+ 1/9*i**3 - 1/9*i**2 + 1/90*i**5. Factor v(b).
2*(b - 1)**3/9
Let y(a) = 2*a**2 - 19*a - 3. Let z(v) = 3*v**2 - 34*v - 7. Let n(k) = 5*y(k) - 3*z(k). Factor n(i).
(i + 1)*(i + 6)
Suppose 17*m + 25 = 76. Let d(c) be the third derivative of -6*c**2 + 0*c + 3/8*c**4 - 1/12*c**5 + 1/3*c**m + 0. Determine v, given that d(v) = 0.
-1/5, 2
Let f(g) = -2*g**5 - 14*g**4 + 3*g**3 + 3*g - 12. Let a(l) = 2*l**5 + 14*l**4 - 2*l**3 - 2*l + 8. Let z(s) = 3*a(s) + 2*f(s). Factor z(m).
2*m**4*(m + 7)
Suppose 4*a - a - 12 = 0. Factor -j**2 + a*j - j**2 - j**2 + j + 2.
-(j - 2)*(3*j + 1)
Factor 43/5*b**2 + 7/5*b + 0 + 6/5*b**3.
b*(b + 7)*(6*b + 1)/5
Suppose -4 = -59*k + 57*k. Factor -16 + 9*v**2 - 4*v + 0*v**2 + 3*v**k.
4*(v + 1)*(3*v - 4)
Let v(l) be the first derivative of -1/7*l**2 + 1/3*l**3 + 3/14*l**4 - 2/21*l**6 - 11 + 0*l - 1/5*l**5. Find s such that v(s) = 0.
-2, -1, 0, 1/4, 1
Let c = 3 + -1. Suppose 16*l = 19*l - 27. Factor -2*d**c - 4*d**2 + l - 6 - 3*d.
-3*(d + 1)*(2*d - 1)
Let p(t) be the second derivative of -16/3*t**3 + 8*t**2 - 36*t - 1/5*t**5 + 5/3*t**4 + 0. Factor p(s).
-4*(s - 2)**2*(s - 1)
Let l = -144 + 144. Let k(w) be the third derivative of 1/90*w**5 + 1/360*w**6 + 0 + 0*w + 2*w**2 + l*w**3 + 1/72*w**4. Suppose k(u) = 0. What is u?
-1, 0
Let t(o) be the second derivative of o**4/4 + 55*o**3/2 + 51*o. Solve t(q) = 0.
-55, 0
Let j = 2612 + -2606. Let k(v) be the second derivative of 1/14*v**7 + 0*v**2 + 1/10*v**j + 0 - 3/20*v**5 - 7*v + 0*v**3 - 1/4*v**4. Find l such that k(l) = 0.
-1, 0, 1
Factor -24/5 + 4*l - 12/5*l**3 + 32/5*l**2.
-4*(l - 3)*(l + 1)*(3*l - 2)/5
Let j be (-6)/(-58)*6/(-9). Let o = 64/87 + j. Find p, given that -2/3*p**3 + o*p**2 + 4/3*p + 0 = 0.
-1, 0, 2
Let o(n) be the first derivative of -2*n**5/5 + 4*n**4 - 18*n**3 + 29*n**2 - 38*n + 16. Let u(i) = -i**2 - i - 1. Let v(g) = -o(g) + 6*u(g). Factor v(d).
2*(d - 2)**4
Let j(w) be the third derivative of -w**6/300 - 2*w**5/75 - w**4/60 + 2*w**3/5 - w**2 + 248*w. Factor j(s).
-2*(s - 1)*(s + 2)*(s + 3)/5
Let q(z) be the first derivative of 2*z**3/15 + 2*z**2/5 - 16*z/5 - 337. Factor q(c).
2*(c - 2)*(c + 4)/5
Let q = 34 + -33. What is w in -2*w**3 + 3*w**5 - w**5 + 3*w**4 - 84*w**2 + 80*w**2 + q = 0?
-1, 1/2, 1
Let g(m) be the first derivative of -m**4/30 + 2*m**3/15 + 6*m**2/5 + 95. Solve g(b) = 0.
-3, 0, 6
Let n = -8 - -16. Let g(s) = s. Let t be g(3). Let -p**4 + 8*p**2 + 2*p - 2*p**4 + n*p**4 + 10*p**t - p**4 = 0. Calculate p.
-1, -1/2, 0
Let i be (-55)/(-3) - (-18)/(-9). Let o(g) be the first derivative of 14*g**2 + 4*g + i*g**3 + 1. Find p such that o(p) = 0.
-2/7
Let y(z) be the third derivative of -2/105*z**7 - 19*z**2 - 5/3*z**5 + 0 + 0*z**3 + 0*z + 0*z**4 - 1/3*z**6. Determine t so that y(t) = 0.
-5, 0
Let d = 1/25 - -1/100. Let j(t) be the second derivative of 0 - d*t**4 - 1/10*t**3 + 3/100*t**5 - 6*t + 0*t**2 + 1/50*t**6. Determine q, given that j(q) = 0.
-1, 0, 1
Let a(f) be the first derivative of -f**6/180 - f**5/10 - 3*f**4/4 + 2*f**3 - 12. Let n(j) be the third derivative of a(j). Suppose n(p) = 0. What is p?
-3
Let -328*l**2 + 332*l**2 - 85*l**3 + 16*l + 83*l**3 = 0. Calculate l.
-2, 0, 4
Let l be (-108)/(-36) + ((-2)/12 - (-56)/(-21)). Factor -l*q**4 + 0*q**2 - 2/3*q + 0 + 1/2*q**3.
-q*(q - 2)**2*(q + 1)/6
Let o(k) be the first derivative of -2*k - 11*k**3 - 7*k - 64 + 33 - 21*k**2. Factor o(j).
-3*(j + 1)*(11*j + 3)
Factor -2/7*g**2 - 4050/7 - 180/7*g.
-2*(g + 45)**2/7
Let l(y) = -15*y + 363. Let k be l(24). Let t(j) be the first derivative of -1 - 16/5*j - 1/15*j**k + 4/5*j**2. Factor t(p).
-(p - 4)**2/5
Let a(m) = -m**3 - 31*m**2 + 122*m - 116. Let j(y) = -y**3 + y**2 + y. Let x(l) = -2*a(l) + 4*j(l). Factor x(b).
-2*(b - 29)*(b - 2)**2
Factor -58*k - 665 - 62*k - 1135 - 2*k**2 + 0*k**2.
-2*(k + 30)**2
Let o(t) = -t**3 + 14*t**2 + t - 7. Let z be o(14). Suppose -w - 1 = 3*c, -z = -4*w + c - 2*c. Factor -2/11*x**5 + 0*x + 0*x**4 + 0 + 2/11*x**3 + 0*x**w.
-2*x**3*(x - 1)*(x + 1)/11
Let u(c) = 5*c**4 + 4*c**3 - 3*c**2 - 19*c - 5. Let f(n) = 4*n**4 + 4*n**3 - 4*n**2 - 18*n - 6. Let m(a) = 3*f(a) - 2*u(a). Factor m(x).
2*(x - 2)*(x + 1)**2*(x + 2)
Let a(b) = b**2 - 23*b - 48. Suppose -o + 28 - 3 = 0. Let y be a(o). Let 16 - 1/4*j**3 - 12*j + 3*j**y = 0. What is j?
4
Let q(a) = -3*a**3 + 46*a**2 - 13*a - 26. Let v be q(15). Let -2/13*n - 4/13 + 2/13*n**3 - 2/13*n**v + 6/13*n**2 = 0. What is n?
-1, 1, 2
Let h(c) = -2*c + 13. Let q be h(8). Let x(d) = d**2 - 17*d - 15. Let j(k) = -18*k - 16. Let n(p) = q*j(p) + 2*x(p). Factor n(b).
2*(b + 1)*(b + 9)
Solve -37*i**2 - 31*i**2 - 2 + 4*i**4 - 17*i**2 + 70*i**2 - 5*i**3 + 20*i - 2 = 0 for i.
-2, 1/4, 1, 2
Let t be (-64)/80 - (-1 - 68/10). Let 11*z**2 - t*z**2 - 4*z**4 + 8*z**3 - 4*z**2 = 0. Calculate z.
0, 2
Let v = -4902 - -4905. Factor -2/17*r**v - 22/17*r + 12/17 + 12/17*r**2.
-2*(r - 3)*(r - 2)*(r - 1)/17
Suppose 8 = 4*t + 12. Let v = t - -3. Factor 2*b**v + 2 - 10*b + 1 + 0*b + b**2.
(b - 3)*(3*b - 1)
Let i = 44 + -42. Factor 3 + 2 - 1 - 5*d + d**i.
(d - 4)*(d - 1)
Suppose -3*t - 5 = -5*o - 10, -4*o = 5*t - 33. Let h(i) be the first derivative of 0*i + 1/8*i**4 - 5 - 1/10*i**t - 1/4*i**2 + 1/6*i**3. Factor h(c).
-c*(c - 1)**2*(c + 1)/2
Factor 200/7 - 2/7*o**2 - 6*o.
-2*(o - 4)*(o + 25)/7
Solve -86/3 + 44/3*v**2 - 1/3*v**3 - 41/3*v = 0.
-1, 2, 43
Suppose w - 1 = v, -32 = 26*v - 21*v + 4*w. Let g be ((-8)/(-12))/((-4)/(v/3)). Let -g*t**4 + t**3 + 4/9 + 0*t - 11/9*t**2 = 0. Calculate t.
-1/2, 1, 2
Let i(g) be the first derivative of -3*g**5/40 - g**4/4 + 5*g**3/4 + 9*g**2/2 + 6*g + 11. Let c(m) be the first derivative of i(m). Factor c(v).
-3*(v - 2)*(v + 1)*(v + 3)/2
Let z = -32 - -36. Factor -9*g - 4*g**2 - 80 - g**2 - 35*g + z*g.
-5*(g + 4)**2
Let p(m) be the first derivative of -9*m**4/10 - 32*m**3/15 - m**2 + 4*m/5 + 588. Factor p(c).
-2*(c + 1)**2*(9*c - 2)/5
Factor 18/5*p**2 - 8/5 + 4/5*p**3 + 6/5*p.
2*(p + 1)*(p + 4)*(2*p - 1)/5
Let t be ((-28)/(-21))/(2/9). Suppose -c - 2 = w - t*c, -3*c = -w. Factor -36*o - 18*o**2 + w - 27 - 5*o**3 + 0*o**3 + 2*o**3.
-3*(o + 2)**3
Let i(n) = -21*n**2 - 47*n + 27. Let a(k) = -46*k**2 - 93*k + 55. Let q(j) = 3*a(j) - 7*i(j). What is x in q(x) = 0?
-6, 4/9
Let x(c) be the second derivative of 1/96*c**4 + 1/24*c**3 + 2*c - 1/240*c**6 + 0 - 1/80*c**5 + 0*c**2. Find t, given that x(t) = 0.
-2, -1, 0, 1
Let r be 2*-2*(-15)/(-24)*-6. Factor 4 - 20*v**4 + 8*v**3 + 9*v**2 + 8*v**5 - 16*v - 8*v**2 + r*v**2.
4*(v - 1)**3*(v + 1)*(2*v - 1)
Let j be (-2)/7*(-6)/4 + 345/175. Let d = -60 + 303/5. Factor -d*s**3 + 9/5*s**2 - j + 0*s.
-3*(s - 2)**2*(s + 1)/5
Let y(b) be the second derivative of -b**7/280 - b**6/90 + b**5/120 - b**4/12 + 17*b. Let p(c) be the third derivative of y(c). Factor p(u).
-(u + 1)*(9*u - 1)
Let l = -54 - -83. Suppose w - l = -4*n, 3 = -2*w + 13. Factor 11*k - k**3 - n - 2*k - 2*k**3.
-3*(k - 1)**2*(k + 2)
Let r(o) be the second derivative of -5*o**7/126 + 11*o**6/18 + o**5/4 - 175*o**4/36 + 55*o**3/9 + 14*o. Solve r(z) = 0 for z.
-2, 0, 1, 11
Let b(u) be the second derivative of 5*u**4/12 + u**3/2 - u**2 + 22*u + 2. Factor b(v).
(v + 1)*(5*v - 2)
Find h, given that 50 - 1/4*h**3 - 35*h + 11/2*h**2 = 0.
2, 10
Factor -12/13 + 2/13*j + 8/13*j**2 + 2/13*j**3.
2*(j - 1)*(j + 2)*(j + 3)/13
Let b(x) be the first derivative of -x**4/2 + 20*x**3/3 - 16*x**2 + 65. Suppose b(l) = 0. Calculate l.
0, 2, 8
Let w(q) be the third derivative of q**6/150 - 43*q**5/75 + 16*q**4/3 - 104*q**3/5 + 71*q**2. Solve w(y) = 0 for y.
2, 39
Let r be (0 - (-3)/36)/(-8*1/(-128)). Determine s so that 20/3*s**4 + 28/3*s**3 + 0 + 4*s**2 + 0*s + r*s**5 = 0.
-3, -1, 0
Determine y, given that 24/7*y - 30/7*y**3 + 30/7*y**5 - 64/7*y**2 + 88/7*y**4 + 0 = 0.
-3, -1, 0, 2/5, 2/3
Let m(h) be the first derivative of -h**4/4 - 29*h**3 - 924*h**2 + 1936*h + 24. Factor m(a).
-(a - 1)*(a + 44)**2
Let a = -16341/7 + 2339. Suppose -6*b - 144/7*b**4 - 152/7*b**2 - 4/7 - a*b**5 - 226/7*b**3 = 0. Calculate b.
-2, -1, -1/4
Let q be 1*-5*4*8/(-160). Let w be (-420)/110 - q*-4. Find d such that 0 - w*d + 2/11*d**3 + 0*d**2 = 0.
-1, 0, 1
Let k(m) = 5*m**2 + 15*m. Let x(o) = o**3 - 5*o**2 - 13*o + 1. Let g(z) = 4*k(z) + 5*x(z). Let g(q) = 0. Calculate q.
-1, 1
Let t(u) be the third derivative of -u**5/20 + 2*u**2.