2 + w**3 + 1/5 - w = 0. Calculate w.
-1, 1/4, 1
Let p(h) be the third derivative of -h**6/600 - h**5/100 - h**4/60 - 89*h**2. Factor p(r).
-r*(r + 1)*(r + 2)/5
Let z(l) be the first derivative of -1/63*l**6 + 0*l**2 + 0*l**3 + 0*l + 0*l**4 - 11 + 0*l**5. What is f in z(f) = 0?
0
Let v(r) be the first derivative of -3*r**5/5 + 22*r**3 - 36*r**2 - 135*r + 24. Factor v(a).
-3*(a - 3)**2*(a + 1)*(a + 5)
Factor 2/3*g**3 + 0 + 14/3*g**2 + 4*g.
2*g*(g + 1)*(g + 6)/3
Determine f so that 0*f**3 + 9/2*f**2 - 1/4*f**4 + 15/4 + 8*f = 0.
-3, -1, 5
Solve -8/17 - 6/17*u**2 - 16/17*u + 2/17*u**4 + 4/17*u**3 = 0 for u.
-2, -1, 2
Let o be (0/(-186))/((-4)/(-2)). Factor -3/7*u**3 + o + 3/7*u**2 + 6/7*u.
-3*u*(u - 2)*(u + 1)/7
Let x(r) be the second derivative of -5*r**4/6 + 5*r**3/2 - 5*r**2/2 - 2*r. Let l(i) = -15*i**2 + 22*i - 8. Let c(g) = 5*l(g) - 8*x(g). Factor c(k).
5*k*(k - 2)
Let m(g) be the first derivative of -3*g**4/4 + 3*g**3 + 3*g**2/2 - 9*g - 173. Factor m(l).
-3*(l - 3)*(l - 1)*(l + 1)
Suppose b - 16 + 22 = -5*o, -3*o - 6 = 0. Let 0 + 2/3*n**2 - 2/3*n**b - 4/3*n**3 + 4/3*n = 0. What is n?
-2, -1, 0, 1
Let x be 15*(10 + -7)/9. Let v(t) be the third derivative of 1/12*t**3 + 0*t**4 + 0 + 0*t - 1/120*t**x - 4*t**2. Factor v(q).
-(q - 1)*(q + 1)/2
Find p, given that 208 - 38 + 165*p - 8*p**2 + 3*p**2 = 0.
-1, 34
Let g be (-72)/(-60)*(-4 - 1) - -8. Factor -2/11*u**g - 4/11*u**3 + 0*u - 2/11*u**4 + 0.
-2*u**2*(u + 1)**2/11
Let z = -707/6 + 332/3. Let u = 47/6 + z. Let 0 + u*d + 0*d**2 - 2/3*d**3 = 0. Calculate d.
-1, 0, 1
Let h(g) be the second derivative of 44*g**7/21 - 38*g**6/15 - 3*g**5/5 - 595*g. Factor h(x).
4*x**3*(x - 1)*(22*x + 3)
Let o be -214*7/(-980) + 6/(-4). Let g(u) be the third derivative of 0*u + 0*u**5 + 3*u**2 - 1/40*u**6 - 1/112*u**8 + 0*u**4 - o*u**7 + 0 + 0*u**3. Factor g(f).
-3*f**3*(f + 1)**2
Let a(t) be the third derivative of 4*t**3 + 1/3*t**4 + 0*t + 0 - 1/10*t**6 - 37*t**2 - 3/10*t**5 - 1/105*t**7. Factor a(y).
-2*(y - 1)*(y + 2)**2*(y + 3)
Let x(a) be the third derivative of a**7/504 - 17*a**6/720 + a**5/20 + a**4/12 + 6*a**2. Let l(r) be the second derivative of x(r). Factor l(u).
(u - 3)*(5*u - 2)
Let w(o) be the second derivative of -o**5/180 + o**4/72 + 8*o**2 - 15*o. Let t(i) be the first derivative of w(i). Solve t(m) = 0.
0, 1
Let i(f) = -2*f**4 - f**3 + f**2 - f. Let v(q) = -23*q**4 - 9*q**3 + 12*q**2 - 13*q. Let s(r) = -22*i(r) + 2*v(r). Factor s(p).
-2*p*(p - 2)*(p - 1)*(p + 1)
Let r(q) be the third derivative of q**5/60 + q**4/12 + 2*q**2 - 1. Factor r(g).
g*(g + 2)
Let u(k) be the second derivative of -2*k + 1/30*k**6 + 22 + 2/3*k**3 - 1/20*k**5 + 4*k**2 - 1/2*k**4. Suppose u(x) = 0. Calculate x.
-2, -1, 2
Let h(b) be the first derivative of -b**4/7 - 16*b**3/21 - 2*b**2/7 + 24*b/7 - 48. Solve h(i) = 0 for i.
-3, -2, 1
Suppose -4*j = 3*n - n - 8, 2*j - 4 = n. Find z, given that -3/4*z**j + 0 - 3/4*z = 0.
-1, 0
Suppose 6*z = r + z - 59, 2 = 2*z. Factor -6*k**3 - r*k**2 + 3*k**5 + 40*k**2 + 0*k**4 - 6 - 21*k + 6*k**4.
3*(k - 2)*(k + 1)**4
Let z be (18/27)/((-2)/3)*-7. Solve -4*n + 16*n + n - 20 + z*n - 5*n**2 = 0.
2
Let s(i) be the third derivative of -i**7/350 - 17*i**6/200 + 37*i**5/100 - 19*i**4/40 + 59*i**2. Factor s(j).
-3*j*(j - 1)**2*(j + 19)/5
Let l(x) be the third derivative of 0*x**3 - 7/90*x**5 + 1/18*x**4 + 2/45*x**6 + 0 - 1/105*x**7 + 0*x - 3*x**2. Factor l(g).
-2*g*(g - 1)**2*(3*g - 2)/3
Determine r, given that -6*r**2 + 50/9*r**4 + 4/9 + 46/9*r**3 - 46/9*r = 0.
-1, 2/25, 1
Suppose 3*n + 50 = -m, 0 = 5*m + 4*n - 0*n + 272. Let f = -52 - m. Find p such that -1/3*p**2 + 7/3*p**f + 2/3*p**3 + 4/3*p**5 + 0*p + 0 = 0.
-1, 0, 1/4
Let b be (2/5)/(7/10). Suppose 0 = -50*x + 57*x - 14. Solve -8/7*y**x - 2/7*y + 0 - 10/7*y**3 - b*y**4 = 0.
-1, -1/2, 0
Let j = -11067 + 143885/13. Solve 12/13 + 2/13*u**3 + 0*u**2 - j*u = 0 for u.
-3, 1, 2
Determine v so that 10/13*v**4 + 4/13*v**3 - 2/13*v - 2/13*v**5 - 20/13*v**2 + 10/13 = 0.
-1, 1, 5
Let y(l) = 14*l**2 - 868*l + 13432. Let z(q) = 2*q**2 - 124*q + 1919. Let v(p) = 6*y(p) - 44*z(p). Factor v(n).
-4*(n - 31)**2
Let z(j) be the second derivative of j**7/168 - j**5/24 - 4*j**3/3 - 5*j. Let u(a) be the second derivative of z(a). Factor u(t).
5*t*(t - 1)*(t + 1)
Let o(j) = 105*j - 2517. Let x be o(24). What is f in 0*f**2 + 6/5*f + 4/5 - 2/5*f**x = 0?
-1, 2
Let l(z) be the third derivative of z**6/120 - 5*z**4/24 - 2*z**3/3 - 18*z**2. Let i(t) = t**3 - t**2 - 5*t - 3. Let r(x) = 2*i(x) - 3*l(x). Solve r(g) = 0.
-3, -1, 2
Suppose -28*w = 71*w. Let q(b) be the second derivative of 1/30*b**6 + 0*b**3 + 0 - b + w*b**2 + 0*b**4 - 1/20*b**5 - 1/168*b**7. Factor q(m).
-m**3*(m - 2)**2/4
Let w(d) be the third derivative of -5/42*d**7 - 4*d**2 + 0 + 55/24*d**4 + 17/24*d**6 + 0*d - 7/4*d**5 - 5/3*d**3. Determine a so that w(a) = 0.
2/5, 1
Let n = -6385 - -31927/5. Factor 2/15*p**4 + 0 + 0*p + 4/15*p**2 + n*p**3.
2*p**2*(p + 1)*(p + 2)/15
Let t(o) be the second derivative of o**4/24 - 5*o**3/6 + 25*o**2/4 + o - 2. Suppose t(m) = 0. Calculate m.
5
Suppose -3*n + 925 = 2*n. Factor 65*v - 243 - n*v**2 - 81*v + 23*v**2 - 3*v**4 + 36*v**3 + 340*v.
-3*(v - 3)**4
Let m(w) = 6*w**3 - 195*w**2 - 2112*w - 1931. Let x(c) = -4*c**3 + 99*c**2 + 1056*c + 965. Let y(k) = 3*m(k) + 5*x(k). Determine t, given that y(t) = 0.
-22, -1
Let f = 841 + -12613/15. Let o(g) be the third derivative of 1/150*g**5 + f*g**4 + 2*g**2 + 0*g + 16/15*g**3 + 0. Suppose o(d) = 0. What is d?
-4
Let n(r) be the first derivative of -r**4/6 + 20*r**3/9 - 29*r**2/3 + 40*r/3 - 673. What is a in n(a) = 0?
1, 4, 5
Let a(m) be the second derivative of -m**5/170 + 37*m**4/102 - 19*m**3/3 - 361*m**2/17 - 2*m - 88. Suppose a(z) = 0. Calculate z.
-1, 19
Let l(r) be the first derivative of r**2 + 0*r + 4/9*r**3 - 10 - 1/6*r**4. Determine b so that l(b) = 0.
-1, 0, 3
Let w be (-3)/(-9) + 14/(-48). Let h(d) be the second derivative of -1/2*d**2 + 0 - 1/12*d**3 - 4*d + w*d**4. Find s, given that h(s) = 0.
-1, 2
Let o be 6/(-70) + (-4)/(-14). Factor -1/5*k**2 + 0*k + o.
-(k - 1)*(k + 1)/5
Let b(d) = 23*d**3 + 45*d**2 - 44*d - 30. Let m(q) = 116*q**3 + 224*q**2 - 220*q - 152. Let l(c) = 16*b(c) - 3*m(c). Factor l(z).
4*(z - 1)*(z + 3)*(5*z + 2)
Let g(h) be the first derivative of -3/10*h**4 - 45 + 0*h + 3/5*h**2 - 2/15*h**3 + 2/25*h**5. Determine n so that g(n) = 0.
-1, 0, 1, 3
Let f(a) be the second derivative of -a**7/63 + a**6/30 - a**5/60 + 5*a. Find d such that f(d) = 0.
0, 1/2, 1
Suppose v + 3 = 2*f + 2, f - v = -2. Let a = 19 + -11. Factor 25*o - 15*o**2 - f - a*o + o.
-3*(o - 1)*(5*o - 1)
Let o(j) be the first derivative of -j**6/11 + 26*j**5/55 - 19*j**4/22 + 2*j**3/3 - 2*j**2/11 + 50. Find h, given that o(h) = 0.
0, 1/3, 1, 2
Let q(a) be the second derivative of 0 - 39*a - 2/5*a**2 + 1/10*a**3 + 1/60*a**4. Factor q(y).
(y - 1)*(y + 4)/5
Let -673/7*c**3 + 0 - 16/7*c**5 + 300/7*c**2 - 36/7*c + 200/7*c**4 = 0. Calculate c.
0, 1/4, 6
Let n be (-5)/(-1)*(524/(-80) - -7). Suppose 3/8*w**4 - 3/2*w**3 + 0 + 3/8*w**2 + n*w = 0. Calculate w.
-1, 0, 2, 3
Suppose -m - 38 = -26. Let z be 6/4*(-16)/m. Factor 0*y + 0 + 3/4*y**4 + 0*y**3 - 3/4*y**z.
3*y**2*(y - 1)*(y + 1)/4
Let d(p) = -p**3 + 7*p**2 + 6*p + 19. Let x be d(8). Let 16*t**2 - 7*t + 2*t**x - 9*t - 14*t**2 - 24 = 0. What is t?
-2, 3
Let a(k) be the first derivative of -k**4/4 + 4*k**3 - 21*k**2/2 + 10*k + 435. Solve a(z) = 0.
1, 10
Let w(f) = 200*f**3 - 615*f**2 + 1035*f. Let n(q) = -9*q**3 + 28*q**2 - 47*q. Let j(x) = -45*n(x) - 2*w(x). Factor j(c).
5*c*(c - 3)**2
Let k(q) be the first derivative of 2*q**3/3 - 5*q**2 + 8*q + 465. Factor k(w).
2*(w - 4)*(w - 1)
Suppose -775 = -5*n - 1940. Let j = -231 - n. Find w, given that -4/5*w + 6/5 - 2/5*w**j = 0.
-3, 1
Let g(z) be the third derivative of 16/3*z**3 + 0 + 2/3*z**4 - 26/15*z**5 + 16/35*z**7 + 11*z**2 - 3/28*z**8 - 1/30*z**6 + 0*z. Let g(o) = 0. What is o?
-2/3, 1, 2
Let u = 118 - 119. Let g be 146/65 + ((-4)/26)/u. Determine q so that -16/5*q - g - 4/5*q**2 = 0.
-3, -1
Let m be (-3 - -1 - -12) + (9 - 11). Let r be (-1)/(-6) + (-2 - (-20)/m). Factor -2/9*h**2 + r + 4/9*h.
-2*(h - 3)*(h + 1)/9
Let x(o) be the third derivative of 0*o**4 - 1/40*o**6 + 0*o**3 + 0 + 0*o - 1/210*o**7 - 1/30*o**5 - 13*o**2. Factor x(g).
-g**2*