tor -4*n**4 + 2*n**5 - n**5 + 5*n**3 + 0 + 94*n**2 - 96*n**2 + 0.
n**2*(n - 2)*(n - 1)**2
Let a = 7333/2 - 3665. Factor 3/2*c**3 + 3/4*c**4 - a*c - 3/4 + 0*c**2.
3*(c - 1)*(c + 1)**3/4
Let r(i) be the second derivative of -i**6/180 + 4*i**5/45 - 14*i**2 - 42*i. Let v(n) be the first derivative of r(n). Solve v(u) = 0.
0, 8
Solve 17*f + 15*f**2 + 8*f**3 - 19*f + 2*f + f**4 = 0.
-5, -3, 0
Suppose -5*d = -5*f - 190, -28*d + 4 = -27*d. Let i be ((-60)/(-35))/(f/(-21)). Suppose -2/17*j**2 - i - 12/17*j = 0. What is j?
-3
Let -16 + 20*x + 8 + 4*x**3 - 16*x**2 + 0*x**3 = 0. Calculate x.
1, 2
Let 0 + 2*k + 5/2*k**2 + 1/2*k**3 = 0. Calculate k.
-4, -1, 0
Let j be (-4)/26 + 280/130. Let d = 13 + -8. Factor -g - g + d - g**j - 2.
-(g - 1)*(g + 3)
Factor 24/11*s + 0 - 2/11*s**3 - 2*s**2.
-2*s*(s - 1)*(s + 12)/11
Solve -8/5*h + 0 - 2/5*h**3 - 8/5*h**2 = 0.
-2, 0
Suppose r + 3*r - 4 = 0. Let l(j) = j**2 + j. Let t(a) be the first derivative of 16*a**3 - 29*a**2/2 + 4*a - 7. Let d(o) = r*t(o) + l(o). Factor d(x).
(7*x - 2)**2
Suppose 7*r - 643 + 629 = 0. Factor -3/5*h**4 + 3/5*h**r + 0 + 12/5*h**3 - 12/5*h.
-3*h*(h - 4)*(h - 1)*(h + 1)/5
Let d(g) be the first derivative of -g**5/5 + 8*g**4 - 382*g**3/3 + 1008*g**2 - 3969*g + 324. Solve d(q) = 0.
7, 9
Let -200*q - 50625/4*q**4 - 2950*q**2 - 11250*q**3 - 4 = 0. Calculate q.
-2/5, -2/45
Let u = -595 + 595. Let o(f) be the second derivative of 1/9*f**3 - 1/60*f**5 + 0*f**2 + 7*f - 1/36*f**4 + u. Find c such that o(c) = 0.
-2, 0, 1
Factor -1/5*s**2 + 13*s - 1/5*s**3 + 45.
-(s - 9)*(s + 5)**2/5
Let m(t) be the first derivative of 1 - 1/3*t**4 - 1/5*t**6 + 0*t**3 - 10*t + 0*t**2 + 1/2*t**5. Let n(s) be the first derivative of m(s). Factor n(x).
-2*x**2*(x - 1)*(3*x - 2)
Solve -8*v**2 + 33*v**2 + 11294*v + 5*v**2 - 11339*v - 5*v**3 + 20 = 0.
1, 4
Factor 12 - 12*o**2 + 2/3*o - 2/3*o**3.
-2*(o - 1)*(o + 1)*(o + 18)/3
Let y(i) = i**2 + 19*i + 3. Let c be y(-19). Suppose 0 = -3*l + 9, 5*x - 2*x + c*l - 21 = 0. Factor -9/5*s**2 - 3/5*s - 3/5*s**x - 9/5*s**3 + 0.
-3*s*(s + 1)**3/5
Let f(t) = t**3 + 13*t**2 + 23*t - 68. Let b be f(-10). Factor -b*r**3 + 2*r**2 + 4/3*r + 0 - 2*r**5 - 14/3*r**4.
-2*r*(r + 1)**3*(3*r - 2)/3
Let u(i) be the second derivative of -i**4/6 + 56*i**3/3 - 55*i**2 - 100*i. Find j, given that u(j) = 0.
1, 55
Let b(v) be the first derivative of 21*v**5/5 - 71*v**4/3 + 107*v**3/3 - 56*v**2/3 + 4*v - 60. What is o in b(o) = 0?
2/9, 2/7, 1, 3
Let i(u) be the second derivative of 0 + 0*u**2 - 1/8*u**4 + 0*u**3 + 17*u + 3/40*u**5. Find t, given that i(t) = 0.
0, 1
Let f be (-102)/(-18) - (0 - (-8)/12). Suppose f*d = -5*d + 5*d. Determine h, given that -2*h + 2/3*h**3 + d*h**2 - 4/3 = 0.
-1, 2
Suppose -4 = -22*m + 26*m. Let h be m/(-4) + 43/(-172). Factor 1/4*p**4 + h*p + 0 - 1/4*p**2 - 1/4*p**3 + 1/4*p**5.
p**2*(p - 1)*(p + 1)**2/4
Let v(h) be the third derivative of 0 + 1/112*h**8 + 0*h**4 + 9*h**2 + 3/70*h**7 + 0*h**5 + 0*h**3 + 0*h + 1/20*h**6. Factor v(q).
3*q**3*(q + 1)*(q + 2)
Suppose -4*h + 10 = 2*p, 2*h - 2*p - 8 = -0*h. Suppose -2*v - 10 - 1 = h*l, -17 = 4*v + 5*l. Find w, given that -2/3*w**v + 1/3*w**3 + 2/3 - 1/3*w = 0.
-1, 1, 2
Let j be 21/36 + 4/24. Let i be 468/416 - (-1 + 11/8). Factor i*p + 0 - j*p**2.
-3*p*(p - 1)/4
Let d(o) be the first derivative of o**6/42 + o**5/5 - 17*o**4/28 + 3*o**3/7 + 105. Factor d(r).
r**2*(r - 1)**2*(r + 9)/7
Let z(t) be the first derivative of -1/2*t**3 - 1/4*t**4 - 1/20*t**5 - 1/2*t**2 - 1/4*t - 12. Factor z(x).
-(x + 1)**4/4
Factor 2*u - 10*u - u**3 + 129*u**2 - 134*u**2 - 4.
-(u + 1)*(u + 2)**2
Let h(c) be the third derivative of -1/240*c**6 + 0*c**4 + 0*c**3 - 1/40*c**5 + 0 + 4*c**2 + 0*c. Let h(w) = 0. Calculate w.
-3, 0
Suppose 3*l - y + 9 = -43, 44 = -l - 5*y. Let a = -13 - l. Suppose 17*x**4 + 28*x**2 - 3*x - 3*x**5 - 40*x**3 - 5*x + a*x**3 = 0. What is x?
0, 2/3, 1, 2
Let n(q) be the second derivative of 3/8*q**2 + 1/120*q**6 + 0 - 5/12*q**3 - 3/40*q**5 + 12*q + 1/4*q**4. Find c, given that n(c) = 0.
1, 3
Suppose -4 = 5*z + 3*u - 11, -5*u = 2*z + 1. Suppose -5*a = -2*s - 2*s - 32, z*a = 2*s + 14. Factor 2/3*c**a + 0*c**2 + 0*c**3 + 0*c + 0 - 2/3*c**5.
-2*c**4*(c - 1)/3
Suppose 3/5*h**4 + 0*h**2 + 3/5*h**5 - 6/5*h**3 + 0*h + 0 = 0. What is h?
-2, 0, 1
Let c(m) = -m**3 - 5*m**2 - 3*m + 1. Let z(a) = 220 - a + 6*a**2 + 5*a + a**3 - 221. Let n(j) = -5*c(j) - 4*z(j). Find u, given that n(u) = 0.
-1, 1
Let p be ((-3645)/(-325) - 12 - -1)*35. Factor -28/13*r + p + 2/13*r**2.
2*(r - 7)**2/13
Let w(k) be the third derivative of -k**6/20 + 13*k**5/15 - 15*k**4/4 - 6*k**3 - 82*k**2. Factor w(v).
-2*(v - 6)*(v - 3)*(3*v + 1)
Let v = -6 + 8. Suppose 5 - 13 = -4*d, v*i + d = 8. Factor -r**2 + 7 - 2 - i - r.
-(r - 1)*(r + 2)
Let d(z) be the first derivative of 2*z**3/27 - 100*z**2/3 + 5000*z - 1026. Find m such that d(m) = 0.
150
Let o(i) = -6*i**5 - 4*i**4 + 7*i**3 - 5*i**2 + 5*i - 5. Let u(g) = 7*g**5 + 5*g**4 - 8*g**3 + 6*g**2 - 6*g + 6. Let q(f) = -6*o(f) - 5*u(f). Factor q(x).
x**3*(x - 2)*(x + 1)
Let b = 55 - 50. Factor 571*z + 100*z**3 + 3125 + 608*z + b*z**4 + 485*z**2 + 1321*z + 265*z**2.
5*(z + 5)**4
Factor 2/17*k**2 + 0 + 4/17*k - 2/17*k**3.
-2*k*(k - 2)*(k + 1)/17
Let v(b) be the first derivative of 6 - 9/2*b**4 - 8*b - 14/3*b**3 + 20*b**2. Factor v(n).
-2*(n - 1)*(n + 2)*(9*n - 2)
Let m(u) be the second derivative of -u**6/30 + 3*u**5/5 - u**4/3 - 32*u**3 - 128*u**2 + 29*u - 2. Factor m(z).
-(z - 8)**2*(z + 2)**2
Let o(h) be the third derivative of -h**8/168 - 2*h**7/105 + 7*h**6/60 + 2*h**5/3 + h**4 + 74*h**2 + 1. What is y in o(y) = 0?
-2, -1, 0, 3
Factor 7/2 - 1/4*v**2 + 5/4*v.
-(v - 7)*(v + 2)/4
Factor -81 - 397/4*d**2 - 171*d - 19/2*d**3 - 1/4*d**4.
-(d + 1)**2*(d + 18)**2/4
Let p(k) be the third derivative of -k**7/735 - k**6/105 - 2*k**5/105 - 172*k**2. Find b such that p(b) = 0.
-2, 0
Let f(b) = -b**2 + 26*b + 459. Let j be f(38). Factor -27/7*k - 27/7 - 1/7*k**j - 9/7*k**2.
-(k + 3)**3/7
Suppose n + 72 = 2*n. Factor 73*z**2 - 3 + 2 - n*z**2.
(z - 1)*(z + 1)
Let u(f) = -f**5 - f**4 + 2*f**3 - 3*f**2 - 3*f + 3. Let v(m) = -6*m**5 - 4*m**4 + 10*m**3 - 16*m**2 - 16*m + 16. Let i(o) = 16*u(o) - 3*v(o). Factor i(t).
2*t**3*(t - 1)**2
Suppose 3/2*d**3 + 12*d - 9*d**2 + 0 = 0. What is d?
0, 2, 4
Let s(a) be the second derivative of a**6/540 + a**5/270 - a**4/108 - a**3/27 + 6*a**2 + 2*a. Let d(b) be the first derivative of s(b). What is k in d(k) = 0?
-1, 1
Let u = -1226 - -1232. Let p(q) be the second derivative of 0 + 1/16*q**4 + 1/60*q**u + 0*q**3 - 6*q + 0*q**2 - 1/16*q**5. What is r in p(r) = 0?
0, 1, 3/2
Let g(v) = -1870*v + 86490. Let r(u) = -u**2 - 936*u + 43245. Let n(h) = -3*g(h) + 5*r(h). Suppose n(m) = 0. What is m?
93
Let j(b) = b**3 + 88*b**2 + 188*b + 96. Let r(n) = 2*n**3 + 132*n**2 + 282*n + 144. Let a(g) = 8*j(g) - 5*r(g). Factor a(f).
-2*(f - 24)*(f + 1)**2
Factor -5 - w**3 + 4 - 2*w**2 + 9 + 5*w - w.
-(w - 2)*(w + 2)**2
Let f = 5861/20783 - -11/2969. Find i such that 10/7 + 12/7*i + f*i**2 = 0.
-5, -1
Let b(t) be the first derivative of t**4/10 + 2*t**3/15 - 16*t**2/5 - 32*t/5 + 118. Find m, given that b(m) = 0.
-4, -1, 4
Let v = -1496 + 1498. Let y(c) be the third derivative of 0 + 0*c + 1/40*c**6 + 0*c**3 - 1/20*c**5 + 0*c**4 + 5*c**v. Factor y(u).
3*u**2*(u - 1)
Let w(z) = -21*z - 13*z + 32*z + 26. Let k be w(12). Let 8/3*i + 8/3 + 2/3*i**k = 0. Calculate i.
-2
Let w(f) be the third derivative of f**9/3780 + f**8/840 + f**7/630 - f**4/6 + 10*f**2. Let l(b) be the second derivative of w(b). Factor l(r).
4*r**2*(r + 1)**2
Let w = 65 + -63. Factor -6*x**3 - 16*x**2 + x**w - 11*x**3 - 3*x**3 - 5*x**4.
-5*x**2*(x + 1)*(x + 3)
Suppose -y - 439 = 5*c, -3*c - 3*y = 2*y + 281. Let q = c - -89. Factor -2/9*o**q - 2/9*o + 0.
-2*o*(o + 1)/9
Let z = -51336 + 51338. Suppose 4/7*b**z + 4/7 + 8/7*b = 0. Calculate b.
-1
Let l(t) = -t - 8. Let q be l(-14). Let m be q/(-6)*(-1 + 1). Suppose -8*g**2 + 5*g**2 + 3*g**4 + m*g**4 = 0. Calculate g.
-1, 0, 1
Suppose 11 = 2*k + 3*c - 3, 0 = 3*c - 12. Let l be (6/(-10))/(k/(-5)). Determine a, given that 21/5*a**5 - 21/5*a**l + 6/5*a**2 + 0 + 0*a - 6/5*a**4 = 0.
-1, 0, 2/7, 1
Let t = -620 + 628. Let v(h) be the first derivative of 0*h**2 - 1/15*h**6 + 4/25*h**5 - t + 0*h**3 - 1/10*h**4 + 0*h. Let v(w) = 