431/(-90) + 18 + (-2)/20. Factor 0 + 1/7*m**d - 1/7*m**5 - 1/7*m**4 + 0*m + 1/7*m**3.
-m**2*(m - 1)*(m + 1)**2/7
Let j(r) be the first derivative of -5*r**4/4 - 5*r**3/3 + 45*r**2/2 + 45*r - 62. Factor j(w).
-5*(w - 3)*(w + 1)*(w + 3)
Let j(m) be the third derivative of -m**8/80640 - m**7/10080 + 11*m**5/60 - 4*m**2. Let l(k) be the third derivative of j(k). Determine t so that l(t) = 0.
-2, 0
Let m(y) be the second derivative of y**8/11200 + y**7/1050 + y**6/300 - y**4 + 2*y. Let z(q) be the third derivative of m(q). Suppose z(l) = 0. Calculate l.
-2, 0
Let g(t) be the first derivative of t**4/8 + 2*t**3 - t**2/4 - 6*t + 81. Factor g(s).
(s - 1)*(s + 1)*(s + 12)/2
Suppose 0 = -46*g - 65*g. Factor 0*h**2 - 3/2*h**4 - 1/2*h**5 + 0*h + g - h**3.
-h**3*(h + 1)*(h + 2)/2
Determine i, given that -11/6*i**3 - 3/2*i + 1/6*i**4 + 19/6*i**2 + 0 = 0.
0, 1, 9
Let o = -5191/183 + 85/3. Let q = 128/183 + o. Factor 0 - 4/3*i**2 - q*i**3 - 2/3*i.
-2*i*(i + 1)**2/3
Let y(l) = l - 77. Let i be y(-15). Let u = i - -277/3. Find x, given that x + u*x**2 + 2/3 = 0.
-2, -1
Let n(h) be the first derivative of -5*h**4/4 + 55*h**3/3 + 12. Factor n(r).
-5*r**2*(r - 11)
Let p(s) be the first derivative of 3*s**5/5 + 3*s**4/4 - s**3 - 3*s**2/2 + 841. Factor p(h).
3*h*(h - 1)*(h + 1)**2
Factor 3*k + 1 + 23*k**2 + 16*k**2 + k**3 + 25*k**2 - 61*k**2.
(k + 1)**3
Let v(q) = q**3 + 16*q**2 + 33. Let m be v(-16). Let y = 431/13 - m. Factor 0 - 2/13*c - 2/13*c**4 + 2/13*c**3 + y*c**2.
-2*c*(c - 1)**2*(c + 1)/13
Let o(z) be the first derivative of -13 + z**3 - 3/2*z**2 + 0*z. Find j, given that o(j) = 0.
0, 1
Let t(s) be the third derivative of s**5/20 + 5*s**4/8 - 18*s**3 - 111*s**2. Factor t(r).
3*(r - 4)*(r + 9)
Let -12/11*r**2 + 10/11*r**3 + 16/11 - 8/11*r - 2/11*r**4 = 0. Calculate r.
-1, 2
Suppose -1/7*b**3 - 44/7*b - 1/7*b**4 + 24/7 + 22/7*b**2 = 0. Calculate b.
-6, 1, 2
Let g(x) be the first derivative of 3*x**5/40 + x**4/4 + 11*x + 3. Let p(i) be the first derivative of g(i). Let p(c) = 0. What is c?
-2, 0
Let s(x) be the third derivative of -x**7/210 - x**6/40 + 7*x**5/60 + 5*x**4/8 - 3*x**3 + 616*x**2. Determine z, given that s(z) = 0.
-3, 1, 2
Let h be (-24)/18 - 30/(-9). Factor 1927*t**2 - h - 1935*t**2 - 4 - 26*t.
-2*(t + 3)*(4*t + 1)
Factor -3*m + 6/5 - 3/5*m**3 + 12/5*m**2.
-3*(m - 2)*(m - 1)**2/5
Factor 6 - 3/2*o**2 + 0*o.
-3*(o - 2)*(o + 2)/2
Let z(v) be the third derivative of v**8/20160 + v**7/1680 + 7*v**5/60 + 10*v**2. Let q(o) be the third derivative of z(o). Factor q(l).
l*(l + 3)
Factor -4/7*c**2 + 2344/7*c - 343396/7.
-4*(c - 293)**2/7
Let g(c) be the third derivative of c**5/360 - 41*c**4/36 + 1681*c**3/9 + 475*c**2. Factor g(t).
(t - 82)**2/6
Let t = -37 - -57. Let f(g) = 7*g**3 + 19*g**2 + 19*g - 3. Let s(a) = 48*a**3 + 132*a**2 + 132*a - 20. Let k(o) = t*f(o) - 3*s(o). Factor k(c).
-4*c*(c + 2)**2
Factor -3/7*z**3 - 45/7*z - 27/7 - 3*z**2.
-3*(z + 1)*(z + 3)**2/7
Let i(p) be the second derivative of 0 + 2/3*p**6 + 0*p**3 - 2/21*p**7 + 8*p - 7/5*p**5 + p**4 + 0*p**2. Suppose i(r) = 0. Calculate r.
0, 1, 3
Let c(j) be the second derivative of -1/9*j**4 + 0 - 13*j - 4/3*j**3 - 6*j**2. Determine n, given that c(n) = 0.
-3
Let x(h) be the third derivative of h**7/60 + 3*h**6/4 + 33*h**5/10 - 680*h**4/3 + 256*h**3 + 32*h**2 + 4. Determine i, given that x(i) = 0.
-16, 2/7, 6
Let x(o) be the second derivative of -o**5/35 - o**4/21 + 8*o**3/21 + 8*o**2/7 - 95*o + 1. Solve x(w) = 0.
-2, -1, 2
Suppose -j = 2, 7*n + 3 = 8*n - 2*j. Let w be (-3)/(-12)*(n + 2). Factor -1/4*p**2 - w*p + 0.
-p*(p + 1)/4
Let q(v) be the third derivative of v**6/40 + 3*v**5/20 + 3*v**4/8 + v**3/2 + 6*v**2 + 10. Factor q(d).
3*(d + 1)**3
Let a(w) = -w**2 - w - 1. Let m(u) = 35*u**2 + 74*u + 34. Let x(o) = -7*o**2 - 15*o - 7. Let g(q) = -4*m(q) - 22*x(q). Let z(s) = -6*a(s) - g(s). Factor z(k).
-4*(k + 3)*(2*k + 1)
Let m(d) be the third derivative of d**8/100800 - d**7/5040 - d**6/600 + 7*d**5/30 - 28*d**2. Let v(s) be the third derivative of m(s). Factor v(k).
(k - 6)*(k + 1)/5
Suppose -p - 5 = -4*u, -5*p + 2*u = 4*u - 19. Suppose -7 + 1 = -p*n. Suppose -1/4*w**n + 0 - 1/4*w**4 + 0*w + 1/2*w**3 = 0. What is w?
0, 1
Let k(s) be the second derivative of 1/18*s**4 + 1/10*s**5 + 0 + 1/45*s**6 - 1/3*s**3 - 2/3*s**2 + 13*s. Suppose k(h) = 0. What is h?
-2, -1, 1
Let q(u) = -4*u + 2. Let s(o) = -o**2 - 39*o - 10. Let z(w) = 35*q(w) - 5*s(w). Factor z(v).
5*(v + 3)*(v + 8)
Suppose -f + 0 = -3. Factor 5*t**5 - 33*t**5 + 20*t**4 + 8*t**5 + 3*t**3 - 8*t**f.
-5*t**3*(2*t - 1)**2
Let s(z) be the first derivative of z**4 + 56*z**3/3 + 128*z**2 + 384*z + 174. Factor s(x).
4*(x + 4)**2*(x + 6)
Suppose 9 = 2*m + 3*x, -x + 4 - 1 = m. Let o = -874 + 876. Determine n so that m + 1/2*n**3 + n**o + 1/2*n = 0.
-1, 0
Let o(j) be the second derivative of j**5/90 + j**4/9 + j**3/3 - 3*j**2 - 21*j. Let k(i) be the first derivative of o(i). Let k(t) = 0. What is t?
-3, -1
Let u(b) be the second derivative of b**5/90 - 5*b**4/9 + 19*b**3/9 - 28*b**2/9 + 734*b. Factor u(c).
2*(c - 28)*(c - 1)**2/9
Suppose 5*c = 6*c. Let y = 5 + c. Factor -h**5 + h**4 + 4*h**5 + h**4 + 4*h**y.
h**4*(7*h + 2)
Find j such that 500 - 1038 + 498 + 14*j**2 + 136*j = 0.
-10, 2/7
Let j(v) = 8*v**3 + 16*v**2 - 8*v. Let x(c) = 6*c**3 + 16*c**2 - 9*c + 1. Let z(d) = -5*j(d) + 4*x(d). Factor z(w).
-4*(w + 1)*(2*w - 1)*(2*w + 1)
Solve -16/3*l - 62/15*l**3 - 34/5*l**2 - 6/5*l**4 - 2/15*l**5 - 8/5 = 0 for l.
-3, -2, -1
Let h(o) be the first derivative of 1/3*o**3 - 1/4*o**4 - 4*o + 2*o**2 - 14. Factor h(j).
-(j - 2)*(j - 1)*(j + 2)
Let x(a) be the first derivative of 5/3*a**3 + 10*a**2 - 16 + 0*a. Let x(h) = 0. Calculate h.
-4, 0
Let u(f) = 15*f**3 - 15*f**2 - 3*f + 3. Let a(i) = i**4 + i**3 - i**2 - i + 1. Let w(d) = 3*a(d) - u(d). Determine y, given that w(y) = 0.
0, 2
Let b be 6/4*(-152)/(-6). Let v = b + -19. Determine u, given that 17*u**4 - 2*u**5 - v*u**4 + u**5 = 0.
-2, 0
Suppose 4*m = -2*t - 66, -m + 5*m = 4*t + 96. Let n be -1 + (-21)/t + (-12)/(-27). Find r, given that 0 + 2/9*r**3 - n*r**5 - 2/9*r**2 + 2/9*r**4 + 0*r = 0.
-1, 0, 1
Let k(s) be the third derivative of s**5/80 + 49*s**4/96 + 2*s**3/3 + 65*s**2. Factor k(v).
(v + 16)*(3*v + 1)/4
Let i = -109 - -204. Let g be (i/114)/(1/6). Factor 21*v**3 + g*v - 9*v**3 - 17*v**3.
-5*v*(v - 1)*(v + 1)
Let g be (18/(-5))/(-2 + 60/25). Let v be (g + 3)/2 + (-2 - -7). Factor 2*m - 4/3*m**2 + 4/3 - v*m**3.
-2*(m - 1)*(m + 1)*(3*m + 2)/3
Let m = -4 + 7. Solve -6*f**2 - f**3 + 5*f**3 - f**m + 3*f = 0.
0, 1
Let y(n) be the first derivative of 0*n**2 - 2/11*n**3 - 7/22*n**4 - 6 + 0*n. Determine r, given that y(r) = 0.
-3/7, 0
Let v(f) be the second derivative of 3*f**7/35 - f**6/25 - 41*f**5/50 + 11*f**4/30 + 4*f**3/3 + 4*f**2/5 + 15*f. What is r in v(r) = 0?
-2, -1/3, 1, 2
Let o(j) be the first derivative of -4*j**3/15 + 108*j**2/5 - 2916*j/5 - 38. Factor o(y).
-4*(y - 27)**2/5
Let w(n) = -4*n**4 + 52*n**3 - 127*n**2 - 303*n + 392. Let b(d) = 6*d**4 - 78*d**3 + 191*d**2 + 455*d - 588. Let h(q) = -5*b(q) - 7*w(q). Factor h(o).
-2*(o - 7)**2*(o - 1)*(o + 2)
Let m be ((-4)/(-14))/((-27)/(-189)). What is b in 90*b**3 + 27*b**4 + 37 + 181*b**m + 19*b - 10 - 43*b**2 + 80*b + 3*b**5 = 0?
-3, -1
Find z such that -4*z**3 + 50*z - 16 - 14*z + 21*z**4 - 20*z**4 - 11 - 6*z**2 = 0.
-3, 1, 3
Let x(g) = -5. Suppose 2 + 23 = -5*h. Let p(y) = -y**2 - 5. Let n(i) = h*p(i) + 6*x(i). Suppose n(u) = 0. Calculate u.
-1, 1
Suppose -3*v + 634*r = 633*r - 15, 3*v = 2*r + 24. Solve -750 - 10*n**v - 2/9*n**3 - 150*n = 0.
-15
Suppose 1 - 21 = 4*j. Let l = j + 10. Factor -3*c**l + c**4 - 5*c**4 - c**5.
-4*c**4*(c + 1)
Suppose 0 = -5*g - 14 + 29. Let s(r) be the first derivative of 5/14*r**6 + g + 3/5*r**5 + 0*r - 3/7*r**2 - r**3 - 9/28*r**4. Let s(h) = 0. What is h?
-1, -2/5, 0, 1
Suppose -y - 4*u = -27, 4*y + 4*u = -159 + 195. Factor -2/9*v**4 - 4/3*v**y - 2*v**2 + 0 + 0*v.
-2*v**2*(v + 3)**2/9
Let b(m) be the first derivative of m**6/10 + 9*m**5/25 - 27*m**4/20 + m**3 + 289. Factor b(t).
3*t**2*(t - 1)**2*(t + 5)/5
Let b be (-9 + -15)/((-2)/(-3)). Let x(l) = -2*l. Let q(t) = -2*t**2 + 36*t + 2. Let r(y) = b*x(y) - 2*q(y). Determine n so that r(n) = 0.
-1, 1
Suppose -7*h + 2*h = 3*z - 27, 4*h = 3*z. Let c(n) be the sec