12*v**5 - 3*v**4.
3*v**4*(v - 1)
Let o(z) be the third derivative of -41*z**8/84 + 86*z**7/105 + 23*z**6/24 - 22*z**5/15 - 37*z**4/24 + z**3/3 + 2*z**2 - 73. Find p, given that o(p) = 0.
-1/2, 2/41, 1
Let o(s) be the third derivative of -s**6/900 + 23*s**5/225 + 19*s**4/36 + 16*s**3/15 - 3*s**2 - 11*s. Factor o(d).
-2*(d - 48)*(d + 1)**2/15
Suppose 0 = -6*k + 2*u - 3*u + 11, -2*k + 3*u + 7 = 0. What is l in -14/9*l**3 + 0*l - 4/9*l**k + 0 - 10/9*l**4 = 0?
-1, -2/5, 0
Let d = 42892 + -643372/15. Let 0 + 4/15*h**4 + 2/5*h - 4/15*h**2 - d*h**3 + 2/15*h**5 = 0. Calculate h.
-3, -1, 0, 1
Suppose 5*f - 21 = -6. Let k be (0/6)/((-6)/f). Factor 2/7*m**4 + k - 2/7*m**2 - 2/7*m + 2/7*m**3.
2*m*(m - 1)*(m + 1)**2/7
Let x(g) = g**3 - g**2 - 3*g + 1. Let y(u) = 3*u**3 - 51*u**2 - 55*u + 93. Let j(k) = 5*x(k) - y(k). Solve j(w) = 0 for w.
-22, -2, 1
Determine b so that 4/3*b**2 + 8/3*b**3 + 2/3*b**4 - 8/3*b - 2 = 0.
-3, -1, 1
Factor 27/2*p - 63/2*p**2 - 3/2*p**4 + 25/2*p**3 + 27.
-(p - 3)**3*(3*p + 2)/2
Let y be (1 - 0)/(9/54). Factor -11*c + c**3 + y*c + 4*c**3.
5*c*(c - 1)*(c + 1)
Let w(q) be the second derivative of 2*q**6 + 25*q**5/4 + 5*q**4/6 - 86*q. What is z in w(z) = 0?
-2, -1/12, 0
Let m(d) = -108*d + 219. Let a be m(2). Factor -2/3*s + 4/3*s**2 - 2/3*s**4 - 2/3 - 2/3*s**5 + 4/3*s**a.
-2*(s - 1)**2*(s + 1)**3/3
Let l(u) be the second derivative of u**7/168 - u**6/40 - 7*u**5/80 + 7*u**4/48 + 3*u**3/4 + u**2 - 224*u. Factor l(v).
(v - 4)*(v - 2)*(v + 1)**3/4
Factor -5278*a**4 - 23*a**2 + 5275*a**4 - 22*a**2 - 27*a**3 + 75*a.
-3*a*(a - 1)*(a + 5)**2
Let l be (-2 - 2)/4*0. Let u(k) = -2*k - 6*k + 11*k**3 + l*k**3 - 3*k. Let i(f) = 4*f**3 - 4*f. Let o(p) = 8*i(p) - 3*u(p). Find d such that o(d) = 0.
-1, 0, 1
Let s(v) be the second derivative of -1/240*v**6 + 0*v**2 + 1/48*v**4 + 0 + 30*v + 0*v**3 + 1/160*v**5. Factor s(y).
-y**2*(y - 2)*(y + 1)/8
Let a(k) be the second derivative of -5*k**2 - 1/6*k**6 - 15/4*k**4 + 5/4*k**5 + 35/6*k**3 + 0 - 3*k. Factor a(q).
-5*(q - 2)*(q - 1)**3
Let i = -23 - -72. Determine g so that -192 - i*g - 4*g**2 - 4 - 7*g = 0.
-7
Suppose -4*u - 62 = -6. Let o be 228/27 + u/(-63). Factor -40*m**2 - 2/3 - o*m - 224/3*m**3 - 128/3*m**4.
-2*(m + 1)*(4*m + 1)**3/3
Let f(c) be the third derivative of -2/105*c**7 + 11/180*c**5 + 1/18*c**3 - 1/180*c**6 - 13*c**2 + 0 - 1/224*c**8 + 13/144*c**4 + 0*c. Let f(a) = 0. What is a?
-2, -1, -1/3, 1
Suppose 3*i + 10*i - 273 = 0. Suppose 3 = -4*t - 0*d + 5*d, -4*t + i = 3*d. Find s such that 4/11*s**t - 2/11*s**5 + 4/11 + 4/11*s**4 - 2/11*s - 8/11*s**2 = 0.
-1, 1, 2
Factor -391*r + r**2 + 441*r + 4*r**2.
5*r*(r + 10)
Let j(s) = 2*s**2 - 6*s - 3. Let u be j(5). Solve b**2 - u*b**4 - 28*b**3 - 17*b**2 - 20*b**3 - 19*b**4 = 0.
-2/3, 0
Let z(t) be the first derivative of -t**9/9072 - t**8/1008 - t**7/360 - t**6/360 - t**3/3 + 4. Let j(h) be the third derivative of z(h). Factor j(d).
-d**2*(d + 1)**2*(d + 3)/3
Let q be (20 - 13)*(-3)/(-7). Let m(r) be the second derivative of -3*r + 1/20*r**4 + 0 - 2/15*r**q + 1/10*r**2. Suppose m(p) = 0. What is p?
1/3, 1
Let d(b) be the third derivative of -1/540*b**6 - 1/108*b**4 + 0 + 1/756*b**8 - 1/189*b**7 + 7/270*b**5 - 2/27*b**3 + 0*b - 11*b**2. Let d(x) = 0. What is x?
-1, -1/2, 1, 2
Let u = 60 - 56. Suppose -4*j = -12, -3*j + u = -4*r - 5. Factor 3/2*s**2 + r*s - 2 + 1/2*s**3.
(s - 1)*(s + 2)**2/2
Let t(a) be the third derivative of -a**7/525 + 3*a**6/25 + 38*a**5/75 - 26*a**2. Suppose t(l) = 0. Calculate l.
-2, 0, 38
Determine c, given that -70 + 205*c + 61*c - 113*c + 28 - 21*c**2 = 0.
2/7, 7
Let x be 2/3*-5*4/200. Let z = x - -7/30. Factor -1/3 + z*o + 1/6*o**2.
(o - 1)*(o + 2)/6
Let x(b) be the third derivative of 0*b + 1/8*b**4 - 1/40*b**6 + 0 - 1/3*b**3 + 1/30*b**5 + 2*b**2. Factor x(o).
-(o - 1)*(o + 1)*(3*o - 2)
Let t(v) be the third derivative of -5*v**8/26208 + v**7/1638 - v**6/1170 - 3*v**5/5 + 25*v**2. Let p(y) be the third derivative of t(y). Factor p(s).
-2*(5*s - 2)**2/13
Let q(j) be the third derivative of -j**6/120 + 4*j**5/5 - 32*j**4 + 2048*j**3/3 - 8*j**2 + j. Factor q(k).
-(k - 16)**3
Let a(h) be the third derivative of -h**5/90 + 23*h**4/3 - 2116*h**3 + 160*h**2. Factor a(t).
-2*(t - 138)**2/3
Let m(n) = -254*n**3 + 1327*n**2 - 608*n + 82. Let b(y) = -170*y**3 + 885*y**2 - 405*y + 55. Let k(u) = -7*b(u) + 5*m(u). Factor k(g).
-5*(g - 5)*(4*g - 1)**2
Let u(t) be the first derivative of -1/2*t**3 + 1/2*t**2 - 1/20*t**5 + 2*t + 15 - 5/16*t**4. Factor u(h).
-(h - 1)*(h + 2)**3/4
Determine u so that -68/9*u + 20/3*u**2 - 64/9 + 4/9*u**4 + 68/9*u**3 = 0.
-16, -1, 1
Let v be -2*2/26 - (10065/312)/(-61). Determine h so that 0 + 9/2*h**2 + 3/2*h + 9/4*h**4 + v*h**5 + 39/8*h**3 = 0.
-2, -1, 0
Let t(j) be the third derivative of -7*j**6/24 - 25*j**5/4 - 145*j**4/4 + 140*j**3/3 - 446*j**2. Solve t(l) = 0.
-7, -4, 2/7
Find s, given that 15*s + 156/5*s**2 + 79/5*s**3 - 2/5 = 0.
-1, 2/79
Let l(n) be the third derivative of n**5/135 + 5*n**4/36 - 8*n**3/27 + 23*n**2. Factor l(s).
2*(s + 8)*(2*s - 1)/9
Let y(v) = -2*v**2 - 21*v - 8. Let u be y(-10). Factor -935*m**4 + 10*m**2 + 931*m**4 - 7*m - 12*m**3 + 10*m**u - m + 4*m**5.
4*m*(m - 1)**3*(m + 2)
Find z, given that -80*z**4 + 11*z**5 + 9*z**5 + 390*z**2 - 445*z**2 + 10*z + 105*z**3 = 0.
0, 1/2, 1, 2
Let b be 8/3 - (-2)/6. Let a = 29 - 26. Factor 0*h**3 + 1 + a*h + 3 - h**b - 6.
-(h - 1)**2*(h + 2)
Suppose 0 = -13*u + 14*u - 6. Factor 3*k**2 - u + 2*k**2 - 5*k - 4.
5*(k - 2)*(k + 1)
Factor 77*g**2 - 17 - 8*g**2 + 21*g**3 - 66*g - 7 + 0*g**2.
3*(g - 1)*(g + 4)*(7*g + 2)
Suppose 27*x - 25 = 22*x. Let -91*u**2 + 94*u**2 - x*u**5 - 3*u**4 + 4*u**5 + u**3 = 0. Calculate u.
-3, -1, 0, 1
Suppose 2*v - 6 - 22 = 0. Find s such that 2*s**2 - 4*s + 6*s**3 - 14 + v = 0.
-1, 0, 2/3
Factor -4/9 + 2/9*s**3 - 8/9*s**2 + 10/9*s.
2*(s - 2)*(s - 1)**2/9
Let k(j) be the second derivative of j**6/10 + 3*j**5/10 + j**4/4 + 615*j. Solve k(c) = 0.
-1, 0
Let w be 2/(-14) + (-2)/(70/(-75)). Factor 108*c**2 - 3*c - w*c - 113*c**2 + c.
-c*(5*c + 4)
Let l(p) be the first derivative of 3*p**3/5 - p**2/10 - 8*p/5 - 29. Factor l(t).
(t - 1)*(9*t + 8)/5
Let u(s) be the third derivative of s**6/40 + 9*s**5/20 - 21*s**4/8 + 11*s**3/2 + 8*s**2 + 4*s. Factor u(f).
3*(f - 1)**2*(f + 11)
Factor 6 - 5*l**2 + 9 + 4*l**2 + 9 + 2*l.
-(l - 6)*(l + 4)
Let c(o) be the third derivative of 0 + 0*o - 22*o**2 - 1/20*o**5 - 1/120*o**6 + 4/3*o**3 + 1/4*o**4. Factor c(v).
-(v - 2)*(v + 1)*(v + 4)
Let m(q) be the second derivative of 2/3*q**6 - 32*q + 22/3*q**3 + 17/5*q**5 + 7*q**4 + 4*q**2 + 0. Factor m(t).
4*(t + 1)**3*(5*t + 2)
Suppose -70 - 62 = -4*n. Let w be (3/n)/(-2*(-3)/12). Factor 0 + 0*y - 2/11*y**3 + w*y**2.
-2*y**2*(y - 1)/11
Let c(o) be the first derivative of 2/15*o**5 - 2/9*o**3 + 2/3*o**4 + 0*o - 4/3*o**2 - 28. Determine t so that c(t) = 0.
-4, -1, 0, 1
Let a(j) be the third derivative of -1/18*j**4 - 4/9*j**3 - 17*j**2 - 1/360*j**5 + 0 + 0*j. Factor a(v).
-(v + 4)**2/6
Let g(s) be the first derivative of -s**6/480 + s**5/60 - 5*s**4/96 + s**3/12 + s**2 - 3. Let z(b) be the second derivative of g(b). Factor z(h).
-(h - 2)*(h - 1)**2/4
Let y(b) be the third derivative of -b**11/110880 + b**10/50400 + b**9/10080 - 23*b**5/60 + 5*b**2. Let i(t) be the third derivative of y(t). Factor i(g).
-3*g**3*(g - 2)*(g + 1)
Let w be 11/4 + (-15 - (17 - 36)). Solve 9/4 - w*g**3 - 53/4*g**2 - 21/4*g - g**4 = 0 for g.
-3, -1, 1/4
Let p(o) be the first derivative of -2*o**3/3 + 3*o**2 - 4*o - 126. Factor p(b).
-2*(b - 2)*(b - 1)
Let w = 771 + -768. Let f(j) be the second derivative of 0*j**2 + 0 + 2*j - 1/8*j**4 - 1/4*j**w. Solve f(c) = 0 for c.
-1, 0
Let v be ((-2)/20*-2)/((-78)/(-780)). Let -8/7*m**v + 0*m + 4/7*m**5 + 0 + 8/7*m**4 - 4/7*m**3 = 0. Calculate m.
-2, -1, 0, 1
Let w = 13 + 8. Determine o, given that -2*o - o**4 - 2*o + 9*o**3 - 12*o**2 - 3*o**4 - w*o**3 = 0.
-1, 0
Let f be (25/(-225))/(5/(-9)). Let f + 2/5*i**2 + 1/10*i**3 + 1/2*i = 0. Calculate i.
-2, -1
Find o, given that -24/5*o**2 + 12/5*o**3 - 32/5*o + 4/5*o**4 + 0 = 0.
-4, -1, 0, 2
Let w(v) = 2*v**3 + 2*v**2 - 28*v + 12. Let s be (-3)/12*-6*(1 - -1). Let u(h) = 5*h**3 + 5*h**2 - 55*h + 25. Let d(y) = s*u(y) - 5*w(y). Factor d(m).
5*(m - 1)**2*(m + 3)
Let d = 7 + 28. What is f i