- h**2/7 - 15*h/7 + 248. What is l in p(l) = 0?
-3, 5
Determine q, given that -2/9*q**2 - 20/9*q - 50/9 = 0.
-5
Let y(z) be the second derivative of -z**5/210 - 31*z**4/126 - 34*z + 1. Find j such that y(j) = 0.
-31, 0
Let l(n) = n**2 - 26*n + 46. Let d(k) = -k - 2. Let s(u) = 14*d(u) + 2*l(u). Let s(v) = 0. Calculate v.
1, 32
Let h(v) be the first derivative of -3*v**4 - 29*v**3/15 - v**2/5 + 104. Factor h(l).
-l*(5*l + 2)*(12*l + 1)/5
Suppose 3*h = 2*n + 313, -2*n + n + 432 = 4*h. Let i = h - 205/2. Find z, given that i*z + 0 - 3/2*z**2 = 0.
0, 3
Factor 90*h + 5*h**3 - 7*h**2 - 59*h**2 + 11*h**2.
5*h*(h - 9)*(h - 2)
Let j(d) be the first derivative of -4*d**3/3 - 160*d**2 - 6400*d + 166. Find o such that j(o) = 0.
-40
Let y(b) be the second derivative of -b**6/240 - b**5/30 + b**4/48 + b**3/3 - 5*b**2/2 + 19*b. Let a(l) be the first derivative of y(l). What is z in a(z) = 0?
-4, -1, 1
Determine f, given that 3*f - 4*f**2 + 22/3 + 1/3*f**3 = 0.
-1, 2, 11
Let h be -3*(0 - 8/3828). Let n = h + 313/957. Solve 1/3*p**2 - p**3 - 2/3 + n*p**4 + p = 0 for p.
-1, 1, 2
Let t(o) be the second derivative of 0 + 26*o - 9/2*o**2 + 2*o**3 - 1/4*o**4. Factor t(c).
-3*(c - 3)*(c - 1)
Let n(q) be the third derivative of -q**8/191520 + q**7/23940 - q**6/6840 + q**5/20 - 8*q**2. Let m(f) be the third derivative of n(f). Factor m(x).
-2*(x - 1)**2/19
Let l(d) be the first derivative of d**5/25 - d**4/4 - 13*d**3/15 - 7*d**2/10 - 758. Determine r so that l(r) = 0.
-1, 0, 7
Let t(c) be the third derivative of -c**7/525 + c**6/75 - c**5/30 + c**4/30 + 22*c**2. Find o such that t(o) = 0.
0, 1, 2
Suppose 0 = 3*u - 5*h - 95, 263 = 7*u - 3*h + 50. Factor 5/2 + u*l**2 - 20*l**3 - 15*l.
-5*(2*l - 1)**3/2
Let y = -6/2573 + 2603/12865. Factor -1/5*a**2 + y*a + 0.
-a*(a - 1)/5
Let j(i) be the second derivative of i**5/180 - 11*i**4/36 + 7*i**3/6 - 31*i**2/18 + 190*i. Determine o, given that j(o) = 0.
1, 31
Let n(r) be the second derivative of 1/30*r**3 + 1/60*r**4 + 6*r - 1/5*r**2 + 0. Factor n(d).
(d - 1)*(d + 2)/5
Suppose -2*h - 11 = -3*h + 2*w, 2*w = -5*h + 43. Let m(v) be the first derivative of 4 + 7*v**2 - 2*v**3 + 0*v + 2 - h*v**2 + 2*v. Factor m(c).
-2*(c + 1)*(3*c - 1)
Determine g, given that -31/2*g**2 + 0 - 29/2*g**4 + 0*g - 1/2*g**5 + 61/2*g**3 = 0.
-31, 0, 1
Let q(i) be the first derivative of -3/20*i**4 + 0*i**3 + 0*i**2 + 0*i + 1/10*i**6 + 11 + 0*i**5. Factor q(u).
3*u**3*(u - 1)*(u + 1)/5
Let q(r) = r**4 + 2*r - 1. Let k(w) = -11*w**4 - 20*w**3 - 25*w**2 - 22*w + 6. Let t(o) = k(o) + 6*q(o). Factor t(n).
-5*n*(n + 1)**2*(n + 2)
Let i(l) be the first derivative of -2*l**3/9 + 14*l**2/3 + 34*l - 375. Factor i(f).
-2*(f - 17)*(f + 3)/3
Let x(t) = -t**3 + 50*t**2. Let c be x(50). Factor c + 1/2*n**2 - n.
n*(n - 2)/2
Let z(b) be the second derivative of -b**9/756 + b**8/420 + b**7/105 - 13*b**3/6 + 2*b. Let g(r) be the second derivative of z(r). Factor g(k).
-4*k**3*(k - 2)*(k + 1)
Let r(q) be the first derivative of -2*q**5/5 - 19*q**4 + 80*q**3 - 122*q**2 + 82*q - 195. Factor r(g).
-2*(g - 1)**3*(g + 41)
Suppose 0 = -l - 8 + 11. Suppose 3*i - i**3 - 2*i**l + 4*i**3 - 4*i**2 - 2 + 2*i = 0. What is i?
1, 2
Determine g so that -696*g + 301*g - 759*g + 14*g**2 + 276*g - 252 = 0.
-2/7, 63
Let o(q) be the first derivative of -q**7/105 - 11*q**6/90 - 13*q**5/30 - 2*q**4/3 - 53*q**3/3 - 4. Let n(p) be the third derivative of o(p). Factor n(d).
-4*(d + 1)*(d + 4)*(2*d + 1)
Let x(v) = v**2 - 10*v - 15. Let k be x(12). Suppose 0 = -k*u - 0*u. Find a, given that -2/11*a**4 + u*a**2 + 0*a - 4/11*a**3 + 0 = 0.
-2, 0
Let y = 2185/946 + -11/86. Let w = 208/55 - y. Solve 0 + w*b - 16/5*b**2 - 2/5*b**4 + 2*b**3 = 0.
0, 1, 2
Suppose 3*a - 18 = -3*m, 0 = -9*m + 6*m + a + 10. Let q(j) be the second derivative of 5*j + 0*j**2 + 1/15*j**3 + 1/60*j**m + 0. Factor q(b).
b*(b + 2)/5
Suppose 9 = -o - 2*r, -5*o + 74 = -r + 53. Factor -8/19*m**2 + 8/19*m + 2/19*m**o + 0.
2*m*(m - 2)**2/19
Let z(t) be the third derivative of t**5/20 - 5*t**4/4 + 8*t**3 + t**2 + 8. Find g, given that z(g) = 0.
2, 8
Let h = 66 + -438/7. Factor -48/7*y**4 - 102/7*y - 132/7*y**3 - h - 6/7*y**5 - 24*y**2.
-6*(y + 1)**4*(y + 4)/7
Suppose 2*g - 2 = -0*g. Let m be (-6)/10*-5*g. Factor m*i**2 + 2*i**3 - 2*i**2 - 4*i**2 + i**3.
3*i**2*(i - 1)
Let g(m) be the third derivative of 0 - 2/5*m**5 + 58*m**2 + 0*m**3 - 2/15*m**7 + 0*m**4 + 0*m - 23/30*m**6. Solve g(v) = 0 for v.
-3, -2/7, 0
Let q(p) be the third derivative of -14*p**2 + 1/105*p**7 + 0*p**5 - 1/3*p**3 + 1/30*p**6 - 1/6*p**4 + 0 + 0*p. Factor q(b).
2*(b - 1)*(b + 1)**3
Factor 0 - 3/5*s**2 + 51/5*s.
-3*s*(s - 17)/5
Let s be (6/2)/((-1)/((-490)/15)). Let l = s - 98. Factor 0*a + l + 0*a**3 + 0*a**2 - 1/8*a**5 - 1/8*a**4.
-a**4*(a + 1)/8
Suppose 3*v = 4*v + 3*v. Let m(w) be the second derivative of 1/30*w**5 + v + 0*w**3 + 0*w**2 + 1/18*w**4 + 8*w. Factor m(b).
2*b**2*(b + 1)/3
Let l = -362 - -366. Let s(d) be the second derivative of 2*d + 0*d**2 + 1/30*d**5 - 1/9*d**3 + 1/90*d**6 - 1/36*d**l + 0. Factor s(c).
c*(c - 1)*(c + 1)*(c + 2)/3
Let v be ((11 - 10)*-1)/((-2)/373). Let s = 187 - v. Solve 0 + 1/2*x**2 + s*x = 0 for x.
-1, 0
Suppose 7*m + 10 = 12*m. Factor 1 + 2*o**5 - 5*o**2 - 1 - m*o**3 + 9*o**2 - 4*o**4.
2*o**2*(o - 2)*(o - 1)*(o + 1)
Let s(a) be the first derivative of -a**4/5 + 8*a**3/3 - 64*a**2/5 + 128*a/5 + 13. Find l such that s(l) = 0.
2, 4
Let v = 658/9 - 3263/45. Suppose v + 1/5*y**2 + 4/5*y = 0. What is y?
-3, -1
Let v = -9 + 19. Suppose 2*q + 2*w - 8 = 3*q, 0 = -2*w + v. What is h in -20*h**3 + 4*h**5 + 133*h**3 + 10*h**4 + 64*h + 22*h**4 + 128*h**q - 17*h**3 = 0?
-2, 0
Determine c, given that c**2 + 5/2*c - 6 = 0.
-4, 3/2
Suppose l + 5*l = 7*l. Let u(r) be the third derivative of -1/8*r**4 + 0*r - 5*r**2 + 1/3*r**3 + 1/60*r**5 + l. Factor u(m).
(m - 2)*(m - 1)
Let w(m) be the first derivative of -m**6/40 - m**5/5 - 5*m**4/8 - m**3 + 11*m**2/2 + 12. Let d(x) be the second derivative of w(x). Factor d(l).
-3*(l + 1)**2*(l + 2)
Let p = 8 + -18. Let a = p + 21/2. Factor 3/2*z**3 + 0*z + a*z**4 + 0 + z**2.
z**2*(z + 1)*(z + 2)/2
Let j = -443/12 + 37. Let h(w) be the third derivative of 6*w**2 + 0*w + 0*w**3 + 0 - 1/60*w**5 - j*w**4. Solve h(m) = 0.
-2, 0
Let d(t) be the second derivative of -t**4/78 - 6*t**3/13 - 81*t**2/13 - 109*t. Factor d(a).
-2*(a + 9)**2/13
Let f(u) be the third derivative of 7/720*u**6 + 0*u**3 + 0 + 0*u - 1/45*u**5 - 1/9*u**4 + 8*u**2 - 1/1260*u**7. Let f(h) = 0. What is h?
-1, 0, 4
Let v(d) be the first derivative of 7*d**6/6 - 141*d**5/20 + 199*d**4/16 - 27*d**3/4 - 11*d**2/8 + 3*d/2 + 49. What is g in v(g) = 0?
-1/4, 2/7, 1, 3
Let l(g) be the third derivative of -g**7/420 + g**6/80 - g**4/12 + 12*g**2 + 6. Suppose l(j) = 0. Calculate j.
-1, 0, 2
Let i(p) = -3*p - 3*p**2 + 6 + p**3 - 18 + 10. Let z be i(4). Factor -4 + 2*k**3 + k**3 + z*k**3 + 12*k - k**3 - 12*k**2.
4*(k - 1)**3
Let t = -1842 + 1845. Solve 5/2*z**4 + 5/2*z + 15/2*z**t + 15/2*z**2 + 0 = 0 for z.
-1, 0
Find r, given that 1/2*r - 5/4*r**2 + 0 - r**4 - 11/4*r**3 = 0.
-2, -1, 0, 1/4
Let b(h) be the third derivative of -h**7/168 + h**6/18 - h**5/6 + 8*h**3/3 - 13*h**2. Let q(g) be the first derivative of b(g). Factor q(l).
-5*l*(l - 2)**2
Let g(o) be the second derivative of -o**7/14 + 7*o**6/30 - o**5/10 + 2*o - 43. Solve g(x) = 0.
0, 1/3, 2
Suppose 3*a = 7 + 5. Let l be (6/a)/((-3)/(-4)). Factor -k**2 + 2*k**2 - 4*k**4 + 6*k**4 + 5*k**l - 6*k**3 - 2*k.
2*k*(k - 1)**3
Let o be -2 - 0/(-4) - -2. Solve 5*y**4 - 2*y**4 + o*y**4 + 0*y**2 - 3*y**2 = 0 for y.
-1, 0, 1
Suppose 12*t - 59 = 1. Let q(b) be the first derivative of -1 + 0*b**2 - 2*b - 2/5*b**t + 0*b**4 + 4/3*b**3. What is v in q(v) = 0?
-1, 1
Solve -3*u**3 - 889*u**2 + 93*u + 12 + 913*u**2 + 56 - 2 = 0.
-2, -1, 11
Let s(n) be the second derivative of -n**5/210 - n**4/42 + n**3/63 + n**2/7 - n - 6. Factor s(u).
-2*(u - 1)*(u + 1)*(u + 3)/21
Let s = -564 + 42301/75. Let g(d) be the second derivative of -s*d**6 - 1/5*d**2 + 0*d**3 + 1/15*d**4 + 6*d + 0 + 0*d**5. Determine j, given that g(j) = 0.
-1, 1
Let w(p) be the third derivative of p**5/180 - p**4/8 + 4*p**3/9 + 40*p**2. Factor w(h).
(h - 8)*(h - 1)/3
Let u(z) be the first derivative of -z**7/3360 + z**6/360 - z**5/96 + z**4/48 + 20*z**3/3 + 23. L