third derivative of q(l). Factor a(v).
3*v*(v - 2)*(v - 1)**2
Let j = 17 + -22. Let a be (5/3)/(j/(-6)). Determine h so that -5*h**2 + 4 - h**3 - 4*h + 5*h**3 - a*h**2 + 3*h**2 = 0.
-1, 1
Let r(x) be the second derivative of 0*x**2 - 33*x + 0*x**3 + 0 + 1/30*x**6 - 1/12*x**4 + 1/20*x**5 - 1/42*x**7. Factor r(o).
-o**2*(o - 1)**2*(o + 1)
Let b = 368/945 - -2/189. Let z(r) = -3*r**2 - 58*r. Let h be z(0). Suppose -b*p**4 + h*p**2 + 0 - 1/5*p**3 - 1/5*p**5 + 0*p = 0. Calculate p.
-1, 0
Let o(g) be the first derivative of 1/20*g**4 + 4/15*g**3 + 2/5*g + 1/2*g**2 - 33. Factor o(h).
(h + 1)**2*(h + 2)/5
Let d be (1*3)/((-564)/(-376)). Factor 4/3*k + 1/3 + 4/3*k**3 + 1/3*k**4 + 2*k**d.
(k + 1)**4/3
Let j(a) be the third derivative of 13*a**8/280 + 43*a**7/350 - 7*a**6/200 - 41*a**5/100 - 19*a**4/40 - a**3/5 + 6*a**2 + a. Suppose j(t) = 0. Calculate t.
-1, -1/2, -2/13, 1
Let m(i) be the third derivative of 0 - 1/15*i**5 + 0*i**3 + 0*i - 13*i**2 + 1/4*i**4 + 1/180*i**6. Let m(u) = 0. What is u?
0, 3
Let u(t) be the second derivative of t**8/5376 + t**7/1440 - t**6/360 - t**5/120 - 35*t**4/12 - 15*t. Let v(m) be the third derivative of u(m). Factor v(b).
(b - 1)*(b + 2)*(5*b + 2)/4
Let k(o) = 7*o**3 + 4*o**2 - 13*o + 6. Let b = -27 + 24. Let y(c) = -6*c**3 - 3*c**2 + 12*c - 6. Let r(n) = b*k(n) - 4*y(n). Solve r(z) = 0 for z.
-2, 1
Let f(n) = -5*n - 65. Let k be f(-7). Let x be (-8*(-1)/36)/((-4)/k). Let -2/3*o + 0 + 5/3*o**3 + 5/3*o**2 - x*o**4 - o**5 = 0. What is o?
-2, -1, 0, 1/3, 1
Suppose -5*c - d = -80, 0 = -2*c - 0*c + 3*d + 32. Suppose -1 + c = 5*w. Determine v, given that -1/2*v**2 + 1/4*v**w + 1/2 - 1/4*v = 0.
-1, 1, 2
Let d be (-138)/184 - 6/(-8). What is h in -8/7*h**2 + 0*h + d + 8/7*h**3 + 2/7*h**4 - 2/7*h**5 = 0?
-2, 0, 1, 2
Let j(m) be the first derivative of 1/9*m**3 - 7 + 0*m - 1/24*m**4 + 0*m**2. Factor j(u).
-u**2*(u - 2)/6
Let p be -2 + (2 - -3) + -2. Suppose 4*q = 3 + p. Determine n so that -q + 4*n**2 + 6 + 10*n + 4*n**2 - 3*n**2 = 0.
-1
Let g(a) be the first derivative of 20*a**3/21 - a**2/7 - 22*a/7 + 301. Suppose g(o) = 0. Calculate o.
-1, 11/10
Let w(m) = -45035*m**4 + 13535*m**3 - 1315*m**2 + 115*m + 35. Let x(y) = 5004*y**4 - 1504*y**3 + 146*y**2 - 13*y - 4. Let d(k) = 4*w(k) + 35*x(k). Factor d(o).
-5*o*(10*o - 1)**3
Suppose 2*h - 96 = 5*a - 88, 4*a - 3*h + 12 = 0. Let c be 6/(-4)*5/(-15). Suppose 1/2*q + a - c*q**2 - 1/2*q**3 + 1/2*q**4 = 0. Calculate q.
-1, 0, 1
Let c = -89 - -91. Let k(l) be the third derivative of 0*l + 0*l**3 - 1/105*l**7 - 1/30*l**5 + c*l**2 + 1/30*l**6 + 0*l**4 + 0. Factor k(f).
-2*f**2*(f - 1)**2
Let o(r) be the third derivative of 0 + 0*r**3 - 1/192*r**4 + 0*r - 1/480*r**5 - 18*r**2. Suppose o(b) = 0. What is b?
-1, 0
Let x = -30 + 48. Let 0*g - 3*g + 34*g**2 - x*g**3 + g - 19*g**2 - g**4 + 6*g**5 = 0. What is g?
-2, 0, 1/6, 1
Let a(r) be the first derivative of -r**4/78 - 2*r**3/39 - r**2/13 + r - 10. Let x(u) be the first derivative of a(u). What is j in x(j) = 0?
-1
Let o be ((-26)/(-14) + -1)*7. Let z be (-12)/(2 + 2) + o. Solve z + 6*t**3 + 0 - 3 - 3 + 3*t**4 - 6*t = 0 for t.
-1, 1
Let q = -859/90 - -452/45. Factor -g - q*g**2 - 1/2.
-(g + 1)**2/2
Let b = -15 - -22. Suppose 0 = -b*m + 2*m + 60. Suppose 0*v**4 - 18*v**3 + m*v**3 + 6*v + 3*v**4 - 3 = 0. Calculate v.
-1, 1
Suppose 3*i + 33 - 42 = 0. Factor 10*t**i - 11*t - 22*t - 12*t**2 - 13 - 7*t**3 - 5.
3*(t - 6)*(t + 1)**2
Let l(r) be the second derivative of r**4/15 + 46*r**3/15 - 20*r**2 + 245*r. Factor l(j).
4*(j - 2)*(j + 25)/5
Let v(h) be the third derivative of -14*h**2 + 8/21*h**4 - 1/1176*h**8 + 1/147*h**7 - 1/105*h**6 - 16/21*h**3 + 0*h + 0 - 8/105*h**5. Let v(z) = 0. What is z?
-2, 1, 2
Suppose 5*q + 2 = -n - 0, -8 = n + 2*q. Let d be 3 - -4*3/n. Factor 3/5*s + 0 + 0*s**3 + 6/5*s**4 - 3/5*s**5 - 6/5*s**d.
-3*s*(s - 1)**3*(s + 1)/5
Factor 0 + 49/2*s**4 + 2*s - 12*s**2 + 21/2*s**3.
s*(s + 1)*(7*s - 2)**2/2
Let o be 1 + (-4 - 12/(-2)). Find h, given that -3*h**3 - o*h**5 + h**5 - 3*h**2 + 3*h**4 + 5*h**5 = 0.
-1, 0, 1
Let h(c) be the first derivative of -2/21*c**3 + 0*c**2 - 1/42*c**4 + 1 + 4*c. Let p(x) be the first derivative of h(x). Factor p(b).
-2*b*(b + 2)/7
Let r(w) be the first derivative of w**4/14 - 10*w**3/7 + 27*w**2/7 + 486*w/7 + 167. Find d such that r(d) = 0.
-3, 9
Let y(u) be the first derivative of -11*u**5/20 + 47*u**4/16 - u**3 + 308. Determine x, given that y(x) = 0.
0, 3/11, 4
Let s(f) be the third derivative of 7/6*f**3 + 1/90*f**6 + 0*f - 3*f**2 + 0*f**4 + 0 - 1/15*f**5. Let r(g) be the first derivative of s(g). Factor r(i).
4*i*(i - 2)
Factor 55/2 + 5/4*x**2 + 65/4*x.
5*(x + 2)*(x + 11)/4
Let o be 123/24*1 + 68/(-17). Let n(j) be the second derivative of 0 + 5*j - 81/4*j**2 + 27/4*j**3 - o*j**4 + 3/40*j**5. Factor n(v).
3*(v - 3)**3/2
Suppose 11 + 10 = 2*y - 5*o, y - 4*o = 15. Factor -3*t - t**y - 5 + 5 - 2*t**3 + 6*t**2.
-3*t*(t - 1)**2
Suppose 3*a - 25 + 70 = 0. Let n = -11 - a. Factor -3*l + 5*l**2 + n*l**3 - 4*l**4 - l - l**2.
-4*l*(l - 1)**2*(l + 1)
Let x(r) be the second derivative of -r**5/5 - r**4/3 + 16*r**3/3 + 24*r**2 + 21*r - 1. Factor x(k).
-4*(k - 3)*(k + 2)**2
Let a(z) = -z**3 - 27*z**2 - 25*z + 44. Let s be a(-26). Suppose -13*v - 10 = -s*v. Determine u, given that -3/2*u + 0 + 3/2*u**v = 0.
0, 1
Let u(k) be the second derivative of -k**6/840 + k**5/280 + k**4/28 + 4*k**3/3 + k. Let n(a) be the second derivative of u(a). Find v such that n(v) = 0.
-1, 2
Let r(u) = -u**3 + 3*u**2 + u - 3. Let k be r(2). Determine m, given that -72*m + 11*m**4 + 173*m**3 - 90*m**2 - 2*m**4 - 197*m**k - 15 = 0.
-1, -1/3, 5
Let g(t) be the first derivative of t**4/4 - 8*t**3 + 45*t**2/2 - 22*t - 107. Let g(m) = 0. Calculate m.
1, 22
Let a(l) be the first derivative of 2/75*l**5 + 4/45*l**3 + 0*l + 1/10*l**4 + 0*l**2 + 45. Suppose a(u) = 0. Calculate u.
-2, -1, 0
Suppose -44*a - 136*a + 78*a + 204 = 0. Factor 4752/5*f**a + 162/5 + 6528/5*f**3 + 1458/5*f + 3072/5*f**4.
6*(f + 1)*(8*f + 3)**3/5
Let i(c) be the third derivative of c**6/96 - c**5/30 + c**4/96 + c**3/12 - 2*c**2 - 6. Factor i(u).
(u - 1)**2*(5*u + 2)/4
Let i(s) = -5*s**2 - 4*s - 5. Let u(b) = -4*b**2 - 4*b - 4. Let v(z) = -6*i(z) + 7*u(z). Solve v(h) = 0.
1
Let h = -5 - -8. Let v(s) = 4*s**3 + s**2 + 3*s + 3. Let m(a) = -11*a**3 - 2*a**2 - 8*a - 8. Let j(g) = h*m(g) + 8*v(g). Factor j(p).
-p**2*(p - 2)
Let q be 6/10*(-210)/(-315). Let n be ((-3)/(-5))/((-3)/(-2)). Suppose q*a**2 - 4/5*a + n = 0. Calculate a.
1
Let d(r) be the third derivative of -r**7/2625 - 17*r**6/375 - 611*r**5/375 - 187*r**4/25 - 363*r**3/25 - 158*r**2. Solve d(b) = 0 for b.
-33, -1
Let o(s) = s**3 - 56*s**2 + 622*s - 285. Let n be o(41). Factor -2*g + 0 + 7/3*g**n - 1/3*g**3.
-g*(g - 6)*(g - 1)/3
Let a be -3*((-595)/15 - 4). Let y = -127 + a. Solve 4/5 + 16/5*r**2 - y*r = 0.
1/4, 1
Solve 25/2*i + 0 - 5*i**2 = 0.
0, 5/2
Let r(v) be the third derivative of v**7/504 + v**6/9 + 8*v**5/3 - 5*v**4/8 - 3*v**2. Let u(f) be the second derivative of r(f). Factor u(t).
5*(t + 8)**2
Let f = 2/71 + 63/284. Let r(n) be the first derivative of -8 - 1/16*n**4 - 1/4*n**2 + f*n**3 + 0*n. Suppose r(t) = 0. Calculate t.
0, 1, 2
Let x(i) be the second derivative of -2*i - 1/33*i**4 + 0 + 0*i**2 - 1/33*i**3 - 1/110*i**5. Factor x(g).
-2*g*(g + 1)**2/11
Let o(w) be the second derivative of -w**8/504 + w**7/315 + w**6/180 - w**5/90 - 15*w**2/2 - 8*w. Let r(u) be the first derivative of o(u). Factor r(a).
-2*a**2*(a - 1)**2*(a + 1)/3
Let o(w) be the third derivative of w**5/60 - w**4/24 + 175*w**2. Suppose o(l) = 0. Calculate l.
0, 1
Find j, given that 13*j - 718 + 268 + 15*j + 32*j - 2*j**2 = 0.
15
Let g(r) be the first derivative of -r**4/22 - 8*r**3/33 + 135. Factor g(v).
-2*v**2*(v + 4)/11
Factor 4*s**3 - 7/3*s - 5 + 20/3*s**2.
(s + 1)*(2*s + 3)*(6*s - 5)/3
Find p, given that -24/7*p**2 - 4/7*p**4 + 0 - 20/7*p**3 + 0*p = 0.
-3, -2, 0
Let j = 471 + -4238/9. Let o(k) be the first derivative of 0*k + 1/6*k**2 + 6 + j*k**3. Factor o(d).
d*(d + 1)/3
Suppose -19*l = -18*l. Let n be 1*-2*(l - 6/4). Factor 0*p**n + 2/3*p**5 + 0*p + 0*p**2 + 0 + 2/3*p**4.
2*p**4*(p + 1)/3
Let t(c) be the third derivative of c**6/1080 - c**5/360 + c**3/6 - 13*c**2. Let q(x) be the first derivative of t(x). Factor q(i).
i*(i - 