 = 0?
2360
Let w(h) be the first derivative of 4*h**5/5 - 9*h**4 + 100*h**3/3 - 54*h**2 + 40*h + 1246. Suppose w(j) = 0. Calculate j.
1, 2, 5
Determine r, given that 4/3*r**3 + 2/3*r**2 + 2/9*r**4 + 0 - 20/9*r = 0.
-5, -2, 0, 1
Let h(f) be the second derivative of 5*f**4/12 + 55*f**3/2 + 455*f**2 + 1578*f. Factor h(y).
5*(y + 7)*(y + 26)
Let x be 173 + 315/(-65) + 6/(-39). Let y = -164 + x. Suppose -2*j + y + 1/4*j**2 = 0. What is j?
4
Let w(z) be the first derivative of -3*z**7/980 + 4*z**6/315 + z**5/105 + 7*z**3 + 34. Let m(x) be the third derivative of w(x). Suppose m(i) = 0. Calculate i.
-2/9, 0, 2
Let b = -122135/28 + 4362. Let x(r) be the second derivative of 1/14*r**3 - 14*r - 3/140*r**5 - b*r**4 + 3/14*r**2 + 0. Factor x(o).
-3*(o - 1)*(o + 1)**2/7
Let z = 704/293 - 1819/879. Factor -10*h + 75 + z*h**2.
(h - 15)**2/3
Suppose 0 = 106*s + 105*s + 20*s - 924. Factor 0*r**3 + 1/5*r**s + 0 + 1/10*r - 1/10*r**5 - 1/5*r**2.
-r*(r - 1)**3*(r + 1)/10
Let d(x) = 49*x - 21. Let q be d(2). Let i be 0/(-10) + 14/q. Factor 4/11*t - 2/11*t**2 - i.
-2*(t - 1)**2/11
Let m = 25957 + -3114839/120. Let w(t) be the third derivative of 0*t**3 + 0 - 9*t**2 + m*t**6 + 1/210*t**7 - 1/60*t**5 - 1/24*t**4 + 0*t. Factor w(p).
p*(p - 1)*(p + 1)**2
Let b(s) be the first derivative of s**3 + 63*s**2/2 + 60*s - 285. Let b(y) = 0. Calculate y.
-20, -1
Let o(z) = -2*z**2 + 14*z + 4. Let q(y) = 4 - 16 + 8 - 14*y + 2*y**2 - 1. Let n(h) = 5*o(h) + 4*q(h). Let n(f) = 0. Calculate f.
0, 7
Let t(r) be the first derivative of -r**3/21 - 2*r**2/7 + 45*r/7 + 1242. Determine s so that t(s) = 0.
-9, 5
Let -2/7*g**5 + 18/7*g**4 + 62/7*g**2 - 54/7*g**3 - 24/7*g + 0 = 0. What is g?
0, 1, 3, 4
Suppose -24*k = -122*k - 96*k. Let b(a) be the third derivative of k + 7/120*a**6 + 4/21*a**4 - 11/60*a**5 + 0*a - 2/21*a**3 + 21*a**2. Factor b(w).
(w - 1)*(7*w - 2)**2/7
Factor 1/4*y**5 + 27/4*y**2 + 9/4*y**3 - 27/2*y - 7/4*y**4 + 0.
y*(y - 3)**3*(y + 2)/4
Suppose -35*i = 7*i - 84. Factor 2*y**2 + 14 + 5 - 21*y - 5*y**i - 19.
-3*y*(y + 7)
Determine m so that -173 - 48*m - 27*m - 22*m - 68*m + 40*m**2 - 32 = 0.
-1, 41/8
Let d = -4 - -8. Suppose 2*m - 6*m + 12 = 4*p, 4*p = d*m - 4. Let -56*n**m - 47*n**3 + 6*n**5 + 2*n**4 + 8*n**4 - 2 - 2*n**4 - 19*n + 10*n**5 = 0. Calculate n.
-1, -1/4, 2
Let t(k) be the third derivative of k**5/30 - 1393*k**4/12 - 1394*k**3/3 - 2*k**2 + 3*k + 60. Factor t(j).
2*(j - 1394)*(j + 1)
Let v be 341/(-651) - (8 - (-868)/(-98)). Let -10/3*s**2 + 0 - v*s**3 + 0*s = 0. Calculate s.
-10, 0
Suppose 5*l + 10 = 85. Suppose 0 = q - l*q + 42. Solve 19*y**3 + 3*y**4 - 2*y**2 - 5*y**q - 22*y + 8*y - y**4 = 0.
-7, -1, 0, 1
Let x = 5493/44 - 1332/11. Let t(j) be the first derivative of 6 - 12*j + 12*j**2 - x*j**4 + 7*j**3. Factor t(b).
-3*(b - 2)*(b + 1)*(5*b - 2)
Let m(n) be the second derivative of n**7/210 + n**6/30 + 165*n**2/2 - 53*n - 1. Let q(w) be the first derivative of m(w). Factor q(o).
o**3*(o + 4)
Suppose -1430/9 + 1432/9*a - 2/9*a**2 = 0. Calculate a.
1, 715
Suppose -12*p = 3*m + 192, 131*m - 135*m = -5*p - 80. Solve 22/5*z + 1/5*z**2 + m = 0 for z.
-22, 0
Let f(b) = 8*b**2 + 54*b + 6. Let c(j) = j**2 + 1. Suppose -90 = 305*i - 320*i. Let m(u) = i*c(u) - f(u). Factor m(t).
-2*t*(t + 27)
Let n(x) be the third derivative of x**7/140 + 67*x**6/240 + 11*x**5/60 - 225*x**2. Let n(h) = 0. What is h?
-22, -1/3, 0
Let a(l) = 2*l - 30. Let i be a(18). Suppose -2*q + i*w = 3*w + 3, 2*w = q + 2. What is g in 2*g**3 + q + 3*g**2 - 3*g + 1 - 3*g**3 = 0?
1
Let x(b) be the second derivative of -b**6/90 + 163*b**5/60 - 161*b**4/36 - 163*b**3/18 + 27*b**2 - 3080*b. Let x(m) = 0. Calculate m.
-1, 1, 162
Let r = 17198 - 103183/6. Let d(z) be the third derivative of 1/96*z**6 + 0 + 0*z**4 + 0*z - r*z**3 + 24*z**2 + 1/16*z**5. Factor d(w).
5*(w - 1)*(w + 2)**2/4
Suppose -42*n - 71 + 197 = 0. Let y(s) be the second derivative of 0 - 2/3*s**2 - 17/9*s**n - 12*s - 5/6*s**4. Factor y(x).
-2*(x + 1)*(15*x + 2)/3
Let r(c) be the third derivative of -c**5/90 - 31*c**4/72 - 5*c**3/6 - 475*c**2. Determine q, given that r(q) = 0.
-15, -1/2
Let i(k) be the third derivative of k**5/330 + 3*k**4/22 + 24*k**3/11 - 1587*k**2. Find n such that i(n) = 0.
-12, -6
Let t(u) be the second derivative of -u**4/12 + 2*u**3 - 27*u**2/2 + 16*u. Let f be t(7). What is y in 10*y**3 - 13*y**3 + 4*y**5 + f*y**4 + 7*y**3 = 0?
-1, 0
Suppose 3*l - w + 3389 = w, 3388 = -3*l + w. Let b = -1125 - l. Let -4/7 - 4/7*x**2 + 2/7*x**5 - 10/7*x + 8/7*x**3 + 8/7*x**b = 0. Calculate x.
-2, -1, 1
Let b(p) be the first derivative of 1/150*p**5 + 1/15*p**4 + 13*p**2 + 1 + 0*p**3 + 0*p. Let s(v) be the second derivative of b(v). Factor s(a).
2*a*(a + 4)/5
Let z(o) be the second derivative of -59 + 2*o + 1/80*o**5 + 51/16*o**4 + 132651/8*o**2 + 2601/8*o**3. Factor z(i).
(i + 51)**3/4
Let s(u) be the third derivative of -u**5/240 + 565*u**4/48 - 319225*u**3/24 - 5*u**2 + 237. Factor s(z).
-(z - 565)**2/4
Let y be (6/45)/((-1020)/(-306)) - 355/(-500). Let 11/2*c - y*c**3 + 2 - 7/4*c**2 = 0. Calculate c.
-4, -1/3, 2
Let g be (1782/(-90) - -18)/(279/(-124)). Factor 12 + 32/5*a + g*a**2.
4*(a + 3)*(a + 5)/5
Let b(z) be the third derivative of -z**8/84 - 2*z**7/105 + 7*z**6/30 + z**5/15 - z**4 + 72*z**2 - 14. Solve b(u) = 0 for u.
-3, -1, 0, 1, 2
Factor -6/5 - 377/5*i**2 + 1133/5*i.
-(i - 3)*(377*i - 2)/5
Let b(p) = 9*p**2 + 7220*p + 4334412. Let a(h) = 120*h**2 + 93864*h + 56347356. Let f(r) = 2*a(r) - 27*b(r). Determine s, given that f(s) = 0.
-1202
Let v(t) be the first derivative of 2*t**6/15 + 112*t**5/25 + 144*t**4/5 - 344*t**3/15 - 994*t**2/5 - 1176*t/5 + 8070. Find j such that v(j) = 0.
-21, -7, -1, 2
Let s = -5407/5 - -5439/5. What is z in -s + 148/5*z - 18/5*z**2 = 0?
2/9, 8
Let n be 1 - 42/(-70)*(-10)/6*1. Let a(x) be the third derivative of -1/70*x**5 + 1/24*x**4 - 30*x**2 + n*x - 1/840*x**6 + 0 + 0*x**3. Factor a(m).
-m*(m - 1)*(m + 7)/7
Let f(q) be the first derivative of 14*q**3/39 + 85*q**2/13 + 500*q/13 + 619. Let f(c) = 0. What is c?
-50/7, -5
Let w = 443 + -162. Factor -w*t**3 + 21*t**2 + 575*t**3 - 289*t**3 + 34*t**2.
5*t**2*(t + 11)
Let j(n) be the second derivative of n**6/150 + n**5/20 + n**4/30 - 4*n**3/15 - 1210*n. Factor j(y).
y*(y - 1)*(y + 2)*(y + 4)/5
Let w be 30/(-21) - 1395/(-315). Let -3 - 3/5*q**w - 9/5*q**2 + 27/5*q = 0. Calculate q.
-5, 1
Let a(z) = 2*z**4 - 228*z**3 + 3584*z**2 - 6270*z - 2. Let q(i) = i**4 - 226*i**3 + 3584*i**2 - 6269*i - 3. Let m(f) = -3*a(f) + 2*q(f). What is p in m(p) = 0?
0, 2, 28
Let z(n) be the second derivative of n**5/20 + 13*n**4/6 + 113*n**3/6 - 70*n**2 + 2*n + 1439. Suppose z(u) = 0. Calculate u.
-20, -7, 1
Factor 23712*a - 10522*a**3 - 10521*a**3 + 21047*a**3 - 620*a**2 + 24336.
4*(a - 78)**2*(a + 1)
Let 2160/7*a - 1/7*a**4 - 432/7*a**2 + 36/7*a**3 - 3888/7 = 0. What is a?
6, 18
Let a be (((-1)/3 - 0)*-39)/((-18)/(-135)). Determine u, given that -a*u**5 - 115/2*u**3 + 0 - 355/2*u**4 + 5*u + 55/2*u**2 = 0.
-1, -2/13, 0, 1/3
Find z such that -174*z**2 - 232 + 718*z - 3*z**3 + 19 - 188*z**2 + 5*z**3 - 145 = 0.
1, 179
Let s(i) = 72*i**3 + 12072*i**2 + 19812*i + 7974. Let h(l) = 13*l**3 + 2195*l**2 + 3602*l + 1450. Let t(f) = 27*h(f) - 5*s(f). Factor t(c).
-3*(c + 1)*(c + 120)*(3*c + 2)
Let c(q) be the third derivative of 0 + 0*q + 1/336*q**8 + 0*q**3 + 11/70*q**7 + 31/120*q**6 - 11/20*q**5 + 4*q**2 - 4/3*q**4. Let c(b) = 0. What is b?
-32, -1, 0, 1
Let s = 28349/3 + -9449. Let z(l) be the second derivative of 0*l**3 + 30*l + 0 + 0*l**2 + 5/42*l**7 - s*l**6 + 5/4*l**5 - 5/6*l**4. Factor z(m).
5*m**2*(m - 2)*(m - 1)**2
Suppose -15*a**5 + 9360 - 248*a**4 - 22440*a**3 + 49320*a**2 + 820*a**4 - 42160*a + 3033*a**4 = 0. Calculate a.
1/3, 2, 234
Let a be ((-107)/(-2))/(9/162). Suppose -a = 14*g - 17*g. Factor -g + 16*k - 2*k**2 - 15*k**3 - 2*k**2 - k**3 + 325.
-4*(k - 1)*(k + 1)*(4*k + 1)
Factor -877*z**2 + 4133*z**3 - 4137*z**3 + 1277*z**2.
-4*z**2*(z - 100)
Let b(w) be the first derivative of 49*w**4 - 2688*w**3 - 3510*w**2 - 1512*w + 3569. Factor b(x).
4*(x - 42)*(7*x + 3)**2
Suppose 3*g = 3*c - 54, -4*g - 12 = -103*c + 102*c. Find i such that 1/5*i**g - 28/5 - 3/5*i = 0.
-4, 7
Let t = -19 + 21. Suppose 0 = -4*m, 2*m + 6 = t*n - 0*m. Let 2 - 4 + 9*s**n - 9*s + 2*s**2 - 4 + 4 