be the first derivative of n(s). Factor m(o).
-5*o**2*(o - 1)**3/2
Let z(i) be the second derivative of i**4/66 - 7*i**3/33 - 8*i**2/11 + 2*i + 13. Determine j, given that z(j) = 0.
-1, 8
Let p(l) be the first derivative of -1/5*l**3 + 6/5*l - 23 + 3/10*l**2. What is d in p(d) = 0?
-1, 2
Let s(y) = -165*y**4 + 175*y**3 + 165*y**2 - 45*y + 130. Let z(a) = 15*a**4 - 16*a**3 - 15*a**2 + 4*a - 12. Let w(o) = 6*s(o) + 65*z(o). Factor w(c).
-5*c*(c - 1)*(c + 1)*(3*c - 2)
Let d(k) be the first derivative of 13/21*k**3 + 0*k - 5 - 2/7*k**2 + 1/5*k**5 - 1/42*k**6 - 15/28*k**4. Factor d(u).
-u*(u - 4)*(u - 1)**3/7
Find i such that 0*i + 2/15*i**3 + 2/15*i**4 + 0 - 2/15*i**2 - 2/15*i**5 = 0.
-1, 0, 1
Suppose -7*o - 815 = -843. Let g(p) be the second derivative of 1/6*p**o + 3*p + 0*p**2 + 0 - 1/3*p**3. Determine r, given that g(r) = 0.
0, 1
Let n(w) be the third derivative of w**8/1848 - 4*w**7/385 + 3*w**6/44 - 5*w**5/33 + 279*w**2. Find c such that n(c) = 0.
0, 2, 5
Suppose -12*s + 88 + 8 = 0. Factor -s*v + 2 + 1 - 11 + 12*v**2 - 14*v**2.
-2*(v + 2)**2
Let r(l) be the second derivative of l**4/42 - 2*l**3/3 + 40*l**2/7 - 198*l + 1. Find q such that r(q) = 0.
4, 10
Let o(g) be the third derivative of 1/210*g**8 + 3/175*g**7 + 0*g + 0*g**3 + 1/150*g**6 + 0 + 0*g**5 - 6*g**2 + 0*g**4. Factor o(x).
2*x**3*(x + 2)*(4*x + 1)/5
Let o be (-1 + 46/50)*(-14)/((-182)/(-65)). Find h such that -o*h - 2/5*h**3 - 4/5*h**2 + 0 = 0.
-1, 0
Let f(l) be the third derivative of l**7/1785 + l**6/102 + 4*l**5/85 - 5*l**4/102 - 25*l**3/51 + 12*l**2. Suppose f(k) = 0. What is k?
-5, -1, 1
Solve -2/19*x**3 - 138/19*x**2 + 0*x + 0 = 0.
-69, 0
Suppose 8*v - 7*v = 5. Factor 11 - 6 + 5 - v*g + g**2 - 6*g**2.
-5*(g - 1)*(g + 2)
Let y be (42/(-1155))/((-22)/121). Let -1/5*t**3 - 1/5 + y*t**2 + 1/5*t = 0. What is t?
-1, 1
Let l(o) be the second derivative of -4*o + 0*o**2 - 2 + 1/36*o**4 + 1/6*o**3. Solve l(v) = 0 for v.
-3, 0
Let h(b) be the second derivative of 0 + 4/9*b**2 + 4/9*b**3 - 19*b - 1/18*b**5 + 1/18*b**4. Find x, given that h(x) = 0.
-1, -2/5, 2
Let h(o) = -o + 2. Let l be h(-3). Let g = -2 + l. Suppose -3*x**2 - 3*x + 3*x + g = 0. What is x?
-1, 1
Let i(o) be the second derivative of o**7/5040 - o**6/540 + o**5/180 - 7*o**3 - 45*o. Let p(h) be the second derivative of i(h). Suppose p(u) = 0. What is u?
0, 2
Solve 86*a**3 - 48*a**5 - 32*a - 98*a**3 + 176*a**3 + 4*a**4 - 129*a**2 + 41*a**2 = 0 for a.
-2, -1/4, 0, 1, 4/3
Factor -39*y**2 + 0 + 207/2*y + 3/2*y**3.
3*y*(y - 23)*(y - 3)/2
Let j(i) be the first derivative of 3*i**4/4 + 19*i**3 + 105*i**2/2 + 51*i + 2. Suppose j(s) = 0. What is s?
-17, -1
Let n(c) be the first derivative of -c**6/2 + 11*c**5/5 + 24*c**4 + 76*c**3/3 - 48*c**2 - 853. Determine f, given that n(f) = 0.
-3, -2, 0, 2/3, 8
Determine o so that 14/9*o**3 - 8/3*o**2 + 0 - 8/9*o = 0.
-2/7, 0, 2
Let q(d) be the third derivative of -3*d**2 - 1/16*d**4 + 0 + 0*d - 1/40*d**5 + 1/2*d**3. Let q(p) = 0. Calculate p.
-2, 1
Let m = -415 + 415. Let k(f) be the third derivative of 0 + m*f**3 + 0*f + 8*f**2 + 1/560*f**7 - 7/960*f**6 + 1/96*f**5 - 1/192*f**4. Factor k(o).
o*(o - 1)**2*(3*o - 1)/8
Let c(s) be the second derivative of 0*s**3 + 4*s**2 + 1/30*s**6 + 2/15*s**5 + 1/6*s**4 + 6*s + 0. Let v(u) be the first derivative of c(u). Factor v(j).
4*j*(j + 1)**2
Let p(s) be the second derivative of -7/12*s**2 - 1/72*s**4 - 21*s - 2/9*s**3 + 0. Suppose p(f) = 0. What is f?
-7, -1
Let w(d) be the first derivative of -d**6/48 - 3*d**5/40 + 9*d**4/32 + 23*d**3/24 - 3*d**2/2 - 9*d/2 + 171. Determine i so that w(i) = 0.
-3, -1, 2
Suppose -968/3 + 5*j**3 - 313/6*j**2 - 1/6*j**4 + 220*j = 0. What is j?
4, 11
Let l(k) be the first derivative of k**4/4 - 32*k**3/3 - 16*k**2 - 31*k - 5. Let u be l(33). Find r, given that -2/3*r + 0 + 1/3*r**u = 0.
0, 2
Let r(o) be the third derivative of -o**6/240 + 19*o**4/48 - 5*o**3/2 + o**2 + 187*o. Factor r(m).
-(m - 3)*(m - 2)*(m + 5)/2
Let d = 123 + -70. Let i = -29 + d. Solve -15*t**5 - 4*t**2 - 8*t + i*t**4 - 20*t**2 + t**5 + 22*t**3 = 0 for t.
-1, -2/7, 0, 1, 2
Factor 72*o**3 - 32*o**5 + 68*o**5 - 33*o**5 - 33*o**4 + 108*o**2.
3*o**2*(o - 6)**2*(o + 1)
Let p be (-4)/16*(96/(-4))/3. Solve 20 + 241*i**4 + 130*i**3 - 139*i**p + 4*i**2 - 276*i**4 + 20*i = 0.
-2/7, 1, 2
Let z(r) be the first derivative of -r**5 + 5*r**4/4 + 5*r**3 - 5*r**2/2 - 10*r - 191. Suppose z(a) = 0. Calculate a.
-1, 1, 2
Let x = 131 + -76. Suppose 65*w - x*w = 0. Solve w - 1/2*g + 1/4*g**3 - 1/4*g**2 = 0.
-1, 0, 2
Determine k, given that 1 - 3/4*k**4 + k + 7/2*k**3 - 19/4*k**2 = 0.
-1/3, 1, 2
Determine n, given that 2 + 3 + 26*n**2 - 3*n**3 - 5 - 110*n**2 + 87*n = 0.
-29, 0, 1
Let m(o) be the second derivative of -3*o**5/20 + 3*o**4 + 27*o**3/2 + 21*o**2 + 133*o. Find p such that m(p) = 0.
-1, 14
Let z(s) = s**5 + s**4 - s**2. Let v(a) = 7*a**5 - 8*a**4 + 36*a**3 - 40*a**2 + 11*a. Let q(w) = -v(w) + 6*z(w). Find c such that q(c) = 0.
0, 1, 11
Let g(d) be the second derivative of d**8/560 + d**7/140 + d**6/120 - 2*d**3/3 - 14*d. Let l(q) be the second derivative of g(q). Factor l(p).
3*p**2*(p + 1)**2
Let a = 5075/3 + -1689. Factor -a + 2*k**2 + 0*k + 2/3*k**3.
2*(k - 1)*(k + 2)**2/3
Let f(l) be the third derivative of -1/48*l**4 - 17*l**2 - 1/1260*l**7 + 1/240*l**6 + 0*l - 1/360*l**5 + 0 + 1/18*l**3. Factor f(i).
-(i - 2)*(i - 1)**2*(i + 1)/6
Let w(u) be the first derivative of -7*u**5/4 + 25*u**4/16 + 25*u**3/2 - 25*u**2/2 - 10*u - 44. Determine t so that w(t) = 0.
-2, -2/7, 1, 2
Suppose -2*d = 40 + 64. Let t = d - -470/9. Factor -2/9*y - t*y**2 + 0.
-2*y*(y + 1)/9
Let g(o) be the third derivative of -o**8/84 - 26*o**7/45 - 47*o**6/6 - 5*o**5 + 429*o**2. Determine n, given that g(n) = 0.
-15, -1/3, 0
Let b(r) be the third derivative of 0 - 3*r**2 - 1/105*r**7 + 1/15*r**5 + 0*r**6 + 0*r - 1/3*r**3 + 0*r**4. Factor b(k).
-2*(k - 1)**2*(k + 1)**2
Let u(y) = -y**2 - 13*y. Let r = 69 - 96. Let l(i) = -6*i**2 - 90*i. Let v(o) = r*u(o) + 4*l(o). Let v(h) = 0. What is h?
0, 3
Let l(n) be the second derivative of -1/4*n**4 + 12*n + 0 - 150*n**2 - 10*n**3. Factor l(p).
-3*(p + 10)**2
Let z(g) be the first derivative of 26 + 5/4*g**4 + 0*g**2 + 0*g + 5/3*g**3. Factor z(h).
5*h**2*(h + 1)
Let i(g) be the second derivative of 3*g**2 + 0*g**3 + 1/60*g**6 + 0 - 1/12*g**4 + 0*g**5 - 10*g. Let l(y) be the first derivative of i(y). Factor l(v).
2*v*(v - 1)*(v + 1)
Let s be (-228)/(-3762)*(1 + 10)*(1 + 1). Determine z, given that 1/3*z**3 + s + 5/3*z**2 + 8/3*z = 0.
-2, -1
Let 256*q + 9*q**3 - 72*q + 93*q**2 - 88*q - 108 = 0. Calculate q.
-9, -2, 2/3
Let o = -3491/5 - -3503/5. Suppose 12/5*i**3 + 4/5*i**2 + o*i**4 + 0 + 0*i + 4/5*i**5 = 0. What is i?
-1, 0
Let z(s) be the third derivative of s**5/240 - s**4/6 + 8*s**3/3 + s**2 + 47*s. Factor z(t).
(t - 8)**2/4
Let y(w) be the second derivative of -w**9/1008 + 3*w**7/280 + w**6/60 - w**3/2 - 14*w. Let b(u) be the second derivative of y(u). Factor b(r).
-3*r**2*(r - 2)*(r + 1)**2
Suppose -p + 3*b + 72 = 2*p, 2*b = 8. Suppose 0 = 3*f + 4*u + 4, 0*f + 4*u = 3*f - p. Suppose -5/2*w**2 + 0 + 3/2*w + 1/2*w**f + 1/2*w**3 = 0. Calculate w.
-3, 0, 1
What is c in 573*c**2 - 3*c**4 - 503*c**2 - 25*c**3 - 2*c**4 = 0?
-7, 0, 2
Let d(p) = p**3 + 7*p**2 + 7*p - 18. Let b be d(-4). Suppose 0 = -3*y - 2*y - 4*l - 5, 0 = -l - 5. Factor -12*u**4 + 22*u**3 + 12*u**b - 3*u - 12*u**3 - 7*u**y.
-3*u*(u - 1)*(u + 1)*(4*u - 1)
Let o(c) be the first derivative of c**4/84 + c**3/14 - 5*c**2/7 - 8*c - 16. Let k(a) be the first derivative of o(a). Factor k(n).
(n - 2)*(n + 5)/7
Let f(g) be the second derivative of g**7/147 - g**6/210 - 3*g**5/70 + g**4/12 - g**3/21 - 8*g. Let f(k) = 0. What is k?
-2, 0, 1/2, 1
Let z(u) = 8*u**2 + 5*u - 32. Let i(p) = 4*p**2 + 3*p - 16. Let f(g) = 5*i(g) - 3*z(g). Factor f(a).
-4*(a - 2)*(a + 2)
Let a(p) be the second derivative of -3*p**5/20 + p**4/4 + 5*p**3 + 12*p**2 - 10*p. Factor a(v).
-3*(v - 4)*(v + 1)*(v + 2)
Determine t so that -29*t**5 + 20*t**2 + 7*t**4 - 42*t**5 + 33*t + 90*t**3 - 10 - 78*t - 17*t**4 + 26*t**5 = 0.
-1, -2/9, 1
Let h(o) be the second derivative of -o**4/3 + 46*o**3 - 136*o**2 + 90*o. Factor h(q).
-4*(q - 68)*(q - 1)
Let k(a) be the second derivative of a**4/90 + 16*a**3/45 + 28*a**2/15 + 4*a. Factor k