 - 5*o**4/2 + 16*o. Let v(l) be the third derivative of x(l). Let v(p) = 0. What is p?
-2, 0
Let 0 + 0*w**2 - 1/4*w**3 + 0*w = 0. Calculate w.
0
Suppose 20*u = 7*u + 52 - 13. Determine m, given that 2/13*m**5 + 0*m**u - 4/13*m**4 + 0 - 2/13*m + 4/13*m**2 = 0.
-1, 0, 1
Let k = 11 - 22. Let i(f) = -14*f**2 - 161*f - 214. Let o(s) = 3*s**2 + 32*s + 43. Let y(j) = k*o(j) - 2*i(j). Factor y(h).
-5*(h + 3)**2
Let l(u) be the first derivative of 10 + 0*u**3 + 5*u + 0*u**2 + 9/20*u**5 + 1/4*u**4. Let a(n) be the first derivative of l(n). Find s, given that a(s) = 0.
-1/3, 0
Let x(c) be the third derivative of c**6/24 + c**5 - 640*c**3/3 + 43*c**2 + 1. Factor x(s).
5*(s - 4)*(s + 8)**2
Let 5/7*u**3 + u**2 + 0 + 3/7*u + 1/7*u**4 = 0. What is u?
-3, -1, 0
Let t be 4 - (1 + -4 - -5). Factor -32*h**t + 59*h**2 - 26*h**2 - 7 + 6*h.
(h - 1)*(h + 7)
Let o(l) be the second derivative of -l**8/420 - l**7/105 + l**3/6 - 8*l. Let r(w) be the second derivative of o(w). Solve r(k) = 0.
-2, 0
Let l(z) be the third derivative of 1/15*z**5 - 1/2*z**3 + 0 + 0*z + 1/12*z**4 - 1/60*z**6 - 17*z**2 - 1/210*z**7. Factor l(f).
-(f - 1)**2*(f + 1)*(f + 3)
Let s(l) be the third derivative of -l**5/420 - l**4/42 - 2*l**3/21 - 94*l**2 - 2. Factor s(o).
-(o + 2)**2/7
Let h(l) = -l**3 + 0*l**3 + 14*l + 2 + 3*l**2 - 5 - 2*l**3. Let p(u) = u**3 - u**2 - 5*u + 1. Let o(w) = 4*h(w) + 11*p(w). Find i such that o(i) = 0.
-1, 1
Let r = -723 - -731. Let t(i) be the third derivative of 0*i**3 + 0 + 1/180*i**5 + 0*i - 1/72*i**4 + 1/180*i**6 - r*i**2. Determine h so that t(h) = 0.
-1, 0, 1/2
Suppose 3*c - 5*c + 58 = 0. Solve -r**2 - r + 2*r**2 - c*r**4 + 28*r**4 + r**3 = 0 for r.
-1, 0, 1
Let v = -21 + 26. Let a(g) = -g**2 + 7*g - 8. Let c be a(v). What is m in -c - 18 + 6*m - 66*m - 35*m**4 + 55*m**2 + 60*m**3 = 0?
-1, -2/7, 1, 2
Suppose g = -4*l + 9, -g + l = -4*g + 16. Factor 3*m**2 + m**2 - 8 - 3*m + 2*m + g*m.
4*(m - 1)*(m + 2)
Let j(q) be the second derivative of -5*q - 3/20*q**6 + 3/8*q**4 + 0 - 1/2*q**3 + 0*q**2 + 1/28*q**7 + 3/40*q**5. Find f such that j(f) = 0.
-1, 0, 1, 2
Let p(i) be the first derivative of 3/10*i**4 + 3/10*i**2 + 5 - 6*i + 2/5*i**3 + 1/50*i**6 + 3/25*i**5. Let u(s) be the first derivative of p(s). Factor u(c).
3*(c + 1)**4/5
Let s(n) be the third derivative of -n**6/30 + 26*n**5/15 - 110*n**4/3 + 400*n**3 - 326*n**2. Let s(f) = 0. Calculate f.
6, 10
Let p(v) be the first derivative of 4 + 1/2*v - 1/3*v**3 - 1/4*v**2. Factor p(f).
-(f + 1)*(2*f - 1)/2
Let v(r) be the first derivative of 4/21*r**3 - 5 + 0*r + 1/7*r**4 - 4/35*r**5 - 2/7*r**2. Factor v(s).
-4*s*(s - 1)**2*(s + 1)/7
Suppose 5*y + 3*d - 16 = 0, -y - 2*d = -3*d. Suppose 0 = 4*r - y*r, -r = -u. Factor u + 33/4*c**2 - 3/2*c.
3*c*(11*c - 2)/4
Let a = 105 + -103. Let 15*r**a - 14*r**2 + 3*r**2 + 484 + 88*r = 0. What is r?
-11
Let a(m) be the third derivative of -m**6/80 + m**5/10 + m**4/4 - 4*m**3 - 2*m**2 + 9. What is t in a(t) = 0?
-2, 2, 4
Let f(z) be the second derivative of 0*z**2 + 0 + 3/80*z**5 - 7/48*z**4 - 1/4*z**3 + 12*z. Determine t, given that f(t) = 0.
-2/3, 0, 3
Let a = -1769 - -1769. Find g, given that 0*g**2 - 1/6*g**5 + a*g**4 + 0*g**3 + 0*g + 0 = 0.
0
Suppose 234*s - 234*s + 5*s**4 + 5*s**2 + 10*s**3 = 0. What is s?
-1, 0
Let y = 3/67 - -52/335. Suppose 0 = b - 4*b + 6. Solve 2/5*z - 1/5 - y*z**b = 0.
1
Let d(j) be the third derivative of 0 + 5/6*j**3 - 28*j**2 - 1/15*j**5 + 1/4*j**4 - 1/210*j**7 - 1/20*j**6 + 0*j. Factor d(w).
-(w - 1)*(w + 1)**2*(w + 5)
Let q(o) be the second derivative of o**6/60 - 3*o**5/8 + 9*o**4/8 - 13*o**3/12 - o + 6. Determine n so that q(n) = 0.
0, 1, 13
Suppose 2*u + 4*k - 16 = 0, 0 = 5*k - 20. Factor -7*p - 17*p - 3*p**2 + u*p**2.
-3*p*(p + 8)
Let u(q) be the third derivative of q**6/480 + q**5/48 + q**4/48 - q**3/3 - 14*q**2 - 1. What is t in u(t) = 0?
-4, -2, 1
Let i(b) be the second derivative of 0 + 0*b**4 + 1/3*b**3 - 1/10*b**5 - 5*b + 0*b**2. Suppose i(u) = 0. What is u?
-1, 0, 1
Let y = 3/401 + 200078/2807. Let p = -71 + y. Let p + 18/7*w**4 - 48/7*w**3 - 16/7*w + 44/7*w**2 = 0. Calculate w.
1/3, 1
Let c = 18/311 - -4886/1555. Solve 14/5*p**2 - 2/5*p**3 - c*p - 32/5 = 0 for p.
-1, 4
Let c = 35 + -139/4. Factor -7/4*h + 5/4*h**2 + 3/4 - c*h**3.
-(h - 3)*(h - 1)**2/4
Let c = -262/1001 - -160/143. Determine o, given that -8/7*o + 2/7 + c*o**2 = 0.
1/3, 1
Let x be (-7)/(0 + -3 + 2). Factor -x*w**2 - w**4 + 5*w + 8*w**2 - w**3 - 3*w - w.
-w*(w - 1)*(w + 1)**2
Suppose -5*o = -2*r - 15, 5 = -0*o + o. Factor 0*q**3 - 36*q**2 - 60*q**3 - 29*q**5 + 25*q**r - 28*q**4.
-4*q**2*(q + 1)*(q + 3)**2
Let i(s) = 2*s - 3. Let x be i(-10). Let v = x - -25. Suppose -v*h**2 - 1 + 6*h - 14*h - 7 + 0 = 0. Calculate h.
-2
Suppose -4 = -n + 2. Let p(k) = -2*k**2 + 2*k + 9. Let t(l) = l**2 - l - 5. Let f = 253 - 243. Let h(d) = f*t(d) + n*p(d). Find u, given that h(u) = 0.
-1, 2
Let i(r) be the third derivative of -r**6/40 + 27*r**4/8 - 27*r**3 + 64*r**2. Determine m so that i(m) = 0.
-6, 3
Let z be 6/(-8) - (5 - (-93)/(-12)). Factor 65*v**z - 30*v**2 - 4*v - 6 - 33*v**2.
2*(v - 3)*(v + 1)
Let -135*j**5 - 3690*j**3 + 65 + 339*j + 1580*j**2 - 570*j**4 + 575*j**4 - 994*j + 810*j**2 + 2020*j**4 = 0. Calculate j.
1/3, 1, 13
Let p be 7/2 + 4/(-8). Factor 2*y**5 - 8*y**4 - 7*y**3 - p*y**2 + 2*y**2 + 4 + 5*y**2 + 15*y**3 - 10*y.
2*(y - 2)*(y - 1)**3*(y + 1)
Let r(d) = d**2 - 3*d + 1. Let b be r(3). Let p be b/(0 + (-4)/(-8)). What is l in -4*l**2 + 2*l**2 - 3*l - p + l**2 = 0?
-2, -1
Let t(x) be the first derivative of x**6/840 - x**5/70 + x**4/14 + 4*x**3/3 + 6. Let y(v) be the third derivative of t(v). Factor y(n).
3*(n - 2)**2/7
Factor -132*l + 1 + 19*l**2 + 24 + 23 + 3*l**3 - 12 + 4*l**3.
(l - 3)*(l + 6)*(7*l - 2)
Factor 26/5 - 2/5*z**2 + 24/5*z.
-2*(z - 13)*(z + 1)/5
Let f(n) be the first derivative of n**7/630 + n**6/360 + 4*n**2 - 6. Let w(g) be the second derivative of f(g). Factor w(j).
j**3*(j + 1)/3
Suppose 48 = y - 5*z, -5*y = 4*z - 100 - 24. Determine d, given that -2*d**3 + 33*d**2 - 65*d**2 + y*d**2 = 0.
-2, 0
Let n(r) = 63*r**2 - 123*r - 83. Let v(h) = -21*h**2 + 45*h + 28. Let m(z) = 4*n(z) + 11*v(z). What is k in m(k) = 0?
-8/7, 1
What is n in 102*n**2 - 2*n**4 - 8*n**4 + n**4 - 262*n + 97*n**3 - 7*n**3 - 3*n**5 - 593*n + 675 = 0?
-5, 1, 3
Let m(s) be the second derivative of s**7/4200 - s**5/200 + s**4/60 + 8*s**3/3 + 9*s. Let v(p) be the second derivative of m(p). Factor v(w).
(w - 1)**2*(w + 2)/5
Let f = 526 + -521. Let v(z) be the second derivative of 4/15*z**3 - 2/15*z**4 + 0 - f*z + 1/50*z**5 + 0*z**2. Determine o, given that v(o) = 0.
0, 2
Let n(a) = -82*a**3 + 3173*a**2 - 1253*a - 21. Let m(g) = 55*g**3 - 2115*g**2 + 835*g + 15. Let p(q) = 7*m(q) + 5*n(q). Let p(x) = 0. Calculate x.
0, 2/5, 42
Suppose 40/3*o**2 + 224/3*o + 128 + 2/3*o**3 = 0. Calculate o.
-12, -4
Let b = 2552/5 + -510. Let n(q) be the first derivative of -1/5*q**6 + 1/2*q**4 + 6 + 0*q - b*q**2 + 2/5*q**5 - 2/3*q**3. Find a such that n(a) = 0.
-1, -1/3, 0, 1, 2
Let x(s) be the first derivative of 0*s**2 - 12 + 0*s - 5/12*s**4 - 1/5*s**5 - 2/9*s**3. Solve x(z) = 0.
-1, -2/3, 0
Let x(j) be the third derivative of -13*j**5/150 - 19*j**4/60 - 2*j**3/5 - 156*j**2. What is y in x(y) = 0?
-1, -6/13
Let t(j) be the third derivative of -j**7/630 + j**6/72 + j**5/180 - 5*j**4/72 - 5*j**2 + j. Factor t(l).
-l*(l - 5)*(l - 1)*(l + 1)/3
Let d = 660 - 658. Let f(g) be the first derivative of -4/15*g**d + 2/45*g**3 + 5 + 8/15*g. Solve f(t) = 0 for t.
2
Let t = 72 - 67. Factor 10*p**2 + 3*p - 6*p + 8*p - 10*p**4 - t*p**5.
-5*p*(p - 1)*(p + 1)**3
Let t(z) = 3*z**2 - 225*z + 990. Let p(a) = -a**2 + 56*a - 247. Let k(d) = 9*p(d) + 2*t(d). Determine b so that k(b) = 0.
9
Let p be ((7/84)/1)/(3/6). Let j(o) be the second derivative of -3*o + 0*o**3 + 1/2*o**2 + 0*o**5 - p*o**4 + 1/30*o**6 + 0. Factor j(l).
(l - 1)**2*(l + 1)**2
Let w(s) = -26*s**2 - 214*s - 11. Let k(z) = 9*z**2 + 71*z + 4. Let g(c) = -11*k(c) - 4*w(c). Find u such that g(u) = 0.
-15, 0
Let h = -507/5 + 28919/285. Let n = 248/285 - h. Factor 4/5*a - 8/5*a**2 - n*a**3 + 8/5.
-4*(a - 1)*(a + 1)*(a + 2)/5
Let h(c) be the first derivative of 0*c + 1/12*c**4 + 0*c**2 + 1/30*c**5 + 0*c**3 - 1/36*c**6 + 48. Determine j so that h(j) = 0.
-1, 0, 2
Let o(