+ -6. What is n in -4/3*n**2 - v*n - i = 0?
-1
Suppose -20*g - 45 + 145 = 0. Factor 16*r + 65 + 18*r + 11*r + g*r**2 + 25.
5*(r + 3)*(r + 6)
Let p = 69 + -67. Factor -13*o + 13*o + 21 - 3*o**p + 6.
-3*(o - 3)*(o + 3)
Let w = 6675 - 6672. Let n(y) be the third derivative of 16/3*y**w - 8/3*y**4 + 16*y**2 + 0 + 0*y + 13/30*y**5 - 1/40*y**6. Find u such that n(u) = 0.
2/3, 4
Suppose -3*i = -5*r + 295, -r + i + 30 = -31. Let v be (-40)/r*-7 - (1 + 2). Find u, given that -v + 3/2*u**2 + 0*u - 1/2*u**3 = 0.
-1, 2
Suppose -1620*z - 1116 + 132 = -1948*z. Factor 72/5 - 2/5*t**z - 48/5*t - 22/5*t**2.
-2*(t - 1)*(t + 6)**2/5
Let v(y) = 3*y - 18. Let f be v(6). Suppose 2*j = -m - j + 9, f = -m - 5*j + 11. Factor 4*c**3 - 69 + 65 - m*c + 4*c**2 + 2*c.
4*(c - 1)*(c + 1)**2
Let u = 55474/139585 - -72/27917. Let 0 - u*y**2 - 58/5*y = 0. Calculate y.
-29, 0
Let u(w) be the third derivative of w**5/300 + 13*w**4/120 - 19*w**3/5 + 6*w**2 - 55*w. Let u(q) = 0. What is q?
-19, 6
Suppose 4/3*c**4 + 82/3*c - 52/3*c**2 + 40 - 10/3*c**3 = 0. Calculate c.
-3, -1, 5/2, 4
Let g(j) = 14*j**3 + 13*j**2 - 13*j + 121. Let w(z) = -16*z**3 - 13*z**2 + 13*z - 146. Let x(v) = 6*g(v) + 5*w(v). Factor x(n).
(n - 1)*(n + 4)*(4*n + 1)
Let b = -32 - -23. Let a(d) = -1. Let r(x) = 4. Let l(w) = b*a(w) - 2*r(w). Let n(p) = 20*p**2 + 152*p - 68. Let f(m) = 4*l(m) + n(m). Solve f(i) = 0.
-8, 2/5
What is y in 2187/5 - 3/5*y**3 - 159/5*y**2 - 405*y = 0?
-27, 1
Let v(i) be the first derivative of -2*i**5/5 + 131*i**4/2 + 2*i**3/3 - 131*i**2 - 2069. Factor v(f).
-2*f*(f - 131)*(f - 1)*(f + 1)
Let b = 6 + -27. Let o be 14/(-315)*5*b. Factor 20/3 - o*s + 2/3*s**3 - 8/3*s**2.
2*(s - 5)*(s - 1)*(s + 2)/3
Suppose 10*y + 256 = 26*y. Let o be (4/(-18))/(y/(-18)). Solve 1/4*x**4 + 0 - 1/4*x**2 + o*x**3 - 1/4*x = 0.
-1, 0, 1
Let z(d) be the second derivative of -d**6/80 - 33*d**5/80 - 87*d**4/32 - 13*d**3/8 + 51*d**2/2 - 3*d + 1792. Suppose z(y) = 0. Calculate y.
-17, -4, -2, 1
Suppose 0 = 6*w - 1192 + 1174. Suppose 2*g + 3*v = -7, -5*v - 21 = w*g - 2*g. Factor -4/7*i**g + 0 - 8/7*i**3 + 8/7*i + 4/7*i**2.
-4*i*(i - 1)*(i + 1)*(i + 2)/7
Suppose -4*o + 48 = 2*a, 3*a - 16 = -a. Suppose -o + 16 = 3*h. Factor -7*s**h + 17*s**2 - 2*s**2 + 15*s - 5*s**2 + 12.
3*(s + 1)*(s + 4)
Solve -940*m + 13*m**3 + 160*m**2 + 16*m**3 - 400 - 2*m**3 - 11*m**3 + 9*m**3 = 0 for m.
-10, -2/5, 4
Suppose -18 = -p + 22. Suppose -3*j - 2*z - 3*z + p = 0, 0 = -2*j - 4*z + 26. Factor -6 + 1 + 12*d**3 - 7*d**3 - 15*d**2 + j*d.
5*(d - 1)**3
Let v be 13/((-1573)/1760)*(-36)/16. Factor -v*n**2 - 6/11*n**4 - 384/11 - 78/11*n**3 - 672/11*n.
-6*(n + 1)*(n + 4)**3/11
Let v = -331 + 377. Suppose v*h = 25*h. Factor -1/2*m**3 - 1/6*m**4 + 0 - 1/3*m**2 + h*m.
-m**2*(m + 1)*(m + 2)/6
Let o(y) be the second derivative of y**5/60 - 11*y**4/36 + 13*y**3/9 - 8*y**2/3 + 447*y. Find b such that o(b) = 0.
1, 2, 8
Let g(i) = 60*i + 90. Let v be g(-17). Let l = v - -932. Let -11/3*m**l + 2/3*m + 3*m**3 + 0 = 0. Calculate m.
0, 2/9, 1
Let b = 387 - 384. Factor 5*r**b - r**3 - 252*r - 64 + 192 + 120*r**2.
4*(r - 1)**2*(r + 32)
Let t(k) be the first derivative of -k**4/3 - 860*k**3/9 + 8*k**2/3 + 3440*k/3 + 7527. Factor t(p).
-4*(p - 2)*(p + 2)*(p + 215)/3
Find j, given that 2/23*j - 2/23*j**3 + 224/23 - 224/23*j**2 = 0.
-112, -1, 1
Let k(t) be the third derivative of -t**6/24 + 119*t**5/4 - 3525*t**4/8 + 5265*t**3/2 - 2*t**2 - 3834*t. Factor k(i).
-5*(i - 351)*(i - 3)**2
Factor -14*g - 107*g - 14401 + 14650 - 44*g + 3*g**2 - 87*g.
3*(g - 83)*(g - 1)
Let c(b) = -3*b**3 - b**2 - 6*b. Let f(a) = -a**3 - 2*a. Let k = 117 - 125. Let z = -44 + 47. Let s(h) = k*f(h) + z*c(h). Factor s(y).
-y*(y + 1)*(y + 2)
Suppose 0 = 19*i - 27*i + 712. Suppose 20*y + 29 - i = 0. Factor -4/17*b**2 - 2/17*b**y + 14/17*b - 8/17.
-2*(b - 1)**2*(b + 4)/17
Let b be (-4)/(-9)*108/24. Find j, given that -10*j - j**2 - 8*j - 4*j**b - 2*j = 0.
-4, 0
Let a(m) be the second derivative of m**5/150 - 59*m**4/90 + 209*m**3/15 + 2541*m**2/5 + 329*m + 2. Suppose a(u) = 0. Calculate u.
-7, 33
Let y be 6/((123/(-205))/((-4)/(-10))). Let f be 1100/1425 - y/(-38). Factor -f*o + 8/3*o**2 - 2.
2*(o - 1)*(4*o + 3)/3
Let a(x) be the second derivative of -x**5/36 + 35*x**4/72 - 10*x**3/3 + 3*x**2/2 + 49*x. Let z(p) be the first derivative of a(p). Factor z(q).
-5*(q - 4)*(q - 3)/3
Let y(v) be the second derivative of 3*v**2 - 1/8*v**4 + 1/2*v**3 + 0 - 3/80*v**5 + 5*v. Determine c, given that y(c) = 0.
-2, 2
Let l(h) be the second derivative of -45/2*h**2 - 35/12*h**4 + 86*h + 1/4*h**5 + 25/2*h**3 + 0. Find b, given that l(b) = 0.
1, 3
What is m in 5*m**3 + 2*m**5 + 66796*m**4 + 11*m**3 + 8*m**2 - 66786*m**4 = 0?
-2, -1, 0
Let y(a) = -3*a**4 + 9*a**3 + 78*a**2 - 64*a + 5. Let n(d) = 4*d**4 - 16*d**3 - 78*d**2 + 66*d - 6. Let r(w) = 5*n(w) + 6*y(w). Solve r(o) = 0 for o.
0, 1, 3, 9
Let c(l) be the first derivative of l**3/4 + 541*l**2/4 + 180*l - 13392. Let c(i) = 0. What is i?
-360, -2/3
Let h = -177/2 - -91. Let y be 84/49 + 4/(-14) - (-35)/(18375/300). Find i such that -h*i**3 - 3/2*i + 0 + 7/2*i**y + 1/2*i**4 = 0.
0, 1, 3
Suppose 11*b + 363 + 748 = 0. Let u = b + 103. Factor 2/7*l + 0 + 6/7*l**3 - 6/7*l**u - 2/7*l**4.
-2*l*(l - 1)**3/7
Let l(i) = -948*i + 111396. Let g(t) = -t**2 - 4742*t + 556982. Let m(z) = 4*g(z) - 22*l(z). Factor m(f).
-4*(f - 236)**2
Let u(o) be the third derivative of o**6/1080 + 25*o**5/108 - 259*o**4/72 + 131*o**3/6 - o**2 - 64*o - 25. Factor u(h).
(h - 3)**2*(h + 131)/9
Let f be (-128)/1392*-29 + 16/(-6). Solve 2/3*l**2 + l**5 - 4/3*l**4 - 5/3*l**3 + 0*l + f = 0 for l.
-1, 0, 1/3, 2
Suppose 3*r + 14 = 2*i, 14*r - 5*i + 28 = 10*r. Let d be 0/r*(-75)/675. Find j, given that 0*j**2 + 3/4*j**5 + d - 3/4*j**3 + 0*j + 0*j**4 = 0.
-1, 0, 1
Suppose -283*j + 187 + 497 = -165. Let w(x) be the first derivative of 19 - 10/9*x - 2/27*x**j - 2/3*x**2. What is o in w(o) = 0?
-5, -1
Suppose -4*c + 5*q = 93, 2*c + 434819 - 434846 = -q. Solve -1/2*d**5 + 5*d**4 + 40*d - 25/2*d**c + 32 - 10*d**2 = 0.
-1, 4
Find n such that -170/3*n**3 + 2/3*n**5 - 58*n**2 + 0 - 6*n**4 + 120*n = 0.
-4, -3, 0, 1, 15
Let d(w) be the first derivative of -w**3/3 - 65*w**2/2 - 64*w - 2026. Factor d(u).
-(u + 1)*(u + 64)
Let t(a) be the first derivative of -a**4 + 80*a**3 + 374*a**2 + 504*a - 3270. Factor t(f).
-4*(f - 63)*(f + 1)*(f + 2)
Factor -5*o**2 - 6368 + 325*o - 753 - 1945*o - 1890*o + 121.
-5*(o + 2)*(o + 700)
Factor -18/7*f - 20 + 2/7*f**2.
2*(f - 14)*(f + 5)/7
Let f(v) be the first derivative of -v**5/40 + v**4/3 + v**3/12 - 2*v**2 + 42*v + 18. Let t(r) be the first derivative of f(r). Factor t(p).
-(p - 8)*(p - 1)*(p + 1)/2
Let r(f) be the second derivative of 1/66*f**4 + 1/11*f**3 - 98*f + 0 - 10/11*f**2. Factor r(c).
2*(c - 2)*(c + 5)/11
Let r(i) = 13*i - 303. Let l(g) = -10*g + 302. Let u(d) = 5*l(d) + 6*r(d). Let o be u(11). Factor o - 4/9*j - 2/9*j**2.
-2*j*(j + 2)/9
Factor -5568/5*j + 3/5*j**2 + 2583552/5.
3*(j - 928)**2/5
Let d = -6037 + 10776046/1785. Let m(o) be the third derivative of -d*o**7 - 1/85*o**5 + 1/51*o**4 - 1/51*o**3 + 1/255*o**6 + 0 + 0*o + 7*o**2. Factor m(i).
-2*(i - 1)**4/17
Suppose -u - 7 = -5*d, -5626*d - u = -5621*d - 23. Factor 3/2*n**d - 3*n**2 + 9 - 15/2*n.
3*(n - 3)*(n - 1)*(n + 2)/2
Suppose -9 = 126*n - 127*n, -4*z + 3 = -n. Solve -69/2*a**z - 3/4*a**5 + 0 - 75/4*a + 45*a**2 + 9*a**4 = 0.
0, 1, 5
Factor -2401*q - 10*q**2 - 25*q**2 - 1630 - 3065*q - 249*q.
-5*(q + 163)*(7*q + 2)
Let h = 43137 - 7548882/175. Let w = h - -1/25. Factor -8/7*p**3 + 0 - 4/7*p**4 + w*p**2 + 8/7*p.
-4*p*(p - 1)*(p + 1)*(p + 2)/7
Factor -17412*d**2 + 38592*d**3 - 462*d - 38130*d**3 - 372*d**2 + 17787 - 3*d**4.
-3*(d - 77)**2*(d - 1)*(d + 1)
Let r be (9/12)/(66/48 - 1). Solve 7*f**2 + 17*f - 24 - 9*f**r - 59*f + 26*f = 0 for f.
-6, -2
Let y(m) be the third derivative of -13/120*m**6 - 1/6*m**5 + 0 - 1/9*m**4 + 0*m**3 - 2/63*m**7 - 1/336*m**8 + m**2 + 13*m. What is q in y(q) = 0?
-4, -1, -2/3, 0
Let x(d) = 31*d**2 - 67*d - 134. Let h(a) = -116*a**2 + 269*a + 537. Let c(k) = 4*h(k) + 15*x(k). Solve c(s) = 0 for s.
-69, -2
Let i = 428192/175167 - 2/58389. Determine m, given that i + 20/9*m - 2/9*m**2 = 0.
-1, 11
Let k(j) be the first derivative of 329 + 31/8*j**2 + 1/2*j + 29/12*j**3. Factor k(w)