 be the third derivative of -1/420*n**6 + 0*n + 1/56*n**4 - 1/2352*n**8 + 0 - 1/490*n**7 + 8*n**2 + 1/42*n**3 + 1/210*n**5. Find h such that m(h) = 0.
-1, 1
What is a in -8*a**5 - 117*a**4 + 19*a**2 + 21*a**3 + 6*a + 126*a**4 + 9*a**5 = 0?
-6, -1, 0
Suppose 3 = b + 3*u, 0 = 2*b + 4*u - 5 - 3. Let g be 1 + (10/(-120))/((-2)/b). Factor 0*i**2 + 0*i + 5/4*i**3 + g*i**5 + 0 + 5/2*i**4.
5*i**3*(i + 1)**2/4
Let f(z) = -4*z**2 + 32*z - 8. Let x = 36 - 41. Let b be -7 - 0 - 0 - 1. Let a(u) = 3*u**2 - 21*u + 5. Let y(o) = b*a(o) + x*f(o). Factor y(k).
-4*k*(k - 2)
Let w(h) = -27*h**4 - 20*h**3 + h**2 + 6*h. Let c(j) = -295*j**4 - 220*j**3 + 10*j**2 + 65*j. Let f(z) = -6*c(z) + 65*w(z). Factor f(u).
5*u**2*(u + 1)*(3*u + 1)
Let p(i) be the second derivative of 1/20*i**5 - 35*i + 0 + 0*i**2 - 1/3*i**3 - 1/12*i**4. Suppose p(d) = 0. Calculate d.
-1, 0, 2
Let d(g) be the second derivative of g**6/1260 - g**5/210 + g**4/84 + 5*g**3/6 + 2*g. Let x(k) be the second derivative of d(k). Find s, given that x(s) = 0.
1
Let p be 1 - 1 - 9*(-5 + 2). Suppose -30*d**2 + 39*d**2 - 21*d**3 + p*d**2 + 12*d = 0. Calculate d.
-2/7, 0, 2
Let m(t) be the first derivative of 1/30*t**4 - 4 + 0*t**3 - 1/5*t**2 - 4*t. Let q(s) be the first derivative of m(s). Factor q(x).
2*(x - 1)*(x + 1)/5
Let p(i) = -2*i**2 + 2*i + 3. Let q be p(-2). Let g = -6 - q. Factor 3*r**g + 5*r**3 - 2*r**3 + 4*r - 8*r**2 - 2*r**3.
4*r*(r - 1)**2
Let r(q) be the third derivative of -q**7/945 + q**6/108 + q**5/18 - 5*q**4/108 - 14*q**3/27 - 143*q**2. Let r(u) = 0. Calculate u.
-2, -1, 1, 7
Let n(h) = 5*h. Let d be n(4). Suppose x + 3*r - d = 0, 2*x - 5*r + 16 = 1. Factor x*s**3 - 8 - 15*s**2 - 13 + 10*s + 21.
5*s*(s - 2)*(s - 1)
Let q(v) be the first derivative of 5/12*v**3 - 5/2*v - 19 - 5/8*v**2. Factor q(u).
5*(u - 2)*(u + 1)/4
Let z(x) be the third derivative of -x**8/1512 - 8*x**7/945 - 13*x**6/540 + 11*x**5/135 + 8*x**4/27 - 32*x**3/27 + 199*x**2 + 2. Solve z(o) = 0.
-4, -2, 1
Let b(x) be the third derivative of x**8/1680 + x**7/120 + 11*x**6/360 + x**5/24 - 43*x**3/6 + 10*x**2. Let w(h) be the first derivative of b(h). Factor w(i).
i*(i + 1)**2*(i + 5)
Suppose r + 2*i + i - 15 = 0, -r + 9 = -3*i. Let m(b) be the second derivative of r*b + 0 + 0*b**4 + 1/3*b**3 - 1/30*b**5 + 2/3*b**2. Factor m(k).
-2*(k - 2)*(k + 1)**2/3
Suppose 5*g + 5 = 0, 2*g - 7 = -m + 4*g. Let o be (38/665)/(((-2)/m)/(-2)). Factor -2/7*q**2 + o*q**3 - 2/7*q**5 + 0*q + 2/7*q**4 + 0.
-2*q**2*(q - 1)**2*(q + 1)/7
Let q(c) = -9*c**3 - 11*c**2 - 10*c - 4. Let k be (-18)/(-3) + 0 - 2. Let r(i) = -i**3 + i**2 - 1. Let m(j) = k*r(j) - q(j). Factor m(t).
5*t*(t + 1)*(t + 2)
Let c(w) be the first derivative of -2*w**5/15 + 103*w**4/9 - 2264*w**3/9 - 1610*w**2/3 - 2450*w/9 - 525. Let c(z) = 0. Calculate z.
-1, -1/3, 35
Let t be 14/(-2) - (15 + -32 + 10). Let w(z) = z**2 + z. Let q be w(1). Factor t*y + 1/3 - 1/3*y**q.
-(y - 1)*(y + 1)/3
Let v(d) be the first derivative of d**5/80 - 3*d**4/32 + d**3/4 - 19*d**2/2 + 10. Let o(y) be the second derivative of v(y). Factor o(u).
3*(u - 2)*(u - 1)/4
Let y = 92 - 88. Let g(d) be the second derivative of -1/48*d**y - 1/4*d**2 - 4*d + 0 - 1/8*d**3. Determine k, given that g(k) = 0.
-2, -1
Let n(i) be the first derivative of i**3/9 - 23*i**2 + 1587*i - 138. Factor n(r).
(r - 69)**2/3
Let s(b) be the second derivative of b**9/75600 - b**8/11200 + b**7/6300 + 7*b**4/12 + 17*b. Let f(v) be the third derivative of s(v). Solve f(h) = 0 for h.
0, 1, 2
Let r(q) = -q**3 - 13*q**2 - 30*q - 614. Let c be r(-14). Factor 4/5*b**3 + 0*b**c + 0 + 0*b**4 - 2/5*b - 2/5*b**5.
-2*b*(b - 1)**2*(b + 1)**2/5
Let f(n) be the second derivative of 1/84*n**4 + 0*n**3 - 3/140*n**5 - 1/294*n**7 + 0*n**2 + 1/70*n**6 - 34*n + 0. Determine q, given that f(q) = 0.
0, 1
Let s be 54/72*((-16)/6)/(-4). Let m(b) be the third derivative of s*b**3 - 9/40*b**6 + 0*b + 0 + 2*b**2 + 5/8*b**4 + 3/20*b**5. Find i, given that m(i) = 0.
-1/3, 1
Let f be (-32)/(-60)*(-200)/(-160). Factor -12/5*b**2 + 8/5*b + 16/15 + f*b**3.
2*(b - 2)**2*(5*b + 2)/15
Let m = 8584 - 43121/5. Let q = 42 + m. Solve 1/5*d**2 - 6/5*d + q = 0.
3
Factor 9/5*t + 0 - 12/5*t**2 + 3/5*t**3.
3*t*(t - 3)*(t - 1)/5
Let l(d) be the second derivative of -d**6/40 + 9*d**5/20 - 43*d**4/16 + 3*d**3 + 30*d**2 - 647*d. Solve l(b) = 0.
-1, 4, 5
Let s(u) = -u - 11. Let m be s(-25). Let a be 1/(-2) + m*1/12. Factor 2*k**3 - 8/3*k + 0*k**2 + 0 - a*k**4.
-2*k*(k - 2)**2*(k + 1)/3
Let y(j) be the second derivative of -j**7/14 - 7*j**6/5 - 99*j**5/20 + 28*j**4 - 32*j**3 + 3*j + 74. Factor y(s).
-3*s*(s - 1)**2*(s + 8)**2
Factor 156/5*n + 72/5 + 44/5*n**2.
4*(n + 3)*(11*n + 6)/5
Let 9*o - 12 + o**5 - 24*o**3 + 7*o + 20*o**4 - 8*o**2 + 12*o - 5*o**5 = 0. Calculate o.
-1, 1, 3
Suppose -3*d + 3*n + 42 = 6*n, 2*n = 3*d - 22. Let m = d - 108/11. Factor 2/11*p**3 + m*p**2 - 4/11*p + 0.
2*p*(p - 1)*(p + 2)/11
Let a(m) be the first derivative of m**7/280 + m**6/10 + 6*m**5/5 + 8*m**4 + 31*m**3/3 - 9. Let v(b) be the third derivative of a(b). Solve v(p) = 0.
-4
Find g such that 0 + 5/7*g + 19/7*g**2 - 4/7*g**3 = 0.
-1/4, 0, 5
Factor 6 + 2/3*i**3 - 2/3*i - 6*i**2.
2*(i - 9)*(i - 1)*(i + 1)/3
Let a(k) be the third derivative of -2*k**5/15 + 5*k**4/6 + 44*k**2 + k. Factor a(l).
-4*l*(2*l - 5)
Let x(o) be the first derivative of o**6/135 - o**5/135 - o**4/54 - 2*o**2 - 14. Let j(m) be the second derivative of x(m). What is r in j(r) = 0?
-1/2, 0, 1
Let u(z) be the second derivative of -2*z**6/45 - 34*z**5/15 + 71*z**4/9 - 8*z**3 - 178*z. Find g, given that u(g) = 0.
-36, 0, 1
Let m(l) = -3*l**3 - 20*l**2 + 5*l - 12. Let z be m(-7). Suppose 7/5*d + 2/5 - 6/5*d**z + 4/5*d**4 - 7/5*d**3 = 0. Calculate d.
-1, -1/4, 1, 2
Let o be 0/(-2 - 1) - -5. Suppose 5*y + o*f - 13 = 17, -2*y + 4*f = 12. Solve 4*x**2 - 4*x**3 + 4*x**5 - 2*x**4 - 2*x - y - 2*x**5 + 4*x = 0.
-1, 1
Let b be (4 + (-150)/(-9))/((-2)/(-3)). Suppose 6*t = t - 4*f + b, 2*t - 3*f = -6. Factor -1/5*d**4 + 0 + 0*d + 0*d**2 + 0*d**t.
-d**4/5
Let l = -78 - -15. Let a be (2*(-28)/l)/(0 + 2). Determine j so that 2/9*j**4 + 10/9*j**2 + 8/9*j**3 + a*j + 0 = 0.
-2, -1, 0
Let g(m) = -m - 2. Let k be g(-2). Suppose 4*q + k*s - 24 = -2*s, -2*s + 4 = -q. Determine l, given that -6*l - 4*l**2 + 3*l**2 - q*l**2 + 3*l**3 + 2*l**2 = 0.
-1, 0, 2
Let l(s) be the second derivative of 0*s**3 - 1/189*s**7 + 0*s**2 + 0 - 1/30*s**5 - 1/45*s**6 + 8*s - 1/54*s**4. Factor l(p).
-2*p**2*(p + 1)**3/9
Let m(a) be the first derivative of -5*a**4/4 - 30*a**3 - 405*a**2/2 + 12. Suppose m(n) = 0. What is n?
-9, 0
Let r(s) be the first derivative of 2*s**3/45 - 34*s**2/15 - 388. Factor r(p).
2*p*(p - 34)/15
Let z(s) be the first derivative of 8*s**3/15 - 38*s**2/5 + 36*s/5 - 93. Factor z(d).
4*(d - 9)*(2*d - 1)/5
Let s be 3202/802 + 12/((-12)/4). Let r = 1649/6015 + s. Solve 0 + r*x - 26/15*x**2 = 0.
0, 2/13
Suppose 0 = 8*c - 691 + 667. Find j such that -3/4 + j + 1/2*j**2 - j**c + 1/4*j**4 = 0.
-1, 1, 3
Let o(g) be the third derivative of g**6/80 + g**5/40 - g**4/8 - 4*g**2 - 10. Suppose o(s) = 0. What is s?
-2, 0, 1
Let b(s) be the third derivative of -s**7/210 - 5*s**6/108 - 7*s**5/45 - s**4/9 - 2*s**3 - 5*s**2. Let p(m) be the first derivative of b(m). Factor p(l).
-2*(l + 2)**2*(6*l + 1)/3
Let t(p) be the third derivative of p**6/420 + p**5/70 - 4*p**3/21 + 3*p**2. Solve t(u) = 0.
-2, 1
Let g(d) be the first derivative of d**7/189 - d**5/90 - 2*d - 35. Let j(b) be the first derivative of g(b). Suppose j(n) = 0. What is n?
-1, 0, 1
What is t in 9*t - 2*t**2 - 2*t**2 - 29*t + 38*t - 400 + 62*t = 0?
10
Let h = 343 + -341. Find d such that 0 - 2/3*d**h - 2*d = 0.
-3, 0
Let 0*d**2 + 0*d**4 + 0 - 2/9*d**5 + 4/9*d**3 - 2/9*d = 0. Calculate d.
-1, 0, 1
Let i(l) be the third derivative of -13*l**8/336 - 2*l**7/105 + 2*l**2 - 11. Factor i(c).
-c**4*(13*c + 4)
Let a be -1 + 1 + (-4)/20 - -1. Let k(v) be the first derivative of 4/3*v**3 - 16/5*v - 8/25*v**5 - 4 + 1/15*v**6 + 1/10*v**4 - a*v**2. What is g in k(g) = 0?
-1, 2
Factor 2/3*d + 2/3*d**2 - 8.
2*(d - 3)*(d + 4)/3
Solve -3*b**3 - 44*b + 47/2*b**2 - 8 = 0 for b.
-1/6, 4
Let k = -97 - -97. Suppose 2/9*y**3 + k*y**2 - 2/3*y - 4/9 = 0. What is y?
-1, 2
Factor -6620 - 12480*d + 8*d**3 - d**3 - 9*d**3 - 5548 + 0*d**3 - 314*d**2