uppose j(i) = 0. What is i?
-105, 2
Let o(c) be the second derivative of -c**7/2520 - 31*c**6/540 - 961*c**5/360 - 26*c**3 + c + 35. Let z(w) be the second derivative of o(w). Factor z(s).
-s*(s + 31)**2/3
Suppose 93*b + 245*b - 712 = -192*b + 174*b. Determine z so that 1372/3 - 4/3*z**4 + 80/3*z**3 + 784/3*z - 168*z**b = 0.
-1, 7
Let h be 6489/36 - (-28)/16. Factor 131 + 190*m**2 + h*m**2 - 88*m - 376*m**2 - 39.
-4*(m - 1)*(m + 23)
Suppose -1 - 2 = -u. Suppose -16*w = -20*w - 8, 8 = n + 2*w. Factor -19*m**2 + 11*m**2 - 81 - 45*m**2 - n*m**u - m**2 - m**4 - 108*m.
-(m + 3)**4
Let s(t) be the second derivative of -t**6/45 - 7*t**5/30 - 7*t**4/9 - 8*t**3/9 + 96*t. Factor s(x).
-2*x*(x + 1)*(x + 2)*(x + 4)/3
Let q(r) = r**3 - 2*r**2 - r - 16. Let w be q(4). Let a(j) = j**4 + 2. Let h(u) = u**3 - 6. Let y(p) = w*a(p) + 4*h(p). Factor y(x).
4*x**3*(3*x + 1)
Let b(u) = -u**2 + 8*u + 7. Let z be b(9). Let d be -2 + 1 - -4 - (-6)/z. Solve -12*i**3 + 3*i + d*i**3 - 2*i - 8*i**2 + 3*i = 0.
-1, 0, 1/3
Let f(d) be the first derivative of -d**8/5040 - d**7/840 - d**6/540 - d**3/3 + 6*d + 160. Let t(u) be the third derivative of f(u). Factor t(y).
-y**2*(y + 1)*(y + 2)/3
Factor 2/3*q**2 + 56/3*q - 40.
2*(q - 2)*(q + 30)/3
Suppose -22*x + 27*x - 20 = 0. Let g be ((-6)/(-15))/(x/20). Factor 8 - 14*p**2 + 4*p**2 - g*p**3 + 2*p**2 + 2*p.
-2*(p - 1)*(p + 1)*(p + 4)
Find f, given that -96 + 83*f - f**2 - 3*f + 40*f + 96 = 0.
0, 120
Find o such that -6*o**3 + 59 + 53 - 15*o**2 + 11*o**3 + 10*o - 112 = 0.
0, 1, 2
Let z(t) be the third derivative of 85/6*t**4 - 50*t**3 + 67*t**2 + 0 - 31/45*t**5 + 1/90*t**6 + 0*t. Let z(m) = 0. What is m?
1, 15
Let n(s) be the first derivative of 3*s**4/4 + 14*s**3 - 165*s**2/2 - 204*s + 1684. Factor n(j).
3*(j - 4)*(j + 1)*(j + 17)
What is i in -75/4*i - 15/8*i**2 - 3/8*i**4 + 0 + 3*i**3 = 0?
-2, 0, 5
Factor -50/11*c**2 - 72/11 + 18/11*c**3 - 336/11*c.
2*(c - 6)*(c + 3)*(9*c + 2)/11
Let a(k) = -13*k + 35. Let o be a(3). Let l be -7*o/910*5. Let 10/13*x**4 - 4/13*x + 0 - 18/13*x**3 + 14/13*x**2 - l*x**5 = 0. What is x?
0, 1, 2
Let i(j) be the third derivative of -j**6/60 - j**5/30 + j**4/6 + 1118*j**2. Factor i(o).
-2*o*(o - 1)*(o + 2)
Let o(d) = 12*d**3 + 35*d**2 + 26*d - 2. Let c(f) = 3*f + 4. Let n(j) = j + 1. Let g(u) = -c(u) + 4*n(u). Let y(m) = 5*g(m) - o(m). Factor y(a).
-(a + 1)*(a + 2)*(12*a - 1)
Let q(i) be the third derivative of -i**5/90 - 13*i**4/9 - 100*i**3/9 + 14*i**2 + 1. Solve q(r) = 0 for r.
-50, -2
Let 8/11*k**3 + 1536/11*k - 608/11*k**2 - 2/11*k**5 - 1120/11 + 30/11*k**4 = 0. What is k?
-5, 2, 14
Find y such that -92/11*y**2 + 0*y + 0 - 34/11*y**4 + 786/11*y**3 = 0.
0, 2/17, 23
Let l(u) be the first derivative of -16*u**5/5 - 1082*u**4 - 293761*u**3/3 - 73035*u**2 - 18225*u - 1615. Factor l(k).
-(k + 135)**2*(4*k + 1)**2
Let d(w) be the third derivative of w**6/660 + 13*w**5/330 + w**4/11 + 1509*w**2. Factor d(m).
2*m*(m + 1)*(m + 12)/11
Let y(l) be the third derivative of 1/8*l**5 - 38*l**2 + 0*l**3 + 0 + 3*l - 1/160*l**6 + 11/32*l**4. Factor y(x).
-3*x*(x - 11)*(x + 1)/4
Let h be 6/(-5) - (-12)/60 - -4. Suppose 0 = -2*r - 3*p - 11, -2*r + 5*p = -h*r - 23. Let 0 - 26/5*v**4 + 4/5*v - 4/5*v**3 + 26/5*v**r = 0. What is v?
-1, -2/13, 0, 1
Let t be (912/266)/(2/14). Let w(z) = -z + 26. Let y be w(t). Let 0 + 0*m**y + 1/2*m**5 + 2*m**4 + 0*m**3 + 0*m = 0. Calculate m.
-4, 0
Suppose 0 = 15*v - 12*v + 4*g - 4, 3*g = -4*v + 10. Let f be 318/360 - v/48. Factor 8/5 - f*x - 4/5*x**2.
-4*(x - 1)*(x + 2)/5
Let q(f) be the second derivative of 0*f**2 + 11 - 1/7*f**3 + 3/70*f**5 - 1/42*f**4 + 1/105*f**6 + 3*f. Factor q(m).
2*m*(m - 1)*(m + 1)*(m + 3)/7
Let t(s) = s**3 - 2*s**2 + 1. Let j(m) = 2*m**3 - 10*m**2 - 5*m + 1. Let a be ((-1)/5)/((-114)/30 + 4). Let z(h) = a*j(h) + 3*t(h). Let z(g) = 0. What is g?
-2, -1
Let o = -16338 + 16342. Determine p so that 81/11*p - 17/11*p**3 + 63/11*p**2 + 0 + 1/11*p**o = 0.
-1, 0, 9
Factor 1524/23*u + 290322/23 + 2/23*u**2.
2*(u + 381)**2/23
Let o(z) be the first derivative of 0*z**2 + 0*z**3 - 8/5*z**5 + 49 + 0*z + 0*z**4 - 2/3*z**6. Find a such that o(a) = 0.
-2, 0
Let 230/3*p**2 + 2/3*p**3 + 6496/3*p - 6728/3 = 0. Calculate p.
-58, 1
Let w(b) be the second derivative of 0*b**2 + 0 + 1/120*b**6 - 1/12*b**3 - 3/80*b**5 - 77*b - 5/48*b**4 + 1/168*b**7. Let w(l) = 0. Calculate l.
-1, 0, 2
Let p(n) = -7*n - 21 + 14*n**2 + 3*n + 3*n**4 + 9*n**4 - 3*n + 12*n**3. Let k(h) = 2*h**4 + h - 1. Let d(q) = 5*k(q) - p(q). Solve d(m) = 0 for m.
-4, -2, -1, 1
Let x(c) be the second derivative of -c**4/24 + 39*c**3/4 - 115*c**2/2 + 79*c + 2. Factor x(z).
-(z - 115)*(z - 2)/2
Determine r so that 2/19*r**5 + 0*r - 126/19*r**3 + 64/19*r**2 + 60/19*r**4 + 0 = 0.
-32, 0, 1
Let d(g) = -7*g + 32. Let z be d(4). Factor z*h**3 + 14 - 3*h**3 + 3*h**3 - 32*h + 20*h**2 - 206.
4*(h - 3)*(h + 4)**2
Let l(c) be the second derivative of -c**5/40 - c**4/3 - 19*c**3/12 - 3*c**2 + 1060*c. Find f such that l(f) = 0.
-4, -3, -1
Let s(j) = 3*j**2 - 18. Let y be s(-3). Solve -2 - 4 + 4*u + u**2 + y = 0.
-3, -1
Let q be (-5 + 4)*4*-1. Suppose -3*v = 2*u - q - 0, -2*v - 3*u + 6 = 0. Factor v + 4 - 46*o + 8 + 14*o**2.
2*(o - 3)*(7*o - 2)
Suppose 45*j - 86 = -86. Let g(m) be the third derivative of j*m**3 - 1/120*m**6 - m**2 + 1/15*m**5 + 0 - 1/8*m**4 + 0*m. Determine z, given that g(z) = 0.
0, 1, 3
Let p(s) be the first derivative of -1/27*s**5 - 1/270*s**6 + 0*s**3 - 21/2*s**2 + 0*s - 2/27*s**4 - 25. Let f(w) be the second derivative of p(w). Factor f(b).
-4*b*(b + 1)*(b + 4)/9
Let r(a) be the first derivative of 1/5*a**5 - 7/2*a**4 + 8 + 0*a**2 + 0*a**3 + 0*a. Suppose r(s) = 0. What is s?
0, 14
Factor 78/5*b**2 + 3/5*b**3 - 78/5 - 3/5*b.
3*(b - 1)*(b + 1)*(b + 26)/5
What is y in 127/4*y**2 + 0 + 121/4*y**3 - 33/2*y + 5/4*y**5 - 67/4*y**4 = 0?
-1, 0, 2/5, 3, 11
Factor 27*g**4 + 6*g**5 - 210*g**2 - 9*g**5 - 98 + 29 - 35*g**3 - 36 + 29*g**3 - 279*g.
-3*(g - 7)*(g - 5)*(g + 1)**3
Let y(b) be the first derivative of -2/15*b**5 + 2/9*b**3 + 0*b - 2*b**2 + 7/6*b**4 - 32 - 1/9*b**6. Determine z, given that y(z) = 0.
-3, -1, 0, 1, 2
Factor -712/7*w + 4/7*w**2 + 0.
4*w*(w - 178)/7
Let g(o) = 5*o**2 + 1438*o + 2898. Let p(s) = 4*s**2 + 1438*s + 2896. Let h(d) = -6*g(d) + 7*p(d). What is l in h(l) = 0?
-2, 721
Let l(h) = -3*h**2 - 2*h + 1. Let g(w) = 32*w**2 + 1074*w + 1042. Let b(o) = 2*g(o) + 22*l(o). Factor b(v).
-2*(v - 1053)*(v + 1)
Let w = -53/2502 - -125683/27522. Let -12/11*j**2 - 16/11*j - 2/11 + 80/11*j**3 - w*j**4 = 0. Calculate j.
-1/5, 1
Let o(c) be the third derivative of -c**6/120 + 3*c**5/20 + c**4/8 - 11*c**3/3 + 9*c**2. Let j be o(9). Factor -1728*u**3 + 1730*u**3 + 0*u**j - 2*u**5.
-2*u**3*(u - 1)*(u + 1)
Let u = -69/4 + 691/40. Let l(b) be the second derivative of -u*b**5 + 0 - 4*b**2 + 7/24*b**4 - 2/3*b**3 - 19*b. Find i such that l(i) = 0.
-1, 4
Let p = 665 + -663. Suppose s - 8 = -p*o - 6, -o + 1 = -5*s. Factor -4/7*x**2 + 0 + 2/7*x**4 + s*x - 2/7*x**3.
2*x**2*(x - 2)*(x + 1)/7
Let b = -1822 - -1824. Let -2/3*w**4 - 2*w**3 + 0 + 0*w + 20/3*w**b = 0. Calculate w.
-5, 0, 2
Suppose 7*h - 120 = 4*h. Let u = h + -33. Factor -u*k**3 - 8*k - 4*k**4 - 20*k**2 + k**3 - 10*k**3.
-4*k*(k + 1)**2*(k + 2)
Let z(a) be the second derivative of -a**6/10 + 12*a**5/5 + 67*a**4/4 - 95*a**3 + 551*a + 3. Let z(t) = 0. Calculate t.
-5, 0, 2, 19
Let q = 13227 - 13223. Let i(r) be the first derivative of -9/8*r**q + 1/10*r**5 - 19/4*r**2 + 3*r - 31 + 7/2*r**3. Factor i(t).
(t - 6)*(t - 1)**3/2
Let d(q) be the third derivative of q**2 - 1/2*q**4 + 45*q**3 + 0*q + 1 + 1/450*q**5. Factor d(m).
2*(m - 45)**2/15
Let z(d) = -741*d + 239. Let s be z(-5). Let f = 43416/11 - s. Factor f - 40/11*t - 2/11*t**3 + 16/11*t**2.
-2*(t - 4)*(t - 2)**2/11
Suppose -1/3*l**4 - 28/3*l**2 - 6*l**3 + 128/3 + 24*l = 0. What is l?
-16, -2, 2
Let o(s) = -28*s**3 - 20692*s**2 - 3812509*s + 3832678. Let v(l) = 4*l**3 + 2956*l**2 + 544644*l - 547528. Let x(z) = -4*o(z) - 29*v(z). Factor x(k).
-4*(k - 1)*(k + 370)**2
Let z be (-125538)/(-10290) - 1*8. Factor z + 3/5*f**2 + 24/5*f.
3*(f + 1)*(f + 7)/5
Suppose 352*q + 35 - 526*q + 309*q - 195*q**2 + 25*q**3 = 0. Calculate q.
-1/5, 1, 7
Let g(m) be the first derivative of 2*m**3/3 - 1366*m**2 + 932978*m - 1357. Determ