*(o + 16)*(4*o - 1)
Let s(z) be the first derivative of z**7/42 + 2*z**6/45 - z**5/6 - 2*z**4/3 + 8*z**3/3 - 18. Let n(k) be the third derivative of s(k). Solve n(w) = 0.
-1, -4/5, 1
Factor 2/5*m**4 + 8/5 + 4/5*m**3 - 6/5*m**2 - 8/5*m.
2*(m - 1)**2*(m + 2)**2/5
Let d(c) = -c**3 - 2*c**2 + 3*c - 5. Let g be d(-4). Factor -5*n**3 + 6*n + 0*n**5 - g*n**4 - 21*n**2 + 14*n**3 + 3*n**5 + 18*n**3.
3*n*(n - 2)*(n - 1)**3
Let z(k) be the third derivative of k**9/15120 - k**8/2520 + k**7/1260 + k**5/30 + 23*k**2. Let x(v) be the third derivative of z(v). Factor x(r).
4*r*(r - 1)**2
Let 1/2*t + 9/4*t**3 + 7/4*t**2 + 0 + 1/4*t**5 + 5/4*t**4 = 0. Calculate t.
-2, -1, 0
Let s be -10 - 5*(-205)/100. Factor 1/2*k**3 - 3/4*k + 1/4 + s*k**5 + 1/2*k**2 - 3/4*k**4.
(k - 1)**4*(k + 1)/4
Let b(i) be the first derivative of i**6/2340 - i**4/156 + i**3 - 3. Let q(p) be the third derivative of b(p). Solve q(l) = 0 for l.
-1, 1
Let x = 13 - 8. Suppose -x*w + 20 = -2*b, 0*b = w + b + 3. Find q, given that 2*q**2 + 1 - 21*q - q**w + 19*q = 0.
1
Factor 163*f**2 - 75*f**2 - 336*f**3 - 88*f**2 - 4*f**4.
-4*f**3*(f + 84)
Suppose -4*l + 8*l = 16. Solve -4*v + 10*v**2 + 8*v + 10*v**2 - 4*v**2 - 14*v**4 - 2 - 8*v**5 + l*v**3 = 0 for v.
-1, 1/4, 1
Let g be ((-2222)/120)/(-11) - 45/27. Let l(c) be the second derivative of g*c**6 + 0*c**3 + 1/24*c**4 - 14*c + 0*c**2 - 1/20*c**5 + 0. Factor l(w).
w**2*(w - 1)**2/2
Let l(w) be the second derivative of w**9/28728 - w**8/7980 - w**7/2660 - 3*w**3/2 + 21*w. Let r(u) be the second derivative of l(u). Factor r(v).
2*v**3*(v - 3)*(v + 1)/19
Suppose 9*r + 3182 = -1102. Let z be r/126 + 2 + 2. Factor -z*y**4 + 2/9*y + 4/9*y**2 + 2/9*y**5 - 4/9*y**3 - 2/9.
2*(y - 1)**3*(y + 1)**2/9
Let p(j) be the second derivative of 0*j**3 - 9/20*j**5 + 15*j + 1/10*j**6 + 1/2*j**4 + 0*j**2 + 0. Suppose p(z) = 0. Calculate z.
0, 1, 2
Let t be (-21)/6*((-8)/1 - 555/(-70)). Factor -1/4*a + 1/4*a**2 + t*a**3 - 1/4.
(a - 1)*(a + 1)**2/4
Solve -35 + 0 - 90*z**2 + 100*z + 51*z**4 + 20*z**3 - 46*z**4 = 0.
-7, 1
Let g be (-15)/4 - (-2)/(-8). Let f(m) = 4*m**3 - m + m**2 - 10 + 0 + 6. Let q(v) = 5*v**3 + v**2 - v - 5. Let w(i) = g*f(i) + 3*q(i). Factor w(u).
-(u - 1)*(u + 1)**2
Suppose 4*k - 3*k = 5. Let b(n) = -8 + 17*n + 44*n**2 - 3*n + 30*n - 16. Let j(i) = 9*i**2 + 9*i - 5. Let v(u) = k*b(u) - 24*j(u). Let v(y) = 0. What is y?
-1, 0
Let f(i) be the third derivative of -1/180*i**6 + 0*i**3 + 1/1512*i**8 + 1/135*i**5 + 0*i**4 + 0 - 18*i**2 + 0*i**7 + 0*i. Find o such that f(o) = 0.
-2, 0, 1
Let p(n) be the first derivative of n**6/600 + n**5/200 + n**3/3 + 1. Let r(i) be the third derivative of p(i). Find u, given that r(u) = 0.
-1, 0
Determine i so that 3*i**2 - 28*i**2 - 6 + 86 + 145*i + 45*i = 0.
-2/5, 8
Let o(j) = 9*j**2 - 2*j + 33. Let l(g) = -11*g**2 - 34. Let q(d) = 5*l(d) + 6*o(d). Determine p, given that q(p) = 0.
-14, 2
Let u = 4/89 + 158/445. Let x = 22848 - 22843. Solve 4/5*c**3 + 0*c**4 - u*c**x + 0 + 0*c**2 - 2/5*c = 0 for c.
-1, 0, 1
Let b be (-1*4/(-30))/(1 + (-28)/40). Let b - 22/9*u + 10/3*u**2 = 0. Calculate u.
1/3, 2/5
Suppose 4*n = 3*g + 5, -g = 2*n - 2*g - 3. Let s**3 - 53*s**2 - 65*s**3 - 5*s - 1 + 20*s + 5*s**n = 0. Calculate s.
-1, 1/8
Let c be (14 - 308/14)/((-3)/(9/5)). Factor c*m + 48/5*m**2 + 3/5.
3*(4*m + 1)**2/5
Suppose 514*l - 524*l + 30 = 0. Suppose 576/7*z**2 + 216/7*z + 512/7*z**l + 27/7 = 0. What is z?
-3/8
Let b(u) be the first derivative of -2*u**3/39 + 6*u**2/13 - 10*u/13 - 10. Solve b(v) = 0 for v.
1, 5
Let p be 3/(-48)*-2*(-6)/1. Let g = p + 17/12. Determine u, given that 2/3*u**3 + 4/3*u**2 + 0 + g*u = 0.
-1, 0
Let f(b) be the first derivative of -1/8*b**2 + 0*b - 15 + 1/6*b**3. Find q such that f(q) = 0.
0, 1/2
Let b(v) be the second derivative of 0 + 1/6*v**4 + 1/3*v**3 - 1/10*v**5 - 1/15*v**6 + 0*v**2 + 10*v. Factor b(j).
-2*j*(j - 1)*(j + 1)**2
Let s(n) be the third derivative of n**6/72 + 5*n**5/18 + 125*n**4/72 - 67*n**2 + 2*n. Let s(z) = 0. What is z?
-5, 0
Suppose 5*d = 31*d - 34 - 18. Factor 8/9 - 2/3*j**d - 2/9*j**3 + 0*j.
-2*(j - 1)*(j + 2)**2/9
Suppose 129*z + 17 = 138*z - 10. Determine i, given that -27/2*i + 18*i**2 - 15/2*i**z + 3 = 0.
2/5, 1
Let h be (24/(-54))/((-10)/(-8)). Let a = 382/315 + h. Factor 2/7*o**3 - a*o**2 - 2/7 + 6/7*o.
2*(o - 1)**3/7
Let p(z) be the first derivative of 0*z + 3 - 2/9*z**2 + 5/6*z**4 - 26/27*z**3. Suppose p(n) = 0. What is n?
-2/15, 0, 1
Factor 52/5 - 1/5*t**2 + 51/5*t.
-(t - 52)*(t + 1)/5
Factor -1/6*g**5 - 2/3*g + g**4 + 0 + 2*g**2 - 13/6*g**3.
-g*(g - 2)**2*(g - 1)**2/6
Let p be (-55)/(-10) - (-8)/((-32)/20). Factor 1/2*z**4 + z**3 - p + 0*z**2 - z.
(z - 1)*(z + 1)**3/2
Solve -3*r**4 - 4 + 10 - 6*r - 6 + 3 + 6*r**3 = 0.
-1, 1
Let v(f) be the second derivative of -6*f - 5/12*f**4 - 1/30*f**6 + 0 + 1/3*f**3 + 1/5*f**5 + 0*f**2. What is x in v(x) = 0?
0, 1, 2
Let m(d) = -d**4 + 5*d**3 - 7*d**2 + d + 4. Let u(h) = h**4 - h**3 + h**2 - 2*h. Let a(l) = m(l) + 2*u(l). Determine y, given that a(y) = 0.
-4, -1, 1
Suppose -d + 4*m + 32 = 3*d, 0 = -3*d + m + 18. Let i**2 - 2*i**2 + d*i**2 = 0. Calculate i.
0
Let g(c) = -c**3 + 7*c**2 + 4*c - 16. Let a be g(7). Determine o, given that -1 + 27*o**4 + a*o - 3 - 24*o**2 - 9*o**3 + 4 = 0.
-1, 0, 2/3
Let h = 1 - -31. What is z in 16*z**2 - 8 - 2*z - 19*z**5 - 8*z**4 + h*z**5 + 4*z**3 - 15*z**5 = 0?
-4, -1, 1
Let w(i) be the third derivative of 0*i + 1/3*i**3 - 1/900*i**6 + 5*i**2 + 0 + 1/75*i**5 + 0*i**4. Let j(z) be the first derivative of w(z). Factor j(o).
-2*o*(o - 4)/5
Let i(t) be the first derivative of t**3/9 - 25*t**2/6 + 8*t + 43. Find n, given that i(n) = 0.
1, 24
Let d(o) be the third derivative of 0*o**3 + 5/24*o**4 - 1/4*o**6 - 3*o**2 - 5/112*o**8 + 0*o**5 - 4/21*o**7 + 0 + 0*o. Factor d(x).
-5*x*(x + 1)**3*(3*x - 1)
Let x(l) be the second derivative of l**7/210 - 2*l**6/75 + l**5/20 - l**4/30 + 28*l. What is g in x(g) = 0?
0, 1, 2
Let u(t) = t**3 - t**2 - t + 2. Let h(o) = 9*o**3 - 7*o**2 - 8*o + 12. Let b(q) = 5*h(q) - 30*u(q). Factor b(m).
5*m*(m - 1)*(3*m + 2)
Let a be -12 - 363/(-22) - (2 + -4 - -6). Factor -a + 3/4*l - 1/4*l**3 + 0*l**2.
-(l - 1)**2*(l + 2)/4
Let o(r) = 9*r - 338. Let a be o(38). Let s(m) be the first derivative of a - 1/4*m**2 + 0*m + 0*m**4 + 1/3*m**3 + 1/12*m**6 - 1/5*m**5. Factor s(c).
c*(c - 1)**3*(c + 1)/2
Let x(r) be the third derivative of 1/224*r**8 - 1/10*r**5 - 3/80*r**6 + 0*r**3 + 1/4*r**4 + 0 + 1/70*r**7 - 22*r**2 + 0*r. Factor x(c).
3*c*(c - 1)**2*(c + 2)**2/2
Suppose 8 - 23 = -5*g. Let i(o) be the second derivative of -1/3*o**2 - 5*o + 0 + 0*o**g + 1/18*o**4. Solve i(q) = 0 for q.
-1, 1
Factor g**2 + 3*g**2 + 0*g**2 - 2*g + 7*g - 39*g**3 + 38*g**3.
-g*(g - 5)*(g + 1)
Let y(m) = -m**3 - 8*m**2 - 54*m - 430. Let d be y(-8). Factor 1/4*u**3 + 0 - 1/2*u**d + 1/4*u.
u*(u - 1)**2/4
Suppose -28*f + 20686 = 20630. Factor -4/3*s**f + 2/3*s**4 + 0*s - 2/3*s**3 + 0.
2*s**2*(s - 2)*(s + 1)/3
Let s be (-15 - -15)/(1/1). Let k(i) be the second derivative of 0*i**2 + 1/6*i**4 + 0 - 5*i + s*i**3. Solve k(q) = 0.
0
Let x(v) be the third derivative of -v**6/100 + v**5/6 + 4*v**4/5 + 4*v**3/3 + 3*v**2 - 8*v. Let x(j) = 0. What is j?
-1, -2/3, 10
Let j(y) be the second derivative of -1/15*y**6 + 7/20*y**5 + 0 + 7*y - 1/3*y**4 + 0*y**2 - 1/42*y**7 + 0*y**3. What is z in j(z) = 0?
-4, 0, 1
Let u(a) = 2*a**2 - 2*a - 3. Let q(s) = -s**2 + 1. Let c(g) = -3*q(g) - u(g). Let k be c(-4). Factor -40*l + k + 66*l**2 + 2*l**4 - 40*l**3 + 6*l**4 + 0*l**4.
2*(l - 2)**2*(2*l - 1)**2
Find a such that -21/4*a + 6*a**2 + 0 - 3/4*a**3 = 0.
0, 1, 7
Let a(r) be the second derivative of r**6/720 + r**5/120 - 15*r**2 - 27*r. Let s(i) be the first derivative of a(i). Factor s(j).
j**2*(j + 3)/6
Let w(x) = 8*x**2 + 17*x - 23. Let l be w(1). Factor -1/3*s**3 + 0*s - 1/3*s**l + 0 + 1/3*s**5 + 1/3*s**4.
s**2*(s - 1)*(s + 1)**2/3
Let k(m) be the third derivative of 11*m**2 + 1/60*m**6 + 1/210*m**7 + 0 + 0*m + 0*m**3 - 1/672*m**8 - 1/60*m**5 - 1/16*m**4. Let k(r) = 0. Calculate r.
-1, 0, 1, 3
Suppose -5 = 5*v, 2*b + 2*v = v - 15. Let w = -4 - b. Factor w*s - s**2 - 5*s + 0*s**2.
-s*(s + 2)
Let n(c) = -c**3 + 8*c**2 + 9*c + 2. Let b be n(9). Factor -2*l + 0*l**2 + 7*l + 3*l + b*l**2.
2*l*(l + 4)
Let b be 10/15 + 4/(-6). Let p(r) be th