -22107/2. Factor -2/3*u**2 + 0 - k*u**3 + 2*u.
-2*u*(u + 3)*(2*u - 3)/9
Let r(m) be the second derivative of 0*m**2 + m**4 - 33/20*m**5 + 5/2*m**3 + 48*m + 0 + 1/5*m**6. Determine q so that r(q) = 0.
-1/2, 0, 1, 5
Suppose 3*g = -4 + 421. Let v = 161 - g. Factor 37*y - 7*y + 8*y**2 + v - 3*y**2 + 23.
5*(y + 3)**2
Let j(h) = 3*h + 8. Let k be (-1)/5*-5 - 3. Let i be j(k). Factor -4*f**3 + 8*f**i - 5*f + 0*f**3 + f + 0*f.
-4*f*(f - 1)**2
Solve 114/5*t**2 + 1566/5*t + 2/5*t**3 - 1682/5 = 0 for t.
-29, 1
Suppose -39*l = -32*l - 28. Let 46*j**4 + 55*j**l - 18*j**3 - 104*j**4 - 27*j**2 = 0. Calculate j.