derivative of -r**7/630 - r**6/72 - r**5/30 + r**2 - 38*r. Factor d(a).
-a**2*(a + 2)*(a + 3)/3
Let j(c) be the second derivative of -c**4/60 + c**3/30 + 2*c**2 - 33*c - 2. Factor j(n).
-(n - 5)*(n + 4)/5
Determine b, given that -9/2*b**2 + 153/2 + 12*b = 0.
-3, 17/3
Let f(x) be the first derivative of -3*x**3/4 + 71*x**2/4 + 8*x - 32. Factor f(u).
-(u - 16)*(9*u + 2)/4
Let p(f) be the first derivative of -4*f**5/5 + 18*f**4 - 144*f**3 + 432*f**2 - 125. Find g such that p(g) = 0.
0, 6
Let h(b) be the second derivative of b**6/240 + 29*b**5/80 + 841*b**4/96 + b + 8. Determine r so that h(r) = 0.
-29, 0
Let u(k) = -k**2 - k - 1. Let j(v) = -2*v + 8*v**2 - v + 14*v - v**2 - 9. Let d(t) = j(t) + 3*u(t). Factor d(r).
4*(r - 1)*(r + 3)
Let b(y) = -2*y**2 + y - 6. Let n be b(-4). Let i be (1 + 1)/((-21)/n). Factor 45*j + 21*j**2 - i + 31 - 3*j**3 + 6*j**3.
3*(j + 1)*(j + 3)**2
Let l(x) be the first derivative of 4*x**3/3 + 5*x**2 + 12*x - 11. Let v(o) = o + 2. Let k(s) = -l(s) + 6*v(s). Factor k(a).
-4*a*(a + 1)
Solve i**4 + 7/4*i**3 - 1/4*i**5 - 5/2*i**2 + 0 + 0*i = 0.
-2, 0, 1, 5
Let a be 7/(-14) - (-14)/20. Let c(h) be the first derivative of 0*h + 1/10*h**2 + a*h**3 + 7. Determine r, given that c(r) = 0.
-1/3, 0
Let d(s) be the third derivative of -s**7/15120 + s**5/720 + 7*s**4/24 - 46*s**2. Let j(c) be the second derivative of d(c). Factor j(a).
-(a - 1)*(a + 1)/6
Let k = -7 - -2. Let u(g) = -g**2 - 6*g - 3. Let p be u(k). Let -165 - 5*c**p + 4*c + 11*c + 155 = 0. What is c?
1, 2
Let c(b) = -2*b + 5 - 2*b + 5*b. Let d be c(-3). Factor -a + a**3 + 11*a**2 - 4*a**2 + d - 9*a**2.
(a - 2)*(a - 1)*(a + 1)
Let u(r) be the second derivative of -r**5/100 + r**3/30 - 231*r. Factor u(s).
-s*(s - 1)*(s + 1)/5
Let h(x) be the first derivative of -5*x**3/3 + 15*x**2 + 35*x + 187. Let h(a) = 0. What is a?
-1, 7
Let m(d) be the second derivative of -d**8/7 + 8*d**7/7 - 3*d**6 + 135*d**4/8 - 81*d**3/2 + 2*d**2 - d. Let q(j) be the first derivative of m(j). Factor q(y).
-3*(y + 1)*(2*y - 3)**4
Let n(x) be the third derivative of -x**7/13860 + 5*x**4/8 - 16*x**2. Let c(r) be the second derivative of n(r). Find y such that c(y) = 0.
0
Let x(u) be the first derivative of 8 - 2/5*u**3 - 1/10*u**4 - 3/5*u**2 - 2/5*u. Let x(z) = 0. Calculate z.
-1
Let v be (5 + 28/2)*48/456. Find b such that -1/8*b**3 - 1/4*b**v + 1/8*b**5 + 0*b + 1/4*b**4 + 0 = 0.
-2, -1, 0, 1
Let d be (-5)/(350/(-1068)) - 1/(-7). Let v = d + -15. Find n, given that 1/5*n**3 - 3/5*n**2 + v*n + 0 = 0.
0, 1, 2
Let i = -6/403 - -10893/806. Let r(g) be the first derivative of 324/5*g**5 + 135/2*g**4 + 9/2*g**2 + i*g**6 + 6 + 28*g**3 + 0*g. Determine j so that r(j) = 0.
-3, -1/3, 0
Let s = 27 - 163. Let l = s - -138. Solve -8/5*t + 8/5*t**3 + 2/5*t**4 - 8/5 + 6/5*t**l = 0 for t.
-2, -1, 1
Suppose -i - 10 = -16. Let k(z) be the third derivative of 0*z**3 - 1/420*z**i + 7*z**2 + 2/105*z**5 + 0*z - 1/21*z**4 + 0. Factor k(h).
-2*h*(h - 2)**2/7
Suppose 0 = 4*w - 5 + 1. Let p be -2 + 8 + (-2)/w. Factor 7 + 4*c**5 + 2 - 8*c**2 + 4*c - 5 + p*c**4 - 8*c**3.
4*(c - 1)**2*(c + 1)**3
Let b(f) = 4*f**3 + 16*f**2 - 20*f + 6. Let v(h) = h**3 + h**2 - h. Let n = 34 - 35. Let l(o) = n*b(o) + 6*v(o). Factor l(y).
2*(y - 3)*(y - 1)**2
Let y(s) = -5*s**4 - 7*s**3 + 12*s**2 + 14*s - 2. Let x(m) = 10*m**4 + 15*m**3 - 23*m**2 - 29*m + 5. Let j(k) = -6*x(k) - 11*y(k). Factor j(g).
-(g - 1)*(g + 2)**2*(5*g - 2)
Let c(i) = 3*i**3 + i**2. Let k(l) = 16*l**3 + 5*l**2. Let p(m) = 33*c(m) - 6*k(m). Factor p(w).
3*w**2*(w + 1)
Let q = -8 + 10. Let g be (-2)/(1*(-3 + q)). Factor -2 - 3*y**2 + 3*y**3 + g + 6*y**2.
3*y**2*(y + 1)
Solve 12/7*h + 0 - 9/7*h**2 - 3/7*h**3 = 0 for h.
-4, 0, 1
Suppose 8*p - 1 - 15 = 0. Let m(j) be the second derivative of 0*j**p - 4*j + 0 + j**3 + 3/20*j**5 + 3/4*j**4. Factor m(t).
3*t*(t + 1)*(t + 2)
Let t(x) be the first derivative of 5*x**3/9 + 65*x**2/6 - 70*x/3 - 99. Factor t(b).
5*(b - 1)*(b + 14)/3
Let o be (-16736)/(-52) + (-2)/(-13). Find v, given that 161 + 4*v**2 + 159 - 2*v**4 - o = 0.
-1, 1
Let k = -64 - -52. Let o(p) = -p**3 - p**2 - 1. Let b(y) = -15*y**3 - 12*y**2 + 12*y - 12. Let n(h) = k*o(h) + b(h). Factor n(q).
-3*q*(q - 2)*(q + 2)
Let r(o) = o**2 - 5*o - 11. Let q be r(6). Let j(c) = c**3 + 4*c**2 - 6*c - 3. Let u be j(q). Factor 4*m + 13*m**3 + m**5 + 11*m**2 + 6*m**4 + m**u + 0*m**5.
m*(m + 1)**2*(m + 2)**2
Let h(k) be the second derivative of -3/2*k**2 - 2/15*k**3 + 0 - 3*k + 1/150*k**5 + 1/60*k**4. Let g(u) be the first derivative of h(u). Factor g(w).
2*(w - 1)*(w + 2)/5
Let -2/19*c**3 - 10/19*c**2 + 0*c + 0 = 0. What is c?
-5, 0
Let n(v) be the first derivative of 4*v**5/5 + v**4 - 16*v**3/3 - 8*v**2 - 23. Let n(b) = 0. What is b?
-2, -1, 0, 2
Let s(t) be the second derivative of t**5/40 + t**4/4 - 5*t**3/4 + 2*t**2 + 112*t. What is b in s(b) = 0?
-8, 1
Suppose 23*p = 24*p - 3. Factor 5*c**4 + 0*c**5 + 5*c**3 + 3*c - 5*c**p - c**5 + 9 - 14*c**2 - 2*c**3.
-(c - 3)**2*(c - 1)*(c + 1)**2
Let b(q) be the second derivative of 7*q**6/15 - 16*q**5/5 + 52*q**4/7 - 128*q**3/21 + 16*q**2/7 + 12*q + 2. Factor b(h).
2*(h - 2)**2*(7*h - 2)**2/7
Suppose 3*b = -5*r + 15, 5*b + 6 = 2*b + 2*r. Suppose -4*z + b + 8 = 0. Determine s, given that z*s**3 + 4/3*s**4 + 1/3*s + 0 + 4/3*s**2 + 1/3*s**5 = 0.
-1, 0
Determine c so that 4/17*c**4 - 20/17*c**2 + 8/17*c - 10/17*c**3 + 2/17*c**5 + 16/17 = 0.
-2, -1, 1, 2
Let z(t) be the third derivative of -t**8/84 + 4*t**7/105 + t**6/15 - 8*t**5/15 + 7*t**4/6 - 4*t**3/3 + 45*t**2. Suppose z(y) = 0. What is y?
-2, 1
Let g(b) = -2*b**3 - 38*b**2 - 42*b - 4. Let w(l) = 4*l**3 + 39*l**2 + 44*l + 6. Let z(h) = -3*g(h) - 2*w(h). Factor z(c).
-2*c*(c - 19)*(c + 1)
Let o(a) be the second derivative of 1/30*a**5 - 5*a + 0 + 0*a**2 - 1/9*a**3 + 0*a**4. Factor o(s).
2*s*(s - 1)*(s + 1)/3
Solve -48*t - 56781 + 56781 - 80*t**2 - 12*t**3 = 0 for t.
-6, -2/3, 0
Suppose -2/7*d**3 + 2/7*d - 6/7 + 6/7*d**2 = 0. What is d?
-1, 1, 3
Let l(v) = 2*v**2 + 19*v - 11. Let w be l(-10). Let z be 12/(-27)*-3 + w. Let -2/3 + z*c + 1/3*c**2 = 0. What is c?
-2, 1
Let z(p) be the second derivative of p**7/840 + p**6/360 - p**5/60 - 8*p**3/3 + 7*p. Let a(h) be the second derivative of z(h). Factor a(l).
l*(l - 1)*(l + 2)
Factor 64*p**3 - 54 - 672*p**2 - 50 - 54 + 153 - 35 + 324*p.
4*(p - 10)*(4*p - 1)**2
Factor 0 + 66/5*f**2 - 44217/10*f**5 - 51/5*f**3 + 4/5*f - 10693/10*f**4.
-f*(9*f - 1)*(17*f + 2)**3/10
Suppose -2*h - 56 = -60. Suppose 3*r**4 + r**3 - 3*r**h + r**3 + 3*r**3 - 3*r - 2*r**3 = 0. What is r?
-1, 0, 1
Let o(p) be the first derivative of 8 + 0*p + p**2 + 2/3*p**3. Factor o(i).
2*i*(i + 1)
Let z = -7865 - -7869. Let -1/3*o**5 + 5/3*o + 4/3*o**z - 2/3*o**2 - 2/3 - 4/3*o**3 = 0. What is o?
-1, 1, 2
Let y(s) be the third derivative of -s**9/60480 - s**8/10080 - s**7/5040 + 31*s**5/60 - 2*s**2. Let u(o) be the third derivative of y(o). Factor u(b).
-b*(b + 1)**2
Suppose -5*i + 126 = -24. Let u be 4/i + 25/375. Solve 4/5*m - u*m**2 - 3/5 = 0 for m.
1, 3
Let b(d) be the second derivative of d**4/12 + d**3 - 7*d**2/2 - d - 347. Factor b(t).
(t - 1)*(t + 7)
Let z(g) be the third derivative of -g**5/90 - 14*g**4/9 + 19*g**3/3 - 221*g**2. Factor z(j).
-2*(j - 1)*(j + 57)/3
Let h(j) = -10*j**4 + 10*j**3 + 2*j**2 - 2*j + 8. Let t(d) = 21*d**4 - 22*d**3 - 4*d**2 + 5*d - 17. Let n(c) = -17*h(c) - 8*t(c). Factor n(v).
2*v*(v - 1)*(v + 1)*(v + 3)
Suppose 6*k - k + 15 = 0. Let w = -1 - k. Find r such that 3*r**2 - r**3 - r + 2*r**3 - 2*r**3 - 5*r**w = 0.
-1, 0
Find k such that 270 - 896*k - 218*k**2 + 4*k**4 + 128 - 76*k**3 + 674*k**2 + 114 = 0.
1, 2, 8
Let w(h) be the third derivative of 0 + 1/4*h**6 + 0*h + 5/336*h**8 + 2/21*h**7 + 1/3*h**5 + 2*h**2 + 0*h**3 + 5/24*h**4. Factor w(c).
5*c*(c + 1)**4
Let x(i) be the second derivative of i**6/70 + 9*i**5/140 + i**4/14 - 93*i. Factor x(d).
3*d**2*(d + 1)*(d + 2)/7
Suppose 10 = -64*q + 37*q + 64. Factor 3/2*s**5 - 21*s**4 + 0 + 183/2*s**3 + 54*s - 126*s**q.
3*s*(s - 6)**2*(s - 1)**2/2
Let a(s) be the third derivative of -50*s**2 - 2/9*s**3 - 29/108*s**4 - 1/9*s**5 + 0 - 7/540*s**6 + 0*s. Factor a(q).
-2*(q + 1)*(q + 3)*(7*q + 2)/9
Let k(q) be the second derivative of q**5/20 - 7*q**4/12 + 8*q**3/3 - 6*q**2 - 122*q. Factor k(n).
(n - 3)*(n - 2)**2
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