j**4 + 0*j**2 + 1/20*j**5. Factor n(w).
w*(w + 3)*(2*w - 3)/2
Let z(v) = -22*v**4 + 26*v**3 + 14*v**2 + 30*v. Let o(n) = -2*n**4 + 3*n**3 + n**2 - n + 3. Let l(u) = 12*o(u) - z(u). Find r, given that l(r) = 0.
-2, 1, 3
Let z be 49/(-2)*(-24)/14. Let o be (-60)/(-14) - 126/z. Determine j, given that -12/7 - 12/7*j - 3/7*j**4 + o*j**2 + 6/7*j**3 = 0.
-1, 2
Let h be (96084/40035)/(1 + (-89)/110). Suppose -h*w**3 - 1452/7*w**2 - 2/7*w**4 - 10648/7*w - 29282/7 = 0. What is w?
-11
Let j(i) be the second derivative of 8/15*i**2 + 2/15*i**3 - 1/30*i**4 - 1/150*i**5 - 17 + 3*i. Suppose j(r) = 0. Calculate r.
-4, -1, 2
Factor 512/5 - 1538/15*w + 2/15*w**2.
2*(w - 768)*(w - 1)/15
Factor -2*w**3 - 2*w**5 - 22*w**2 - 11*w**3 + 6*w**4 + 15*w**3 + 0*w**3 - 8 + 24*w.
-2*(w - 2)*(w - 1)**3*(w + 2)
Let h(j) be the first derivative of j**5/120 - 2*j**4/9 + 25*j**3/36 + 7*j**2/2 + 322*j + 341. Let a(w) be the first derivative of h(w). What is m in a(m) = 0?
-1, 3, 14
Let n(i) be the third derivative of i**7/630 + i**6/24 + i**5/12 - 295*i**4/72 + 44*i**3/3 + i**2 - 67*i - 2. Solve n(o) = 0 for o.
-11, -8, 1, 3
Let h(i) be the first derivative of 2/35*i**5 + 40/7*i + 22/7*i**3 - 5/7*i**4 - 65 - 44/7*i**2. Suppose h(b) = 0. What is b?
1, 2, 5
Suppose 413*n - 1210 = 23*n + 350. Suppose 14/11*f**n + 40/11*f**2 - 8/11*f + 0 - 46/11*f**3 = 0. Calculate f.
0, 2/7, 1, 2
Let p(i) be the second derivative of -30 + 1/36*i**4 - 41/18*i**3 - 7*i**2 + 2*i. Find d such that p(d) = 0.
-1, 42
Let y(i) = 3*i + 32. Let d be y(-11). Let t be (102/7)/(42/(-49) - d). Suppose t*w - 5*w**3 + 5*w**2 - 102*w = 0. What is w?
0, 1
Let q be 5 - (8 - 3 - 448/(-164)). Let r = q + 937/328. Solve -1/4*a + r*a**2 + 0 + 1/8*a**3 = 0 for a.
-2, 0, 1
Let j(l) be the second derivative of 0*l**2 - 1/105*l**6 - 1/14*l**4 - 2/35*l**5 + 51 + 3*l + 0*l**3. Determine b, given that j(b) = 0.
-3, -1, 0
Let o be ((-22)/10 - 1513/(-890))/((-4)/16). Factor 1/5*y**o + 18/5*y + 9.
(y + 3)*(y + 15)/5
Let l(n) be the first derivative of -n**3/4 - 159*n**2/8 + 126*n - 1339. Factor l(x).
-3*(x - 3)*(x + 56)/4
Let h = -41796 - -41800. Let q(b) be the third derivative of 2*b**2 + 7/12*b**5 - 5*b**3 + 0 - 95/24*b**h + 0*b. Let q(s) = 0. What is s?
-2/7, 3
Let n = -514 + 544. Suppose 2*q - 2 - 54*q + 20 + n + 4*q**3 = 0. Calculate q.
-4, 1, 3
Let h(s) = 14*s**2 + 4575*s - 1313280. Let t(n) = -6*n**2 - 2288*n + 656642. Let r(u) = -4*h(u) - 9*t(u). Factor r(b).
-2*(b - 573)**2
Let c(u) be the first derivative of 2*u**3/3 + 32*u**2 + 224*u - 4858. Factor c(t).
2*(t + 4)*(t + 28)
Let s(m) be the second derivative of -m**4/4 + 110*m**3 + 663*m**2/2 - 1553*m - 1. Solve s(y) = 0 for y.
-1, 221
Let m be -10*(-1)/8 + 49/(-84). Let f(x) be the first derivative of -12 + 0*x + x**2 - m*x**3. Find n, given that f(n) = 0.
0, 1
Find y, given that 328/3*y + 72*y**2 + 2/3*y**4 + 160/3 + 50/3*y**3 = 0.
-20, -2, -1
Let b(j) be the first derivative of -j**6/6 + 4*j**5/5 + 7*j**4/2 - 24*j**3 + 27*j**2/2 + 108*j + 1108. Factor b(y).
-(y - 3)**3*(y + 1)*(y + 4)
Let p be ((-18)/27 + 2)*9. Let l(w) be the second derivative of 0 - 1/36*w**3 - 1/72*w**4 + 1/6*w**2 + p*w. Determine v, given that l(v) = 0.
-2, 1
Let n(h) = h**4 + 45*h**3 - 93*h**2 + 44*h + 3. Let y(k) = -2*k**4 - 90*k**3 + 186*k**2 - 89*k - 5. Let j(t) = 5*n(t) + 3*y(t). Factor j(b).
-b*(b - 1)**2*(b + 47)
Factor 1/4*w**2 + 21/2*w + 41/4.
(w + 1)*(w + 41)/4
Suppose 0 = 5*t - 15 + 5. Factor -75*n**t + 24*n**5 + 16*n - 81*n**3 - 33*n**4 - 27*n**5 - 40*n.
-3*n*(n + 1)**3*(n + 8)
Let w(v) = -v**2 - v + 3. Let a be w(0). Suppose -p + r + 19 = -a*r, -28 = -4*p + 4*r. Let 14*x - 11*x**3 - 5*x**4 - p - 4*x + 8 + x**3 = 0. What is x?
-1, 1
Let t(w) = 115*w - 455. Let c be t(4). Let a(b) = -b**2 - 3*b + 42. Let h be a(c). Factor 0 + 6/7*p**3 + 0*p**4 - 3/7*p**5 - 3/7*p + 0*p**h.
-3*p*(p - 1)**2*(p + 1)**2/7
Let r(b) be the third derivative of -b**7/15 + 341*b**6/60 + 49*b**5/15 - 605*b**2. Factor r(p).
-2*p**2*(p - 49)*(7*p + 2)
Let r(c) = -c**4 - 26*c**3 - 32*c**2 + 140*c - 78. Let g(m) = 4*m**4 + 130*m**3 + 162*m**2 - 702*m + 392. Let v(b) = -3*g(b) - 14*r(b). Factor v(h).
2*(h - 14)*(h - 1)**2*(h + 3)
Suppose 8*t + 0 - 2110/11*t**3 + 4452/11*t**4 - 18*t**5 - 48/11*t**2 = 0. Calculate t.
-2/11, 0, 1/3, 22
Solve 96*u + 18687*u**2 + 1576*u - 131*u**3 - 18891*u**2 + 4*u**4 - 215 - 29*u**3 - 1097 = 0 for u.
-4, 1, 2, 41
Let j(q) = 10*q + 237. Let i be j(-25). Let r(b) = -3*b**2 - 38*b + 15. Let t be r(i). Determine a, given that -1/3*a**t + 0 - 2/3*a = 0.
-2, 0
Suppose 45*t = 17*t + 30*t. Solve 1/4*j**5 - 1/4*j**3 + 0 - 3/4*j**2 + 3/4*j**4 + t*j = 0.
-3, -1, 0, 1
Let 220/3*h**4 + 1664/3*h - 256 - 752/3*h**2 - 112*h**3 - 28/3*h**5 = 0. What is h?
-2, 6/7, 1, 4
Factor 12*b**4 - 8*b**2 + 14*b**2 - 18*b**2 - 10*b + 8*b**3 + 2*b**5.
2*b*(b - 1)*(b + 1)**2*(b + 5)
Let i(g) be the first derivative of -7/10*g**6 - 6*g + 162/25*g**5 - 33/2*g**4 - 9/10*g**2 - 5 + 76/5*g**3. Solve i(l) = 0 for l.
-2/7, 1, 5
Factor -3/4*n**2 + 0 + 207/2*n.
-3*n*(n - 138)/4
Factor 458*i**2 - 277*i**3 + 55*i - 119*i - 101*i + 20*i**4 - 94 - 89 + 147.
(i - 12)*(i - 1)**2*(20*i + 3)
Determine l so that -l**5 - 20*l - 84*l**3 + 13*l**2 - 5*l**4 + 9*l**5 + 14*l**4 + 11*l**4 + 63*l**2 = 0.
-5, 0, 1/2, 1
Let i(a) be the first derivative of 512*a**4 - 640*a**3 - 63*a**2 - 2*a - 641. Determine v, given that i(v) = 0.
-1/32, 1
Suppose 99 - 115 = -5*o + o. Let a(q) be the second derivative of 3*q**2 - 1/6*q**o - 2/3*q**3 + 0 - 20*q. Suppose a(c) = 0. What is c?
-3, 1
Let j(h) be the third derivative of h**6/120 - 29*h**5/20 + 697*h**4/8 - 15317*h**3/6 + 3211*h**2. Let j(n) = 0. Calculate n.
17, 53
Let c(z) be the first derivative of 0*z - 2/5*z**5 - 10/3*z**3 + 5 - 2*z**4 - 2*z**2. Find f such that c(f) = 0.
-2, -1, 0
Let s = -641 + 608. Let x = -27 - s. Factor -8*w**3 + 0*w + 13/6*w**4 + 0 + x*w**2 - 1/6*w**5.
-w**2*(w - 6)**2*(w - 1)/6
Let h(w) = -w**2 - 12322*w - 7601477. Let p(z) = 15*z**2 + 172510*z + 106420670. Let k(v) = 55*h(v) + 4*p(v). Factor k(j).
5*(j + 1233)**2
Let m be (220/(-88))/(2/(8/(-5))). Factor -15 - 51*r + 3 - 48*r**m - 23325*r**3 + 23316*r**3.
-3*(r + 1)*(r + 4)*(3*r + 1)
Let z(n) = -18*n - 34. Let d be z(-2). Factor 96 - 18*t**2 + 60*t**d - 19*t**2 - 44*t - 19*t**2.
4*(t - 8)*(t - 3)
Suppose 24*d = -6 + 54. Determine f so that -9 - 39*f - d*f**2 - f**2 + 67 - 23 + 7 = 0.
-14, 1
Suppose 160*z - 158*z + 40 = 0. Let n be (-7*60/(-175))/((-18)/z). What is g in 0 + 4/3*g**2 + 2/3*g**5 + n*g**4 + 10/3*g**3 + 0*g = 0?
-2, -1, 0
Let b(r) = -r**2 + 200*r - 3914. Let u be b(22). Factor 1/4*x**u + 2209/4 - 47/2*x.
(x - 47)**2/4
Let z(a) be the third derivative of -5/12*a**4 - 1/60*a**5 + 11/6*a**3 - 25*a**2 + 0*a + 1. Factor z(c).
-(c - 1)*(c + 11)
Let p(h) be the first derivative of -5776*h - 4/3*h**3 + 17 + 152*h**2. Factor p(q).
-4*(q - 38)**2
Let m(k) be the third derivative of k**6/480 + k**5/40 - 5*k**4/12 + k**2 + 3*k - 148. Factor m(y).
y*(y - 4)*(y + 10)/4
Let o(q) be the second derivative of -q**5/15 + 10*q**4/9 - 34*q**3/9 - 56*q**2/3 + 210*q. Solve o(z) = 0.
-1, 4, 7
Let r = -12 - -8. Let l be 36 - (r + 8 - 1). Factor 5*g**3 - 15*g**2 + 23 - l - 15 - 40*g - 5*g.
5*(g - 5)*(g + 1)**2
Let u(g) = -7*g**3 + 18*g**2 + 23*g + 2. Let f(q) = -6736*q - 30*q**2 - 5 + 15*q**3 - 5*q**2 + 6691*q. Let x(z) = 2*f(z) + 5*u(z). What is c in x(c) = 0?
-1, 0, 5
Let u(n) = 2*n - 8. Let i be u(6). Let b = 47 + -34. Factor k**i + k**4 + k**2 - 7*k**3 + b*k**4 + 0*k**4 - 9*k**5.
-k**2*(k - 1)*(3*k - 1)**2
Suppose 0*y = r - 4*y - 30, 3*r - 39 = -5*y. Suppose -19*k + 4 = -r*k. Solve -5*d**3 + 10*d**2 - 5*d**4 + 5*d**k - 5*d**4 = 0 for d.
-2, 0, 1
Let s(p) be the first derivative of 0*p**3 + 10 - 11*p - 1/16*p**4 + 3/8*p**2. Let n(a) be the first derivative of s(a). Factor n(o).
-3*(o - 1)*(o + 1)/4
Let h(c) be the second derivative of 0 - 140*c - 24/7*c**2 + 5/21*c**4 + 8/21*c**3. Suppose h(m) = 0. What is m?
-2, 6/5
Suppose 0*c - c + 7 = 0. Suppose -14 = c*y - 9*y. Solve -y*k**3 - k**3 + 4*k**3 = 0.
0
Let o be -1 - (-20)/(-5)*-1 - (31 - 28). Let y(k) be the first derivative of 2/3*k**3 - 3/4*k**2 - 4 + o*k - 1/8*k**4. Suppose y(z) = 0. What is z?
0, 1, 3
Let t(a) = 29*a**2 + 15150*a + 3825361. Let k(y) = -20*y**2 - 10100*y - 255