/(-1) - (-4 + 8). Suppose -20 = i*d - 76*d. What is m in -6*m**2 + 7*m**4 - 2*m - 6*m**3 - 33*m**d + 9*m**4 + 15*m**4 = 0?
-1, 0
Suppose 5*j + 8 - 33 = 0. Suppose -3*u = j*s - 16, 3*u - 2*u = 2. Factor 16*v - v**s - 192*v**3 + 96*v**3 + 16 - 3*v**2 + 92*v**3.
-4*(v - 2)*(v + 1)*(v + 2)
Suppose 2*a + 2*q = 252, -q + 0*q = 0. Let j = 131 - a. Determine u so that -353*u**4 + 351*u**4 + 3*u**3 - j*u**3 + 12*u**2 = 0.
-3, 0, 2
Let p(m) be the first derivative of 7/90*m**5 + 0*m - 8*m**2 + 1/60*m**6 - 17 + 1/9*m**3 + 5/36*m**4. Let k(q) be the second derivative of p(q). Solve k(x) = 0.
-1, -1/3
Factor -10*h**2 + 68/3*h - 16/3.
-2*(h - 2)*(15*h - 4)/3
Factor 222/7*y + 228/7*y**2 - 452/7 + 2/7*y**3.
2*(y - 1)*(y + 2)*(y + 113)/7
Factor 68/3*l**3 + 0 + 2/3*l**4 - 100*l + 230/3*l**2.
2*l*(l - 1)*(l + 5)*(l + 30)/3
Factor 1/2*a**2 + 126 - 33/2*a.
(a - 21)*(a - 12)/2
Factor -42/19*n**4 - 110/19*n**2 + 0 - 36/19*n - 6*n**3 - 2/19*n**5.
-2*n*(n + 1)**3*(n + 18)/19
Let j(o) be the third derivative of o**5/72 + 205*o**4/36 + 8405*o**3/9 - 387*o**2. Factor j(i).
5*(i + 82)**2/6
Let l(o) be the second derivative of o**4/3 - 562*o**3/3 - 1121*o. Factor l(m).
4*m*(m - 281)
Let p be 1 - (14 - 5)/(-3). Suppose 33 = -a - h + 31, 3*a - 22 = p*h. Suppose -10/13*f**a + 2/13*f**3 - 8/13 + 16/13*f = 0. Calculate f.
1, 2
Solve 202/11*g + 824/11 - 1/11*g**2 = 0.
-4, 206
Let k(j) = -12*j + 254. Let b be k(21). Find i such that -2211*i + 2213*i - i**5 - b*i**4 + 5*i**2 + i**4 + 3*i**3 = 0.
-1, 0, 2
Let g be 2/(6/1561) - 1/3. Let 84*b**2 - 1420*b + g*b + 9426 - b**3 + 12526 - 1452*b = 0. What is b?
28
Factor 0 - 1/3*j**2 + 62/3*j.
-j*(j - 62)/3
Let z = 115937/119 - 16560/17. Factor 4/7*p + z*p**2 + 4/7.
(p + 2)**2/7
Let a be 13*-1 - 25133/(-1839). Factor 1/3*j**3 + a*j + 0 + j**2.
j*(j + 1)*(j + 2)/3
Let v(b) be the third derivative of -b**6/900 - 3*b**5/100 - 3*b**4/10 - 24*b**3 + 160*b**2. Let a(l) be the first derivative of v(l). Let a(o) = 0. What is o?
-6, -3
Let m(j) be the second derivative of -3*j**5/40 - 8*j**4 - 565*j**3/4 - 2025*j**2/2 - 1433*j - 3. Factor m(b).
-3*(b + 5)**2*(b + 54)/2
Let b = -1242 + 1222. Let q be ((-18)/b)/((-4)/(-48)*6). Let -6/5*c + 0 + 3/5*c**4 + 0*c**3 - q*c**2 = 0. Calculate c.
-1, 0, 2
Let j(i) be the third derivative of 0*i + 1/288*i**4 - 19 + 2*i**2 - 1/1440*i**6 + 1/360*i**5 - 1/36*i**3. Factor j(g).
-(g - 2)*(g - 1)*(g + 1)/12
Factor 3*j**3 + 15404 + 225*j**2 + 589*j - j**4 - 7582 - 7612 - 2*j**4 - 160*j.
-3*(j - 10)*(j + 1)**2*(j + 7)
Let k(w) be the second derivative of 3*w - 1/7*w**2 - 1/42*w**3 - 34 + 1/84*w**4. Factor k(a).
(a - 2)*(a + 1)/7
Let j(b) be the third derivative of b**8/1008 + 13*b**7/630 + 11*b**6/180 + 2694*b**2. Factor j(g).
g**3*(g + 2)*(g + 11)/3
Let c(r) be the first derivative of -1/3*r**3 + 3/16*r**4 + 0*r + 0*r**2 - 101 + 1/20*r**5. Solve c(h) = 0.
-4, 0, 1
Factor -1/6*o**3 - 108 + 5/3*o**2 + 21/2*o.
-(o - 9)**2*(o + 8)/6
Let m be (-648)/(-540) - (-13)/(-15). Let z(v) be the first derivative of -15 + 0*v - m*v**3 - 1/4*v**2. Factor z(d).
-d*(2*d + 1)/2
Let r be (-13 - 264/(-22))/(-8)*16. Solve 0 - 51/8*f**r - 9/4*f + 3/8*f**3 + 51/8*f**4 + 15/8*f**5 = 0 for f.
-3, -1, -2/5, 0, 1
Let u(z) be the third derivative of z**5/330 + 491*z**4/66 + 241081*z**3/33 - 663*z**2. Factor u(a).
2*(a + 491)**2/11
What is r in 0 + 1/2*r**5 + 2*r**4 + 21/2*r - 2*r**2 - 11*r**3 = 0?
-7, -1, 0, 1, 3
Factor 12*s**3 + 7350*s**2 + 14691/4*s + 459.
3*(s + 612)*(4*s + 1)**2/4
Let l be (2 + -6 + 6)*(-6)/267. Let o = l - -724/267. Factor -8/3*z**3 - 2/9*z**2 - 8/9*z**4 - 8/9 + o*z.
-2*(z + 2)**2*(2*z - 1)**2/9
Let k(w) be the second derivative of -3*w**5/20 - 13*w**4/8 - 4*w**3 - 15*w**2/4 - 137*w - 2. Factor k(g).
-3*(g + 1)*(g + 5)*(2*g + 1)/2
Suppose -29*s + 1630 = -34*s. Let d = s + 330. Suppose -6/5*l**3 + 0*l - 2/5*l**5 - 6/5*l**d + 0 - 2/5*l**2 = 0. Calculate l.
-1, 0
Let s(v) = -4*v**3 + 2*v**2 + v - 1. Let t(r) = 3*r**3 + 22*r**2 - 18*r - 30. Let h(f) = -2*s(f) - t(f). Determine g so that h(g) = 0.
-4/5, 2, 4
Let c(d) be the first derivative of 0*d + 2*d**4 - 4*d**5 - 4*d**2 + 31 + 20/3*d**3. Factor c(p).
-4*p*(p - 1)*(p + 1)*(5*p - 2)
Let l be ((-238)/510)/((-16)/240). Let w(j) be the second derivative of 196*j**3 - 1 + 2744*j**2 + 1/10*j**5 - 15*j + l*j**4. Factor w(y).
2*(y + 14)**3
Suppose -20*u + 380 - 20 = 0. Factor -292*a**2 + 15 - 936*a**3 - 507*a**4 - 62*a**2 + 72*a - u.
-3*(a + 1)**2*(13*a - 1)**2
Let g(n) be the third derivative of n**5/30 + 145*n**4/4 + 3140*n**2. Factor g(s).
2*s*(s + 435)
Let t(i) = -i**2 + i. Suppose 0*v + 4*v = 24. Let n be (0 - -1)/(v/(-12)). Let o(y) = 3*y**2 - 3*y + 4. Let d(w) = n*o(w) - 10*t(w). Factor d(a).
4*(a - 2)*(a + 1)
Let p(q) = -9*q**3 - 2*q**2 + q + 3. Let x be p(-1). Let t be (-3)/x*(-69 + 68). Suppose 0 + 5/3*j - t*j**2 = 0. What is j?
0, 5
Let v(m) = -m**2 - 2*m - 1. Let j be (-476)/(-49) + 1 + 4/14. Suppose 12*r - 3 = j*r. Let u(l) = l**2 + l. Let n(p) = r*u(p) + 2*v(p). Factor n(d).
(d - 2)*(d + 1)
Let s(m) = -m**2 + 25*m + 5314 + 5346 - 10352. Let d be s(-9). Determine u so that -4 - 14/3*u - 2/3*u**d = 0.
-6, -1
Let x(l) be the second derivative of -l**4/24 + 185*l**3/4 - 277*l**2/2 - 2191*l. Find p, given that x(p) = 0.
1, 554
Let m(g) be the third derivative of -g**5/90 - 239*g**4/36 + 80*g**3/3 - g**2 - 499*g + 2. Find i such that m(i) = 0.
-240, 1
Suppose -3*m = 4*r - 50, 2*r - 90 = -5*m - 3*r. What is w in -36*w - 86 + 33*w**2 - m + 6*w**3 + 15636*w**4 - 15639*w**4 = 0?
-2, 3
Let z = 622 + -621. Let n be z*(-8 + (-520)/(-56)). Let -9/7*l**2 + n*l**3 + 3/7*l - 3/7*l**4 + 0 = 0. Calculate l.
0, 1
Let a = -489/118 + 9947/1062. Determine g so that 4 - 1/9*g**5 - 23/9*g**2 - 13/9*g**4 + 16/3*g - a*g**3 = 0.
-6, -1, 1
Let j(y) be the second derivative of y**5/420 + 11*y**4/168 + 5*y**3/21 + 57*y**2/2 - 2*y - 24. Let k(u) be the first derivative of j(u). Factor k(a).
(a + 1)*(a + 10)/7
Let y(z) = 11*z**2 + 454*z + 10583. Let i be -5*(6 + (-81)/15). Let t(o) = -145*o**2 - 5900*o - 137580. Let b(v) = i*t(v) - 40*y(v). Factor b(q).
-5*(q + 46)**2
Let a(w) be the first derivative of -w**6/150 + w**5/100 + w**4/15 - 2*w**3/15 + 34*w + 22. Let m(s) be the first derivative of a(s). Factor m(b).
-b*(b - 2)*(b - 1)*(b + 2)/5
Solve -656/9 - 172/9*y**3 + 1132/9*y - 4/9*y**4 - 100/3*y**2 = 0.
-41, -4, 1
Factor 244*i - 1607*i + 185*i**2 + 8820 + 110*i**3 - 3257*i + 5*i**4.
5*(i - 3)**2*(i + 14)**2
Determine g, given that 38 + 57*g + 25*g - 22 - 408 + 2*g - 4*g**2 = 0.
7, 14
Factor 306/5*f**2 + 312/5 + 621/5*f - 3/5*f**3.
-3*(f - 104)*(f + 1)**2/5
Factor -329*c**4 - 54*c**2 - 96*c - 49*c**3 - 23*c**3 - 218*c**2 + 349*c**4.
4*c*(c - 6)*(c + 2)*(5*c + 2)
Let k = -2/72309 - -72313/144618. Let s(v) be the first derivative of -47 - v**2 + 2*v + k*v**4 - 2/3*v**3. Solve s(l) = 0 for l.
-1, 1
Let s(a) = -5*a + 410. Let m(u) = u**2 + 2*u + 12. Let t(n) = -5*m(n) + s(n). Determine x, given that t(x) = 0.
-10, 7
Find o, given that -94/5*o - 8*o**2 - 2/5*o**3 + 136/5 = 0.
-17, -4, 1
Let q = 7887 - 7881. Let u(w) be the third derivative of 0 + 0*w**4 - 9*w**2 + 1/75*w**5 - 1/150*w**q + 0*w + 0*w**3. Factor u(p).
-4*p**2*(p - 1)/5
Let m be (-2)/7 + 5/70*3994. Suppose 0 = -16*w + m - 205. Solve 32/5*n - 4/5*n**w - 24/5*n**3 - 16/5*n**2 + 4*n**4 + 0 = 0.
-1, 0, 2
Let g(b) be the third derivative of -1/120*b**5 + 0*b + 0*b**4 + 1/1440*b**6 + 0 - 23*b**2 + 25/6*b**3. Let c(v) be the first derivative of g(v). Factor c(r).
r*(r - 4)/4
Let l(u) = 3*u**3 + 2*u**2 - u - 1. Let w(a) = -68*a**3 - 38*a**2 + 16*a + 24. Let g(y) = 44*l(y) + 2*w(y). Factor g(d).
-4*(d - 1)**3
Let i be (4/(-240))/((-35)/140). Let d(s) be the first derivative of i*s**6 + 13 + 0*s - 1/5*s**4 + 0*s**2 + 0*s**3 + 2/25*s**5. Factor d(y).
2*y**3*(y - 1)*(y + 2)/5
Let p(g) be the first derivative of 2*g**3/15 - 838*g**2/5 - 1678*g/5 + 3589. Factor p(n).
2*(n - 839)*(n + 1)/5
Suppose -5*q + 4*x + 12 = -108, -q + 24 = -4*x. Let p be (-6)/q*-12 + (-5)/3. Solve 1/3*n**2 + p*n + 1 = 0 for n.
-3, -1
Let n = -120/19 - -1838/285. Let z(k) be the second derivative of 0 + n*k**6 - 2*k + 8/7*k**2 + 25/21*k**4 + 19/35*k**5 + 32/21*k**3 + 2/147*k**7. Factor z(c).
4*(c + 1)**3*(c + 2)**2/7
Let v = -667/8 - -677/8. Let o(x) be the first derivative of x