+ 17*o**3/5 - 563*o**2. What is p in z(p) = 0?
2/7, 102
Factor -10*h + 0*h**4 + 5*h**4 - 110*h - 10*h**3 - 100*h**2.
5*h*(h - 6)*(h + 2)**2
Solve 1/4*a**3 - 1/4 + 3/4*a - 3/4*a**2 = 0.
1
Let i(r) be the third derivative of -5*r**8/336 - r**7/42 + 5*r**6/24 + 5*r**5/12 - 5*r**4/6 - 10*r**3/3 - 343*r**2. Suppose i(m) = 0. Calculate m.
-2, -1, 1, 2
Factor -119282/11*k**3 - 844/11*k**4 - 2/11*k**5 - 5724040/11*k**2 - 11093600/11*k - 5488000/11.
-2*(k + 1)**2*(k + 140)**3/11
Let k be (-15 - (-1026)/72)*2/(-63). Let m(v) be the second derivative of 0*v**2 - 1/21*v**3 + 1/105*v**6 + 1/70*v**5 - v - k*v**4 + 0. Solve m(o) = 0 for o.
-1, 0, 1
Let s(h) be the first derivative of h**6/12 - h**5/8 - 5*h**4/24 + 5*h**3/12 - 27*h - 31. Let j(i) be the first derivative of s(i). Find b such that j(b) = 0.
-1, 0, 1
Let g = -9 - -11. Let c = -24 + 27. Suppose -22*h**c + 0*h**g + 4*h**2 - 2*h**4 + 24*h**3 = 0. Calculate h.
-1, 0, 2
Let h(j) be the first derivative of 5/2*j**2 + 5/6*j**6 - 5/2*j**4 - j**5 + 10/3*j**3 - 5*j - 24. Solve h(t) = 0 for t.
-1, 1
Suppose -2*v + 8 = i, i = v - 2*v + 6. Let b be 10/4 - 1/(-2). Suppose 1 - 4*t + b*t**v + 4*t - 2*t**2 + 2*t = 0. Calculate t.
-1
Let i(c) be the first derivative of c**4/4 - 28*c**3/3 + 98*c**2 + 343. Suppose i(q) = 0. Calculate q.
0, 14
Let d(x) be the third derivative of -x**5/60 + 107*x**4/12 - 11449*x**3/6 - 97*x**2. Let d(g) = 0. Calculate g.
107
Suppose 5 = -5*y - t, 2*y - 2*t - 25 = 3*t. Let z(g) be the second derivative of -1/48*g**4 + 1/6*g**3 - 4*g + 0*g**2 + y. Factor z(s).
-s*(s - 4)/4
Let b = 5 + 13. Suppose 0 = 2*f + m - 15, -4*m + b = 6. Let f*k**2 - 9*k**2 - k + 2*k**2 - k = 0. Calculate k.
-2, 0
Suppose 5*x = 9*x - 8. Solve 6*f**x + 10 + 14*f**2 - 2757*f + 2782*f + 5*f**3 = 0.
-2, -1
Let a(q) be the second derivative of q**6/15 - 2*q**5/5 + q**4/2 + 4*q**3/3 - 4*q**2 - 13*q - 4. Factor a(u).
2*(u - 2)**2*(u - 1)*(u + 1)
Let h(s) = -125*s**4 + 50*s**3 + 230*s**2 + 140*s - 25. Let q(o) = -2*o**3 - o**2 + 2*o - 1. Let m(i) = h(i) - 25*q(i). Factor m(u).
-5*u*(u - 2)*(5*u + 3)**2
Let k(l) be the first derivative of 16/3*l**3 + 0*l - 6*l**2 - l**4 + 9. Factor k(h).
-4*h*(h - 3)*(h - 1)
Let j(s) be the second derivative of -3*s**5/20 - s**4 + 15*s**3/2 + 27*s**2 + 35*s. Factor j(w).
-3*(w - 3)*(w + 1)*(w + 6)
Let n(q) be the third derivative of -q**5/210 + q**4/7 - 32*q**3/21 + 73*q**2. Factor n(j).
-2*(j - 8)*(j - 4)/7
Let m(a) be the first derivative of -7*a**6/8 + 12*a**5/5 - 3*a**4/4 - 101. Factor m(l).
-3*l**3*(l - 2)*(7*l - 2)/4
Let f(x) = 5*x**3 + 6*x**2 - 8*x + 12. Let h(i) = 6*i**3 + 8*i**2 - 6*i + 12. Let r(l) = -4*f(l) + 3*h(l). Factor r(d).
-2*(d - 2)*(d - 1)*(d + 3)
Let q(t) be the third derivative of t**5/100 + 3*t**4/20 + t**3/2 - t**2 - 5. Find u, given that q(u) = 0.
-5, -1
Let z(j) be the second derivative of j**6/360 - j**5/60 + j**4/24 - j**3/18 + 13*j**2 - 6*j. Let h(o) be the first derivative of z(o). Factor h(y).
(y - 1)**3/3
Suppose -5*m - 7*a + 30 = -12*a, 5*m + 15 = -4*a. Find c such that 5*c + 4 - m - 7*c**2 - 1 + 11*c**2 + c**3 = 0.
-2, -1
Let h = 38703/146 - 43/73. Let c = 265 - h. Factor -3*w**2 - 2 - c*w**3 - 9/2*w.
-(w + 1)**2*(w + 4)/2
Let s(i) be the third derivative of 1/70*i**7 + 2*i**3 - 1/2*i**4 + 1/20*i**6 + 4*i**2 - 3/20*i**5 + 0*i + 0. Let s(k) = 0. Calculate k.
-2, 1
Find c, given that 11*c**3 - 3*c**4 - 222*c + 18*c**2 + 222*c - 8*c**3 = 0.
-2, 0, 3
Let g(s) be the third derivative of -s**5/180 - s**4/36 - 3*s**2 + 8*s. Solve g(m) = 0 for m.
-2, 0
Let c(l) be the third derivative of -l**6/1200 + 21*l**5/200 - 441*l**4/80 + 3087*l**3/20 - l**2 + 7. Solve c(j) = 0.
21
Let k(w) be the second derivative of -w**4/36 + 29*w**3/18 + 5*w**2 - 9*w. Factor k(l).
-(l - 30)*(l + 1)/3
Let w be 1/(-3) + 63/27. Let u(h) be the first derivative of 4/3*h**3 + 2 + h**4 - 4*h - 2*h**w. Find f, given that u(f) = 0.
-1, 1
Let u be (-3)/6 - (-10)/4. Let g be 2/(-7) + (-24)/(-84). Suppose 15*y + y**2 + 12 + g*y + 2*y**u = 0. What is y?
-4, -1
Let o be 0/(8/(-4) + -2). Solve 2*t**3 + 6*t + 2 + 0*t + o + 0 + 6*t**2 = 0 for t.
-1
Find m, given that -28/11 - 18/11*m - 2/11*m**2 = 0.
-7, -2
Let y(f) = -30*f**2. Let u(c) = 3*c**2 + 730 - 730. Let g = -3 + 5. Let p(s) = g*y(s) + 21*u(s). Determine b, given that p(b) = 0.
0
Let p(t) be the second derivative of 18*t + 1/6*t**4 + 0 - 1/30*t**5 - 4/3*t**2 + 0*t**3. Let p(o) = 0. Calculate o.
-1, 2
Let g be -10*1 + 1178/1938*17. Determine b so that 0*b + g*b**2 - 4/3 = 0.
-2, 2
Let z(s) be the third derivative of -125/96*s**4 + 0*s**3 + 37 + 1/8*s**6 + 1/1344*s**8 + 0*s - 2*s**2 + 1/60*s**7 + 5/24*s**5. Factor z(i).
i*(i - 1)*(i + 5)**3/4
Factor -62*w**2 + 2 - 24*w + 13*w**3 + 4*w**3 - 2 - 6*w**3.
w*(w - 6)*(11*w + 4)
Let m(r) = -4*r - 10. Let o be -2*(1 - -1) - 2. Let j be m(o). Factor 19*v - 3*v**4 - 5*v - j*v.
-3*v**4
Let c(j) be the third derivative of j**5/240 + j**4/32 + j**3/12 - 2*j**2 + 6. Suppose c(t) = 0. What is t?
-2, -1
Let s(v) = v**3 + 12*v**2 + 38*v. Let f(y) = 5*y**3 + 47*y**2 + 155*y. Let g(n) = -2*f(n) + 9*s(n). Factor g(a).
-a*(a - 16)*(a + 2)
Find t such that 11*t**4 + 4*t**4 + 5*t**5 + 47*t**3 - 7*t**3 + 10*t**4 + 20*t**2 = 0.
-2, -1, 0
Suppose 0 = -4*x + j + 3*j + 24, 2*j + 6 = -4*x. Let a(q) = 4*q - 1. Let l be a(x). What is u in -u**3 + 4*u**5 - 2*u**3 - 5*u**l + 4*u = 0?
-1, 0, 1
Let d(o) be the second derivative of -5*o**6/6 + 11*o**5/2 - 55*o**4/4 + 50*o**3/3 - 10*o**2 - 4*o - 6. Let d(p) = 0. Calculate p.
2/5, 1, 2
Suppose 0*c + c - 24 = 0. Suppose 0 = -27*w + 62 + 19. Factor 4*h**4 - 8*h**4 + 12*h + h**4 - c - w*h**3 + 18*h**2.
-3*(h - 2)*(h - 1)*(h + 2)**2
Let h = 148 + -145. Let p(y) be the second derivative of 1/2*y**2 - 1/12*y**4 + 0 + 0*y**h + 4*y. Determine d so that p(d) = 0.
-1, 1
Let t(s) be the third derivative of -s**8/336 - 2*s**7/105 - s**6/30 + s**5/30 + 5*s**4/24 + s**3/3 + 7*s**2 - 15*s. Factor t(b).
-(b - 1)*(b + 1)**3*(b + 2)
Let u be (-3)/(-12)*2*-24. Let i be 2/u - (-57)/18. Let t(m) = -1. Let w(a) = a**2 - 4*a - 2. Let f(g) = i*w(g) - 15*t(g). Determine p, given that f(p) = 0.
1, 3
Let m = 20 + -23. Let p(c) = c**4 + c**3 + c**2 + c + 1. Let k(r) = 2*r**4 + 2*r**3 - r**2 + r + 1. Let x(s) = m*k(s) + 3*p(s). Factor x(j).
-3*j**2*(j - 1)*(j + 2)
Let k = -20/29 + 1469/2088. Let p(z) be the second derivative of -1/60*z**6 + 1/40*z**5 - k*z**4 + 0*z**3 + 1/252*z**7 - z + 0 + 0*z**2. Factor p(i).
i**2*(i - 1)**3/6
Let m(s) = s - 1. Let w be m(6). Suppose 8*d = w*d. Factor x - x**3 - 1/2*x**4 + d*x**2 + 1/2.
-(x - 1)*(x + 1)**3/2
Solve -1 - 11/6*v - 1/2*v**2 + 1/2*v**3 + 1/6*v**4 = 0.
-3, -1, 2
Let u(s) be the third derivative of -s**8/26880 - s**7/6720 + s**6/480 - s**5/12 - 7*s**2. Let n(y) be the third derivative of u(y). Factor n(r).
-3*(r - 1)*(r + 2)/4
Suppose -7*u + 2*u + 120 = 0. Find m, given that 2 - m**2 - 10*m + u*m - 13*m = 0.
-1, 2
Let y be -6*15/(-6)*(-152)/36. Let n = 64 + y. Factor -6*k**2 + 18*k - 18 + n*k**3.
2*(k - 3)**3/3
Let d = -152 + 164. Suppose 4*q = -0*q + d. Let 15/2*y**q - 27/2*y**2 + 3 - 15/2*y + 21/2*y**4 = 0. What is y?
-1, 2/7, 1
Let g(p) = -14*p**4 - 4*p**3 + 3*p**2 + 15*p - 22. Let y(q) = q**2 - q + 2. Let n(s) = 2*g(s) + 22*y(s). Factor n(c).
-4*c*(c - 1)*(c + 1)*(7*c + 2)
Let c be -26 - -28 - (-1 + -1)/(-4). Let k = 147 - 147. Factor k*u + c - 3/2*u**2.
-3*(u - 1)*(u + 1)/2
Let k(h) = h**2 + 5*h + 2. Let p be k(-5). Suppose -p*l + 3*l = 2. Factor -4*q**2 + q + 2*q**l + 0*q**2 + 3*q**2.
q*(q + 1)
Factor -3*o**2 - 34*o**3 - 27*o**3 + 17*o**3 - 4*o**2 + 36*o**3 - o**4.
-o**2*(o + 1)*(o + 7)
Let m be (0 + 3)*(4 + 3). Let x = m - 61/3. What is z in 4/3*z**2 + 2/3*z**3 - 4/3 - x*z = 0?
-2, -1, 1
Let h(t) be the first derivative of t**9/2268 - t**8/560 + t**7/420 - t**6/1080 + 2*t**3 - 5. Let f(u) be the third derivative of h(u). Solve f(d) = 0.
0, 1/4, 1
Let x(m) = 8*m + 13. Let t be x(-2). Let h be 2 + 7 + t + -3. Let -6/7*s**2 + 6/7*s**4 + 0 - 2/7*s**5 - 2/7*s**h + 4/7*s = 0. What is s?
-1, 0, 1, 2
Let u(y) be the first derivative of -2/15*y**3 + 2/25*y**5 + 3/10*y**2 + 0*y + 31 + 1/30*y**6 - 1/5*y**4. Factor u(w).
w*(w - 1)**2*(w + 1)*(w + 3)/5
Let a(j) be the second derivative of j**7/168 + 19*j**6/24 + 479*j**5/16 + 6625*j**4/48 + 805*j**3/3 + 529*j**2/2 - 