i + (2 - -2)). Determine n so that 0*n - 1/5 - w*n**4 + 0*n**3 + 2/5*n**2 = 0.
-1, 1
Let w(a) be the third derivative of a**5/20 - 9*a**4/4 + 81*a**3/2 + 198*a**2. Factor w(r).
3*(r - 9)**2
Let x(n) = 3*n**5 + 21*n**4 + 24*n**3 - 138*n**2 + 183*n - 69. Let s(l) = -l**5 - l**3 - 2*l**2 - l + 1. Let z(r) = 6*s(r) + x(r). Determine g so that z(g) = 0.
-3, 1, 7
Let p(s) be the second derivative of s**8/8960 - s**7/336 + s**6/30 - s**5/5 - 29*s**4/12 + 18*s. Let n(k) be the third derivative of p(k). Factor n(o).
3*(o - 4)**2*(o - 2)/4
Let h(u) = 7*u**2 + 7*u - 5. Let b(z) = 20*z**2 + 20*z - 14. Let a(v) = -6*b(v) + 17*h(v). Let g(d) = 7 + 3*d - 3 + 2. Let q(w) = -3*a(w) - g(w). Factor q(c).
3*(c - 1)*(c + 1)
Suppose -3*a = -0*a - 3. Let j = 73 + -71. Determine f, given that -18*f**3 - a - 6*f + 17*f**3 - 3*f**j + 3*f = 0.
-1
Let m(y) be the second derivative of y**5/24 - 35*y**4/36 + 245*y**3/36 - 19*y + 1. Determine k so that m(k) = 0.
0, 7
Let v(t) be the first derivative of 3*t**2 - 1/300*t**5 - 1/120*t**4 + 6 + 0*t**3 + 0*t. Let y(r) be the second derivative of v(r). Factor y(w).
-w*(w + 1)/5
Let q(o) be the first derivative of -14 - 357/8*o**4 - 12*o - 59*o**2 + 343/12*o**6 - 353/3*o**3 + 98*o**5. Suppose q(b) = 0. What is b?
-3, -2/7, 1
Let w(p) be the first derivative of p**4/24 - p**3/30 + 7*p - 21. Let u(d) be the first derivative of w(d). Factor u(l).
l*(5*l - 2)/10
Let j(x) be the second derivative of -5*x**4/12 + 15*x**3/2 - 20*x**2 + 103*x. Factor j(f).
-5*(f - 8)*(f - 1)
Let u(o) be the third derivative of -o**8/1008 - o**7/126 + 13*o**6/360 - 7*o**5/180 - 279*o**2. Suppose u(k) = 0. Calculate k.
-7, 0, 1
Factor -1/3*n**2 + 8/3*n + 4 - 1/3*n**3.
-(n - 3)*(n + 2)**2/3
Let f(z) be the third derivative of -2*z**2 + 0*z**3 + 2/5*z**5 + 7/10*z**6 + 0*z + 3/7*z**7 + 9/112*z**8 + 0*z**4 + 0. Suppose f(l) = 0. Calculate l.
-2, -2/3, 0
Factor 0 + 5/2*i**2 + 1/2*i**3 + 0*i.
i**2*(i + 5)/2
Let a(l) be the third derivative of l**5/4 - 19*l**4/84 - l**3/14 + 43*l**2 - 4*l. Find w such that a(w) = 0.
-1/15, 3/7
Let d(f) = 5*f**5 + f**4 + 3*f**3 - 5*f**2 + 4. Let c(u) = u**5 + u**4 - u**2 + 1. Let y(g) = -4*c(g) + d(g). Determine z so that y(z) = 0.
0, 1
Let h(j) be the first derivative of j**6/3 - 13*j**4/2 - 8*j**3 + 136. What is m in h(m) = 0?
-3, -1, 0, 4
Let z(g) be the second derivative of -15*g**6/8 - 3*g**5/2 - g**4/2 + 15*g**3/2 - 23*g. Let h(c) be the second derivative of z(c). Factor h(m).
-3*(15*m + 2)**2
Suppose 3 = d + y, 2*d + 5*y - 4*y = 5. Find o such that -o**2 + 3 + d*o**2 - 4*o + 4 - 4 = 0.
1, 3
Let x(a) = 6*a**2 - 584*a + 585. Let j(v) = -2*v**2 + 194*v - 194. Let q(g) = 14*j(g) + 4*x(g). Factor q(s).
-4*(s - 94)*(s - 1)
Let x(o) be the second derivative of 2*o**7/147 + 16*o**6/105 + 5*o**5/7 + 38*o**4/21 + 8*o**3/3 + 16*o**2/7 + 65*o + 1. Factor x(u).
4*(u + 1)**2*(u + 2)**3/7
Let m(q) = -q**3 - 9*q**2 - 12*q + 10. Let v(y) = -1. Let o(i) = m(i) - 4*v(i). Let h be o(-7). Find t, given that 0*t**2 + h - 2/3*t**3 + 1/3*t**4 + 0*t = 0.
0, 2
Let p(d) = 2*d**2 - 21*d - 65. Let n be p(13). Let h(x) be the second derivative of 1/2*x**2 - 1/24*x**4 + n - 10*x - 1/12*x**3. Factor h(y).
-(y - 1)*(y + 2)/2
Let b(o) be the second derivative of 5*o**7/126 + 4*o**6/9 + o**5/2 - 50*o**4/9 + 125*o**3/18 - 2*o + 11. Factor b(f).
5*f*(f - 1)**2*(f + 5)**2/3
Let r(y) be the second derivative of y**7/63 - 8*y**6/45 + y**5/2 + 4*y**4/9 - 16*y**3/9 + 3*y + 11. Determine l, given that r(l) = 0.
-1, 0, 1, 4
Let w(a) = a**3 + 64*a**2 + 59*a - 250. Let h be w(-63). Factor -26/11*k**4 - 10/11*k**5 - 18/11*k**3 + 0 + 4/11*k + 2/11*k**h.
-2*k*(k + 1)**3*(5*k - 2)/11
Let b(n) be the third derivative of -n**7/70 - 7*n**6/40 - 17*n**5/20 - 17*n**4/8 - 3*n**3 + 2*n**2 + 8*n. What is k in b(k) = 0?
-3, -2, -1
Let y(k) be the third derivative of 931*k**6/120 - 217*k**5/30 + 5*k**4/6 + 4*k**3/3 + 384*k**2. Factor y(g).
(7*g - 2)**2*(19*g + 2)
Suppose 4*s = -0*s + 60. Let t = -10 + s. Factor 1 + 2*c**4 - 6*c + 8*c**3 + 2*c**2 - t - 2*c**3.
2*(c - 1)*(c + 1)**2*(c + 2)
Let b(y) = -8*y**2 - 23*y - 20. Let o(p) be the third derivative of -11*p**5/12 - 20*p**4/3 - 70*p**3/3 + 19*p**2. Let v(z) = -20*b(z) + 3*o(z). Solve v(m) = 0.
-2
Let s(w) be the third derivative of w**7/2240 - w**6/320 + w**5/160 - 5*w**3/3 - 5*w**2. Let t(u) be the first derivative of s(u). Factor t(q).
3*q*(q - 2)*(q - 1)/8
Let c = -39523/15 - -2635. Let i(p) be the first derivative of 0*p - c*p**6 + 0*p**4 + 8 - 8/15*p**3 + 8/25*p**5 + 2/5*p**2. Factor i(x).
-4*x*(x - 1)**3*(x + 1)/5
Determine g, given that 72 + 282*g**2 - 762796*g**4 + 167*g + 762811*g**4 + 111*g**3 + 109*g = 0.
-3, -2, -2/5
Let b(j) be the second derivative of -8*j**6/5 + 6*j**5/5 + 15*j**4/4 - 9*j**3/2 - 3*j - 17. Factor b(y).
-3*y*(y + 1)*(4*y - 3)**2
Let b(m) = -m**3 - 3*m**2 - 2*m + 2. Let p be b(-2). Factor 2*x + 299 - 302 - x**2 + p*x.
-(x - 3)*(x - 1)
Let k(l) be the third derivative of l**5/570 + 28*l**4/57 + 3136*l**3/57 - 2*l**2 + 23. Find p such that k(p) = 0.
-56
Let f(v) = -7*v**2 + 18*v - 35. Let c(o) = -3*o**2 + 9*o - 18. Let b(d) = 9*c(d) - 4*f(d). Factor b(h).
(h - 2)*(h + 11)
Find w, given that -2*w + 6*w**3 - 6*w - 49*w**4 + 0*w + 15*w**2 - 10*w + 46*w**4 = 0.
-2, 0, 1, 3
Let q(s) = 2*s**4 + s**3 - s**2 + 2*s - 1. Let a(d) = 11*d**4 - 7*d**3 - 61*d**2 - 63*d - 6. Let v(w) = -a(w) + 6*q(w). Solve v(c) = 0.
-5, -3, 0
Let b(n) = 3*n**3 + n**2 - 6*n + 4. Let s be (3 - 4)/(-1)*(-1)/(-1). Let y be b(s). Solve 2*v**3 - 2/3*v**4 + 0 - y*v**2 + 2/3*v = 0 for v.
0, 1
Let g(l) be the third derivative of -l**9/3780 - l**8/1680 - l**4/2 - 3*l**2. Let b(r) be the second derivative of g(r). Suppose b(h) = 0. Calculate h.
-1, 0
Let h = -16 - -18. What is x in -7*x**2 + 2*x + 5*x**2 + x**h + 3 = 0?
-1, 3
Let i = 110 + -106. Suppose -61*m**4 + 3*m**3 + 2*m**2 + 30*m**4 + 29*m**i - m**3 - 2*m**5 = 0. What is m?
-1, 0, 1
Let d(m) be the first derivative of 2*m**2 - 5*m + 1/3*m**3 + 18. Let d(k) = 0. What is k?
-5, 1
Let m be 0 - (102/(-900))/17. Let j(p) be the third derivative of 1/300*p**6 - 2*p**2 + 0*p + 0 - 1/15*p**4 - 4/15*p**3 + m*p**5. Let j(l) = 0. What is l?
-2, -1, 2
Let p = 97 + -94. Let q be p/(-2)*((-16)/2 - -6). Suppose -4/5*x - 4/5*x**4 + 4/5*x**q + 12/5*x**2 - 8/5 = 0. What is x?
-1, 1, 2
Suppose 3*q = 23*q. Let w(a) be the third derivative of 0*a - 6*a**2 - 1/20*a**5 + q*a**4 + 0 + 0*a**3. Determine i so that w(i) = 0.
0
Let o be (8/15)/(12 - 504/45). Factor -1/3*n**3 + 0 - 2/3*n**2 + o*n**4 + 0*n + 1/3*n**5.
n**2*(n - 1)*(n + 1)*(n + 2)/3
Let q(c) be the third derivative of -1/350*c**7 - 3/80*c**4 + 1/300*c**5 - 21*c**2 + 1/3360*c**8 + 1/150*c**6 + 0*c + 1/15*c**3 + 0. Factor q(w).
(w - 4)*(w - 1)**3*(w + 1)/10
Let p(b) = -22*b**3 + 11*b**2 - 16*b - 9. Let t(v) = 5*v**3 - 3*v**2 + 4*v + 2. Let o(j) = 4*p(j) + 18*t(j). Suppose o(d) = 0. What is d?
0, 1, 4
Let b(w) be the second derivative of -w**6/660 + w**4/132 + 21*w**2/2 + 11*w. Let f(l) be the first derivative of b(l). Find k, given that f(k) = 0.
-1, 0, 1
Solve -v**4 + 23*v**3 + 8*v**2 + 14*v**3 - 12*v - 32*v**3 = 0 for v.
-2, 0, 1, 6
Let k(j) be the first derivative of -8*j**5/5 - 5*j**4/6 + 65*j**3/9 - 25*j**2/6 - 2*j - 121. Let k(t) = 0. Calculate t.
-2, -1/6, 3/4, 1
Let b be (-28)/(-6) - 2/3. Factor 12 - 9*m + m + 0 + 0 - b*m**2.
-4*(m - 1)*(m + 3)
Suppose -14*r = -15*r + 2*c + 16, 3*c = 2*r - 26. Factor 0*s + 1/2*s**5 + 2*s**r + 0*s**2 + 2*s**3 + 0.
s**3*(s + 2)**2/2
Let i(x) be the third derivative of -x**6/120 - 3*x**5/40 - x**4/4 - 5*x**3/6 + 2*x**2. Let v(r) be the first derivative of i(r). Determine f so that v(f) = 0.
-2, -1
Let j(y) be the third derivative of y**8/6720 - y**6/360 + 11*y**3/6 + 3*y**2. Let w(t) be the first derivative of j(t). Factor w(i).
i**2*(i - 2)*(i + 2)/4
Suppose -3*k - 26 + 32 = 0. Factor -20*b - 20*b**3 + 5 + 32*b**4 - 8*b**2 - 27*b**4 + 38*b**k.
5*(b - 1)**4
Let m(b) be the first derivative of 10*b**3/3 + 32*b**2 + 24*b - 101. Suppose m(q) = 0. Calculate q.
-6, -2/5
Let t(n) be the first derivative of -2*n**3/9 - 44*n**2/3 - 968*n/3 - 39. Factor t(y).
-2*(y + 22)**2/3
Let n(f) be the third derivative of -4*f**7/35 - 31*f**6/60 + 7*f**5/10 + 19*f**4/12 + f**3 + 2*f**2 - 63. Solve n(q) = 0.
-3, -1/3, -1/4, 1
Let b 