derivative of s**7/210 + s**6/90 - s**5/30 - 7*s**4/8 + 20*s**2. Let p(q) be the second derivative of o(q). Solve p(f) = 0 for f.
-1, 1/3
Let z(m) = 4*m**2 + 2*m + 128. Let s(l) = -3*l**2 - l. Let t(b) = -4*s(b) - 2*z(b). Factor t(d).
4*(d - 8)*(d + 8)
Determine n so that -172*n**4 + 176*n**4 + 96*n**3 - 116*n**2 + 16*n**2 = 0.
-25, 0, 1
Let d(y) = -4*y**2 - 3*y. Let q(r) = -6*r**2 + 8*r - 14. Let j(b) = -2*b**2 + 3*b - 5. Let f(p) = 14*j(p) - 5*q(p). Let o(c) = -6*d(c) - 11*f(c). Factor o(z).
2*z*(z - 2)
Factor 16 + 128*r**4 - 112*r**4 - 12*r**2 + 43*r**3 + r**3 - 64*r.
4*(r - 1)*(r + 2)**2*(4*r - 1)
Let v = -45 - -49. Factor 270 + 3*o**2 + 4*o**2 - v*o**2 - 48*o - 78.
3*(o - 8)**2
Let t be 56/40 + 2/(-5). Suppose -o = -t - 9. Let 2*g**3 + 2*g**5 - 4*g**5 - o*g**2 - 2*g**4 + 12*g**2 = 0. Calculate g.
-1, 0, 1
Let s(g) be the first derivative of g**4/42 + 5*g**3/21 + 4*g**2/7 - 2*g - 11. Let r(p) be the first derivative of s(p). Factor r(l).
2*(l + 1)*(l + 4)/7
Suppose 2*h + 5 = 11. Determine j so that -2*j**2 - h*j**2 + 1 + 4*j**2 = 0.
-1, 1
Find b such that -16*b**2 - 52/3 - 2/3*b**3 + 34*b = 0.
-26, 1
Suppose 29 - 3 = 2*n - 4*a, a - 10 = -5*n. Suppose t**n + 0 + 1/3*t**2 + 0*t + t**4 + 1/3*t**5 = 0. Calculate t.
-1, 0
Let q = 715366/13 - 55257. Let t = q + 229. Factor -6/13*w**2 + 2/13*w**3 + 6/13*w - t.
2*(w - 1)**3/13
Find o, given that 2*o**2 - 12*o + 13*o**2 - 160*o + 56 - 3*o**2 = 0.
1/3, 14
Suppose -17*a + 26*a - 36 = 0. Let y(z) be the third derivative of 0*z + 8*z**2 + 0 + 1/240*z**6 + 1/24*z**a - 1/40*z**5 + 0*z**3. Factor y(r).
r*(r - 2)*(r - 1)/2
Let g(q) = 640*q**3 + 102*q**2 - 6*q - 7. Let b(a) = 1280*a**3 + 203*a**2 - 12*a - 13. Let j(l) = 6*b(l) - 11*g(l). Factor j(x).
(8*x + 1)**2*(10*x - 1)
Let v(x) = x**2 - 8*x + 15. Let c be v(6). Let o(p) be the first derivative of 9*p**2 + 61*p + p**3 + 4 - 13*p + c*p**2. Suppose o(j) = 0. What is j?
-4
Factor 25/3 + 5/3*w**2 + 10*w.
5*(w + 1)*(w + 5)/3
Let l(i) = 9*i - 27. Let k be l(3). Let t(h) be the third derivative of -1/9*h**4 + 4/9*h**3 - 6*h**2 + 1/90*h**5 + k*h + 0. Suppose t(c) = 0. What is c?
2
Suppose 0 = -6*z + 280 - 10. Let o = z + -87/2. Factor 0 - o*r - 9/4*r**2.
-3*r*(3*r + 2)/4
Suppose 0 = -4*h, -h - 4*h - 12 = 2*v. Let s be 1 - 3 - (v + 12 + -10). Let -3/4*a**s + a**4 + 0*a**3 + 1/4*a + 0 = 0. What is a?
-1, 0, 1/2
Let y(j) be the second derivative of -45*j**7/14 - 37*j**6/2 - 73*j**5/4 + 335*j**4/12 + 110*j**3/3 - 30*j**2 - 26*j + 5. Solve y(a) = 0 for a.
-3, -1, 2/9, 2/3
Solve 10 + 1 - 287*h**4 + 290*h**4 - 9*h**3 + 7 - 9*h**2 + 21*h = 0 for h.
-1, 2, 3
Let d(n) = -41 - 39 + 79 + 10*n - n**3. Let h be d(3). Factor -1/2*i - 1 + 3/2*i**h.
(i - 1)*(3*i + 2)/2
Let -24190 - 6316*o**3 - 4*o**5 + 59220*o**2 + 81557 - 11798 + 102607 + 268*o**4 - 169344*o = 0. Calculate o.
2, 21
Let j(d) be the first derivative of 0*d + 4/55*d**5 + 0*d**4 + 1/33*d**6 - 1/11*d**2 - 4/33*d**3 + 2. Factor j(v).
2*v*(v - 1)*(v + 1)**3/11
Suppose -4 = -19*l + 17*l. Let x(d) = 2*d**2 - 4*d + 2. Let g be x(l). Factor -6*y**4 - 17*y**5 + 3*y**3 + 15*y**5 - 2*y**g - 9*y**3.
-2*y**2*(y + 1)**3
Let p be (2 - 267/12)*(-176)/(-66). Let i = 56 + p. Factor -5/2*g + 2*g**i + 1 - 1/2*g**3.
-(g - 2)*(g - 1)**2/2
Suppose -552 + 1453 = 437*g - 847. Factor 32/7 + 2/7*w**g - 64/7*w - 16/7*w**3 + 48/7*w**2.
2*(w - 2)**4/7
Let q = 54545/2 + -27272. Suppose -q*g**2 - 8*g - 32 = 0. What is g?
-8
Let i be (-70)/(-15) + -6 + (-20)/(-6). Let z(x) be the first derivative of 0*x**i + 7/18*x**4 - 8 - 4/27*x**3 + 0*x. Factor z(v).
2*v**2*(7*v - 2)/9
Let g = -200 - -200. Let s(v) be the second derivative of -1/50*v**5 + g - 1/15*v**3 - 5*v - 1/5*v**4 + 2/75*v**6 + 2/5*v**2. Determine d so that s(d) = 0.
-1, 1/2, 2
Let n(m) be the third derivative of 7/24*m**5 + 0 - 14*m**2 + 0*m + 0*m**3 + 1/48*m**6 + 5/8*m**4. Factor n(u).
5*u*(u + 1)*(u + 6)/2
Factor 4/7*c - 8/7 + 12/7*c**2.
4*(c + 1)*(3*c - 2)/7
Let q(g) be the second derivative of -1/6*g**4 + 0 + 2*g + 0*g**3 + g**2. Factor q(o).
-2*(o - 1)*(o + 1)
Let r = 20 - 29. Let q(w) = w**2 + 10*w + 9. Let p be q(r). Factor 8/5*a**2 + p + 4/5*a + 4/5*a**3.
4*a*(a + 1)**2/5
Let c(p) = p**2 + 15*p - 16. Let t be c(-13). Let r be (18/t)/(36/(-42)). Determine j, given that 0 + 0*j + 1/2*j**5 + 1/2*j**4 - 1/2*j**3 - r*j**2 = 0.
-1, 0, 1
Find r such that -2/19*r**2 + 192/19*r - 4608/19 = 0.
48
Suppose 3*l = j + 2, 7*j + 20 = 2*l + 11*j. Factor -2/17*a**3 - 16/17*a - 8/17 - 10/17*a**l.
-2*(a + 1)*(a + 2)**2/17
Find w such that 9*w**3 + 5*w**4 - 2*w**4 + 5 + 49 - 21*w**2 - 45*w = 0.
-3, 1, 2
Let k be (10/28*-8)/((-20)/70). What is v in -12*v**3 - 8*v - 2*v**2 + 18*v**3 - 10*v**2 - k*v**3 = 0?
-2, -1, 0
Let b = -5711/56 - -102. Let i(n) be the third derivative of 1/7*n**3 - 3*n**2 + b*n**4 + 0 + 0*n - 1/140*n**5. Solve i(v) = 0.
-1, 2
Let z be (-4)/(-3) - (50/15 + -4). Let h be ((-4)/130)/(z/(-10)). Factor 4/13*t**2 + 2/13*t**3 + h*t + 0.
2*t*(t + 1)**2/13
Let x be 1/(-14)*(-350)/100. Solve -1/4*i**2 + 0 + x*i**3 - 1/2*i = 0.
-1, 0, 2
Let r(j) = 8*j**2 + 143*j - 79. Let d(x) = -x**2 - 6*x - 1. Let f(a) = 18*d(a) + 2*r(a). Factor f(q).
-2*(q - 88)*(q - 1)
Let j be (120/(-16) - 0) + 10. Let k(q) be the second derivative of -5/12*q**4 + 0 - 13*q - j*q**3 + 0*q**2. Suppose k(g) = 0. Calculate g.
-3, 0
Let z(u) = 0 + 11*u + 2*u**2 + u**3 - 12*u - 4 + 1. Let x be z(3). Suppose -43*v + 4*v**3 + 3 + x*v + 2*v**4 - 4*v**4 - 1 = 0. What is v?
-1, 1
Let x(w) = -7*w**2 - 192*w - 79. Let v be x(-27). Factor -1/2*n**3 - 1/4*n**4 + 0 - 1/4*n**v + 0*n.
-n**2*(n + 1)**2/4
Suppose w + 3 = -p, -w - 3 = 13*p - 15*p. Let i(z) be the second derivative of 0 - 1/12*z**3 + 1/40*z**5 + 0*z**4 - 3*z + p*z**2. Solve i(k) = 0 for k.
-1, 0, 1
Let n(j) be the first derivative of -17/2*j**3 - 21/2*j**2 + 15/8*j**4 + 12*j + 23. Factor n(q).
3*(q - 4)*(q + 1)*(5*q - 2)/2
Let p(i) = -3*i - 40. Let y be p(-16). Factor y*t**2 + 3*t - 13 - 4*t**3 - t + 2*t + 5.
-4*(t - 2)*(t - 1)*(t + 1)
Suppose 77*i + 38720 + 5*i**2 + 739*i + 64*i = 0. Calculate i.
-88
Let j(x) = 23*x**2 + 47*x. Let c(u) = 4*u**2 + u. Let q(w) = 5*c(w) - j(w). Determine t so that q(t) = 0.
-14, 0
Determine q, given that 3/7*q**2 + 81/7*q + 78/7 = 0.
-26, -1
Let u(v) be the second derivative of -v**7/14 - 4*v**6/5 - 18*v**5/5 - 17*v**4/2 - 23*v**3/2 - 9*v**2 + 13*v. Suppose u(j) = 0. Calculate j.
-3, -2, -1
What is k in 1/4*k**4 + 19/4*k**2 - 5 - 9/4*k**3 + 9/4*k = 0?
-1, 1, 4, 5
Determine g so that -29*g + 7*g + 12*g**3 + 38*g**4 - 256 + 262 + 10*g**5 - 44*g**2 = 0.
-3, -1, 1/5, 1
Suppose -5*o = -4*w + 512, 409 = o - 5*o + 3*w. Let k be (0 - 40)/(-2)*(-16)/o. Factor k - 4*c + 4/5*c**2.
4*(c - 4)*(c - 1)/5
Suppose -8*y + 3*q - 37 = -13*y, 2*y - 6 = q. Let z(p) be the second derivative of 1/3*p**3 + 1/10*p**4 + y*p + 0 - 9/50*p**5 + 1/5*p**2. Factor z(c).
-2*(c - 1)*(3*c + 1)**2/5
Factor 0*h**2 - 3*h**3 - 1/2*h**4 + 0*h + 0.
-h**3*(h + 6)/2
Factor 26*b + 2*b - 3*b**2 - 35 - 30 + 17 - b**2.
-4*(b - 4)*(b - 3)
Factor -243*w**4 - 23*w**3 + 186*w**2 + 8*w**3 + 81*w**5 - 39*w**3 - 56*w - 19*w + 9.
3*(w - 3)*(w + 1)*(3*w - 1)**3
Let a(o) be the first derivative of 1/96*o**4 + 0*o + o**2 + 0*o**3 + 1/480*o**6 - 1/120*o**5 + 4. Let w(n) be the second derivative of a(n). Factor w(c).
c*(c - 1)**2/4
Let f be (140/490)/(6/28). Let t(s) be the first derivative of -6 - 36*s - f*s**3 + 12*s**2. Factor t(b).
-4*(b - 3)**2
Let k = -3/332 - 559/11620. Let p = 12/35 - k. What is b in -p*b**2 - 2/5*b + 0 = 0?
-1, 0
Let u(n) be the second derivative of n**6/1140 - n**5/285 + n**4/228 + n**2/2 - 5*n. Let q(c) be the first derivative of u(c). Factor q(f).
2*f*(f - 1)**2/19
Suppose 0 = 29*u - 21*u - 16. Suppose -4*c = -3*k - 14, -2*c + 0*k - 2*k = 0. Factor 12*h**u - 21*h + h**2 + c*h**2 - 6 + 12*h**3.
3*(h - 1)*(h + 2)*(4*h + 1)
Suppose 45 = 2*v + 17. Let c be (-14)/(-21) - v/(-6). Find d, given that -d - d + 4*d - 2*d**2 - d**4 - 2*d**c + 3*d**4 = 0.
-1, 0, 1
Let o(i) be the second derivative of 3*i**5/20 - 7*i**4/36 - 10*i**3/9 - 2*i**2/3 - i + 2. Let o(q) = 0. Calculate q.
-1, -2/9, 2
Suppose -2 - 6 = -4*z, 0 = -2*h - 4*z - 428. Let x be 44/(-154) + h/(-28). What is k in x*k - 3 + 6*k**4 - 3/2*k**5 - 6*k**3 - 3*k**2 = 0?
-1, 1, 2
Let a(j) = 9*j**2 - 3*j - 37. Let g(t) = -4*