et w(v) be the third derivative of h(v). Factor w(z).
z*(z - 2)*(z + 1)**2/3
Let n(w) be the first derivative of -1/28*w**4 + 0*w**2 - 6*w + 10 + 1/21*w**3 + 1/140*w**5. Let k(u) be the first derivative of n(u). Factor k(g).
g*(g - 2)*(g - 1)/7
Let j(f) be the first derivative of f**4/6 + 32*f**3/9 - 17*f**2/3 + 194. Suppose j(d) = 0. Calculate d.
-17, 0, 1
Let z(i) be the first derivative of -10/3*i**4 + 40*i**2 - 48*i - 22 - 52/9*i**3 - 4/15*i**5. Factor z(u).
-4*(u - 1)**2*(u + 6)**2/3
Let p = -5080 - -5084. Find i such that -3/4*i**p + 0*i**3 + 0*i**2 + 0*i - 3/4*i**5 + 0 = 0.
-1, 0
Let a be (4/16*-6)/(1/(-2)). Let 15/4*v**a - 3/2 + 27/4*v**2 - 21/4*v**4 - 15/4*v = 0. What is v?
-1, -2/7, 1
Factor 2/3*j**2 + 13/6*j**3 + 0 + 5/6*j**4 - 2/3*j.
j*(j + 1)*(j + 2)*(5*j - 2)/6
Let z(n) = n**3 + 6*n**2 - 33*n + 43. Let p(f) = f + 1. Let x(i) = 3*p(i) - z(i). Factor x(v).
-(v - 2)**2*(v + 10)
Suppose -d + 2*v - 130 = 0, 3*d - 4*v - 13 = -405. Let i be 2 + ((-2)/(-11) - (-90)/d). Factor -i*n + 1 + 1/2*n**2.
(n - 2)*(n - 1)/2
Let h(c) = 13*c - 5. Let f be h(3). Let b be 3 - 6 - f/(-8)*1. Factor 5/2*s**3 + b*s**5 - 15/4*s**4 + 0*s**2 + 0*s + 0.
5*s**3*(s - 2)*(s - 1)/4
Let f(k) be the second derivative of k**4/4 + 167*k**3 + 83667*k**2/2 - 454*k. Factor f(g).
3*(g + 167)**2
Let i be 26 + (-602)/28 - 1/2. Suppose -14/9*l**i - 32/9*l - 50/9*l**2 - 8/9 - 2/9*l**5 - 38/9*l**3 = 0. What is l?
-2, -1
Let l = 22 + -33. Let g(s) = -10*s**2 + 29*s - 41. Let c(h) = 5*h**2 - 14*h + 21. Let y(u) = l*c(u) - 6*g(u). Find x, given that y(x) = 0.
1, 3
Let m(z) be the first derivative of -2*z**3/3 - 34*z**2 - 66*z - 129. Factor m(h).
-2*(h + 1)*(h + 33)
Factor 6/7*w**2 - 106/7*w - 36/7.
2*(w - 18)*(3*w + 1)/7
Factor 18*n**3 - 15*n**2 - 3009 - 3*n**4 + 3009.
-3*n**2*(n - 5)*(n - 1)
Let a be (-84)/140 - 3/(-5). Let x(v) be the second derivative of -4*v + a*v**2 + 1/42*v**4 - 2/21*v**3 + 0. Factor x(b).
2*b*(b - 2)/7
Let l(y) be the second derivative of y**4/6 - 17*y**3/6 + 35*y**2/2 + 10*y - 3. Factor l(i).
(i - 5)*(2*i - 7)
Let g(p) be the third derivative of 0*p + 0 - 11/18*p**4 - 4/45*p**5 + 19*p**2 + 2/3*p**3. Factor g(o).
-4*(o + 3)*(4*o - 1)/3
Find b such that 0 - 4*b + 22/3*b**2 - 2*b**3 = 0.
0, 2/3, 3
Let c(a) be the third derivative of a**6/30 + 29*a**5/15 - 61*a**4/6 + 62*a**3/3 + 635*a**2. Factor c(x).
4*(x - 1)**2*(x + 31)
Let y be (-6 - (-332)/56)*804. Let o = -57 - y. Find l, given that 0 + o*l**2 + 12/7*l = 0.
-4, 0
Let 2/11*j**2 + 0 - 12/11*j = 0. What is j?
0, 6
Suppose 3*w + 1 = -2*x, -4*w + x - 4*x - 3 = 0. Find v such that -15*v**4 - 15*v**w - 3*v**3 + 8*v**3 = 0.
-2/3, 0
Let v(m) = 3*m**2 + 22*m + 9. Let a be v(-7). Let -f + 1 + 65*f**2 + f**4 - 67*f**a - f**5 + 4*f**3 - 2*f**3 = 0. What is f?
-1, 1
Suppose 4*d = -10 + 22. Let i(k) be the first derivative of -5 - 2/7*k + 1/21*k**d + 1/14*k**2. Let i(l) = 0. What is l?
-2, 1
Let k be (-308)/(-60) + 10/(-75). Factor 8*x**2 - 3*x**3 + k*x - 4*x - 6 + 4*x.
-(x - 3)*(x + 1)*(3*x - 2)
Let n(x) = -8*x**2 - 24*x + 12. Let w(k) = -k**2 - 69*k + 1 - 69*k + 137*k. Let a(c) = -n(c) + 12*w(c). Factor a(m).
-4*m*(m - 3)
Factor -26 - 51/2*t + 1/2*t**2.
(t - 52)*(t + 1)/2
Let o(f) be the first derivative of f**6/210 + 2*f**5/105 - f**4/42 - 4*f**3/21 + f**2/2 + 3. Let q(b) be the second derivative of o(b). Factor q(d).
4*(d - 1)*(d + 1)*(d + 2)/7
Let s(q) be the third derivative of -q**7/105 - 19*q**6/480 - 7*q**5/120 - q**4/32 + 4*q**2 - 14*q. Find v such that s(v) = 0.
-1, -3/8, 0
Let u(y) be the third derivative of 0 - 1/21*y**4 + 1/168*y**8 - 1/20*y**6 - 2/735*y**7 + 2/21*y**5 + 0*y**3 + 28*y**2 + 0*y. Determine v so that u(v) = 0.
-2, 0, 2/7, 1
Let i(t) = -20*t**4 - 28*t**3 - 12*t - 12. Let y(q) = -q**5 + 2*q**4 - q**3 - q - 1. Let r(n) = -i(n) + 12*y(n). Factor r(g).
-4*g**3*(g - 4)*(3*g + 1)
Let u(h) be the second derivative of -2*h**7/21 + 74*h**6/15 - 21*h**5 + 103*h**4/3 - 68*h**3/3 - 169*h. Find j, given that u(j) = 0.
0, 1, 34
Factor 283*c - 237 + 1363*c**3 + 71*c**4 + 3535*c**2 + c**5 + 1393 + 3253*c + 138*c**2.
(c + 1)**3*(c + 34)**2
Let m be 0 + -1 + (-4)/(-1). Suppose m - 11 = -4*x. Let 1/3*u + 2/3 - 5/3*u**4 - 13/3*u**3 - 3*u**x = 0. What is u?
-1, 2/5
Determine y so that 1/3*y**3 + 14*y**2 - 93*y + 144 = 0.
-48, 3
Let y(z) = -8*z**3 + 12*z**2 + 48*z + 60. Let c(n) = -23*n**3 + 33*n**2 + 144*n + 181. Let p(k) = -4*c(k) + 11*y(k). Factor p(h).
4*(h - 4)*(h + 2)**2
Let w = -6 + 189. Let c = 185 - w. Let -3*b**c + 0*b - 1/3*b**4 + 0 - 2*b**3 = 0. What is b?
-3, 0
Let w be 55/25 + (-3)/15. Solve 12*c**2 - 10*c - 2*c**3 - 4*c**w - 3 + 7 = 0 for c.
1, 2
Let t(p) = p**2 - 6*p + 11. Let y be t(7). Let a be 4/10*20/y - 0. Let -a + 4/9*l**2 - 2/9*l**3 + 2/9*l = 0. Calculate l.
-1, 1, 2
Let f(a) be the first derivative of -3*a**4/2 + 46*a**3/9 + 16*a**2 + 32*a/3 - 312. Factor f(t).
-2*(t - 4)*(t + 1)*(9*t + 4)/3
Let o be ((-162)/12)/(2 - -4)*(-8)/6. Suppose -21/5*c**2 - 3/5*c**o - 9*c - 27/5 = 0. Calculate c.
-3, -1
Let d(p) be the first derivative of -2*p**5/35 + p**4/14 - 171. Find m, given that d(m) = 0.
0, 1
Let -47961/2 - 219*h - 1/2*h**2 = 0. Calculate h.
-219
Suppose 115 = 5*v - 65. Factor v*k**4 + 4*k**5 - 30 + 10 + 20.
4*k**4*(k + 9)
Let y(l) be the second derivative of -l**8/2240 + l**6/80 + l**5/20 + 13*l**4/12 - 3*l. Let k(n) be the third derivative of y(n). Suppose k(q) = 0. What is q?
-1, 2
Find r, given that -6/17*r**2 - 28/17 + 46/17*r + 2/17*r**4 - 14/17*r**3 = 0.
-2, 1, 7
Factor 63*b + 135 + 21*b**3 - 3*b**2 + 66*b**3 - 90*b**3.
-3*(b - 5)*(b + 3)**2
Let u(q) be the second derivative of -q**5/110 + 23*q**4/66 + 8*q**3/11 - 2*q - 64. Determine g, given that u(g) = 0.
-1, 0, 24
Let d(x) = -195*x**3 - 3365*x**2 - 2567*x - 517. Let q(j) = -97*j**3 - 1683*j**2 - 1281*j - 259. Let a(v) = -3*d(v) + 5*q(v). Suppose a(c) = 0. What is c?
-16, -2/5
Let p = -389/3 - -1948/15. Let i(x) be the second derivative of 0 + 2/3*x**3 + 4*x - 1/2*x**4 + p*x**6 - 1/10*x**5 + 0*x**2 - 1/21*x**7. Solve i(d) = 0.
-1, 0, 1, 2
Let r be 0 - 3 - -4 - ((-225)/(-15) + -18). What is z in 3*z**3 - 21/4 - 27/2*z**2 + 3/4*z**r + 15*z = 0?
-7, 1
Let b be (490/(-15))/((-50)/45). Factor 0 - b*h**5 - 12/5*h**2 + 0*h - 96/5*h**3 - 231/5*h**4.
-3*h**2*(h + 1)*(7*h + 2)**2/5
Let r = -4 - 1. Let w = 7 + r. Factor 0 - 4 - k + 2 + k**w.
(k - 2)*(k + 1)
Let n = -1 + 1. Suppose -5*w - 6*v + v + 245 = n, -4*v - 126 = -3*w. Factor 23*j**2 - w*j**4 - 14*j**5 - 25*j**2 - 30*j**3 + 8*j**4 + 4*j.
-2*j*(j + 1)**3*(7*j - 2)
Let z = 9 + -6. Suppose -12 = -2*v - 2*g, -g - 5 = -5*v + 1. Factor 2*w**2 - 3*w**3 + z*w**4 + 3 - 3*w**3 - 8*w**v + 3*w**5 + 3*w.
3*(w - 1)**2*(w + 1)**3
Let w(d) be the second derivative of d**6/160 + d**5/120 - d**4/96 + 2*d**2 - 15*d. Let f(t) be the first derivative of w(t). Suppose f(c) = 0. Calculate c.
-1, 0, 1/3
Let g(j) be the third derivative of j**8/168 + 3*j**7/35 - 23*j**6/30 + 37*j**5/15 - 17*j**4/4 + 13*j**3/3 + 5*j**2 + 3. Factor g(f).
2*(f - 1)**4*(f + 13)
Let b(m) = 237*m + m**2 - 257*m + m**2 + 50. Let v(n) = -n**2 + 10*n - 25. Let q(k) = 6*b(k) + 11*v(k). Factor q(p).
(p - 5)**2
Let p(x) be the second derivative of -x**7/63 - x**6/3 - 12*x**5/5 - 6*x**4 + 8*x - 7. Factor p(y).
-2*y**2*(y + 3)*(y + 6)**2/3
Let o = 613 - 613. Factor o*w**2 + 3/4*w**4 - 3/4 - 3/2*w + 3/2*w**3.
3*(w - 1)*(w + 1)**3/4
Let i(j) be the third derivative of -j**8/896 + j**6/80 + j**5/80 - 3*j**4/64 - j**3/8 - 55*j**2. Find u such that i(u) = 0.
-1, 1, 2
Factor 58 - 3*i**2 - 5*i**2 - 60*i + 4*i**2 + 3*i**2 + 3*i**2.
2*(i - 29)*(i - 1)
Let v = 6867 + -6865. Suppose 2/5 - 144/5*q**4 + 61/5*q**v + 21/5*q + 64/5*q**5 - 4/5*q**3 = 0. Calculate q.
-1/4, 1, 2
Let i(g) be the first derivative of 2*g**6/15 + 2*g**5/5 + g**4/3 - 5*g - 6. Let c(m) be the first derivative of i(m). Suppose c(f) = 0. What is f?
-1, 0
Let n(u) = 7*u**3 - 2*u**2 - 7*u + 8. Let y(w) = w**3 - w + 1. Let t(p) = n(p) - 6*y(p). Let t(o) = 0. Calculate o.
-1, 1, 2
Factor 0 + 21/2*j**3 + 11/2*j**2 + 9/2*j**4 + 0*j - 1/2*j**5.
-j**2*(j - 11)*(j + 1)**2/2
Let l(z) be the first derivative of -2/9*z**3 - 18 - 1/2*z**2 + 2/3*z. Determine t, given that l(t) = 0.
-2, 1/2
Let k be -1*((0 - -4) + (-6)/3). Let c(h) = 2*h**2 + 4*h + 2. Let m be c(k). Let 2/7*b**5 + 18/7*b**3 +