0*x + 0 - 5/24*x**4 + 0*x**3 - 1/14*x**7. Find u, given that y(u) = 0.
-1/3, 0, 1
Suppose -26*n = 360 - 360. Determine a, given that 3/2*a**4 + 0 + 3/2*a**3 + 0*a**2 + n*a = 0.
-1, 0
Let b(m) = 181*m**2 + 688*m - 42. Let h(i) = 184*i**2 + 687*i - 43. Let o(u) = 3*b(u) - 2*h(u). Let o(f) = 0. What is f?
-4, 2/35
Let m(j) = -5*j**3 - j**2 - 4*j - 4. Let g(c) be the third derivative of -c**6/20 - c**4/6 - 5*c**3/6 - 11*c**2. Let d(p) = -4*g(p) + 5*m(p). Solve d(r) = 0.
-4, -1, 0
Factor 24/7*j + 4/7*j**2 - 64/7.
4*(j - 2)*(j + 8)/7
Let b be ((-4)/(20/9))/((-36)/1800*70). Factor -12/7 + 3/7*v**4 + 12/7*v**3 - 12/7*v + b*v**2.
3*(v - 1)*(v + 1)*(v + 2)**2/7
Let r(k) be the first derivative of -k**4/4 - 4*k**3 + 13*k**2/2 + 79. What is f in r(f) = 0?
-13, 0, 1
Let j = -9 - -13. Suppose 147*x - 56*x**2 - 13*x - 36*x**3 - 32 + 5*x**4 + 10*x + 11*x**j = 0. Calculate x.
-2, 1/4, 2
Suppose 130 = -5*w + 130. Let s(d) be the third derivative of 2*d**2 + 0 + w*d**4 + 1/84*d**8 + 0*d**7 - 1/30*d**6 + 0*d + 0*d**5 + 0*d**3. Factor s(r).
4*r**3*(r - 1)*(r + 1)
Let h be 209/38 + 2/4. Let i(t) = 3*t**2 - 18*t + 3. Let k be i(h). Solve 0 + 1/2*u + 1/2*u**4 + 3/2*u**2 + 3/2*u**k = 0 for u.
-1, 0
Let 12/7*a**3 + 6/7*a - 15/7*a**2 - 3/7*a**4 + 0 = 0. Calculate a.
0, 1, 2
Suppose 0 = -i - 4 + 12. Suppose -i = 4*f + 4*d, f = -3*d + 4*d + 2. Factor 0*l**2 - 2/9*l**4 + 0*l - 2/9*l**3 + f.
-2*l**3*(l + 1)/9
Solve 0*p - 3/4*p**3 - 1/2*p**2 - 1/4*p**4 + 0 = 0 for p.
-2, -1, 0
Let d(n) be the second derivative of 0 - 16*n - 1/6*n**3 + n**2 - 1/12*n**4. Suppose d(r) = 0. Calculate r.
-2, 1
Let j be 4/(8/146) - (-1)/(-1). What is n in -2*n**4 - 34 - 183*n**2 - j*n + 2 + 127*n**2 - 18*n**3 = 0?
-4, -2, -1
Let s = -101 + 116. Factor -3*u - 11*u**2 - 2*u**2 + 6 - 5*u**2 + s*u**2.
-3*(u - 1)*(u + 2)
Let q(s) be the first derivative of s**2 - 12 - s - 1/3*s**3. Factor q(n).
-(n - 1)**2
Suppose -8*q - 4*u = -4*q - 4, 4*u = -4. Factor 4/3*p + 0 - 8/3*p**3 - 2*p**4 + 2/3*p**q.
-2*p*(p + 1)**2*(3*p - 2)/3
Factor 20 - 2*u - 2/5*u**2.
-2*(u - 5)*(u + 10)/5
Suppose 5 = -d + 14. Solve 19*x**3 - 4 + 4 - 3*x + d*x**2 - 7*x**3 = 0.
-1, 0, 1/4
Let t = 19117987/13 - 1469782. Let a = t + -831. Factor 4/13*l**3 + 14/13*l**5 + 0*l**2 + a*l**4 + 0*l + 0.
2*l**3*(l + 1)*(7*l + 2)/13
Let g(w) be the second derivative of 3/100*w**5 + 9/10*w**2 + 0 + 7/10*w**3 + 1/4*w**4 - 15*w. Factor g(d).
3*(d + 1)**2*(d + 3)/5
Let a(n) = 5*n**2 + 72*n + 325. Let g(m) = m**2 + 1. Suppose -17*t + 14 + 3 = 0. Let q(c) = t*a(c) - g(c). Find l such that q(l) = 0.
-9
Let u(b) be the first derivative of b**6/6 - 8*b**5/5 + 9*b**4/4 + 22*b**3/3 - 10*b**2 - 24*b + 38. Find j such that u(j) = 0.
-1, 2, 6
Let -54*r - 146*r - 60*r - 2653*r**2 + 2651*r**2 = 0. Calculate r.
-130, 0
Let t(j) be the second derivative of 5/36*j**4 + 0 + 0*j**2 + 0*j**3 - 12*j - 1/6*j**5 + 1/18*j**6. Factor t(a).
5*a**2*(a - 1)**2/3
Let q(n) be the third derivative of n**8/5040 - n**7/630 + n**6/180 - n**5/5 + 25*n**2. Let c(z) be the third derivative of q(z). Solve c(r) = 0.
1
Let k(u) = 3*u**5 - 6*u**4 - 14*u**3 - 20*u**2 - 5*u + 6. Let m(b) = -7*b**5 + 12*b**4 + 28*b**3 + 41*b**2 + 9*b - 14. Let o(g) = -9*k(g) - 4*m(g). Factor o(j).
(j + 1)**4*(j + 2)
Factor 2*x**2 + 46*x**2 + x**3 - 60 - 3*x**3 - 10*x**2 - 14*x**2 - 34*x.
-2*(x - 10)*(x - 3)*(x + 1)
Let r(g) be the first derivative of -1/4*g**3 + 3/32*g**4 + 0*g + 0*g**2 + 3/40*g**5 + 21. Suppose r(t) = 0. What is t?
-2, 0, 1
Let h = -352 - -226. Let k be (-4)/(-3)*h/(-56). Factor 1/5*w**k + 3*w - 9/5 - 7/5*w**2.
(w - 3)**2*(w - 1)/5
Let k(l) = -l**2 - 7*l - 6. Let f(d) = -3*d**2 - 13*d - 11. Let h(v) = -2*f(v) + 5*k(v). Let s be h(10). Factor -3*z**s + 4*z - 5*z**2 - 4*z**3 + 2*z**2.
-2*z*(z + 2)*(2*z - 1)
Let d(l) be the third derivative of l**6/240 + l**5/10 - 13*l**4/48 - 520*l**2. Factor d(v).
v*(v - 1)*(v + 13)/2
Let a(q) be the third derivative of q**9/37800 - q**7/2100 - q**6/900 + 25*q**4/24 + q**2 - 43*q. Let r(x) be the second derivative of a(x). Factor r(i).
2*i*(i - 2)*(i + 1)**2/5
Let u = -652/5 + 2853/20. Let h = u - 12. Let -h*s**4 + 0*s**3 + 0*s + 1/4*s**2 + 0 = 0. What is s?
-1, 0, 1
Let b(f) be the first derivative of 3*f**4/4 - 35*f**3 - 433. Determine u so that b(u) = 0.
0, 35
Suppose 2*i - 17*i = -60. Determine p, given that -2/15*p**5 + 0*p**2 + 0*p + 0 + 4/15*p**i - 2/15*p**3 = 0.
0, 1
Let x(z) = 2*z + 1. Let j(v) = -v**2 - 5*v + 24. Let t(u) = -j(u) + 6*x(u). Determine q so that t(q) = 0.
-18, 1
Let c(o) = -o**3 - 3*o**2 + 2. Let m be c(-3). Suppose -m*a - 1 = 3*l - 0*a, 0 = l + 2*a + 7. Factor -6*z**4 - 6*z**2 - 4*z + z**2 + 11*z**2 + 4*z**l.
-2*z*(z - 1)*(z + 1)*(3*z - 2)
Let r(y) = y - 15. Let l be r(21). Factor -32 - 2*x + 23*x - l*x - 7*x + 4*x**2.
4*(x - 2)*(x + 4)
Let r = 33961 + -33959. Factor 2*v + 1/2*v**r - 5/2.
(v - 1)*(v + 5)/2
Let k(p) = -9*p**2 + 2*p + 12. Let u(v) = -8*v**2 + 3*v + 11. Let j(h) = -3*k(h) + 4*u(h). Determine d, given that j(d) = 0.
-4/5, 2
Let o(b) = -b**3 + 6*b**2 - b + 3. Let d be o(6). Let g be 9 - 1 - (6 + d). Factor 2*u**2 - g*u**3 + u + 3 - 5 + 3*u**3 + u.
-2*(u - 1)**2*(u + 1)
Let f(u) be the second derivative of -5*u**4/12 - 65*u**3/3 - 845*u**2/2 + 2*u + 29. What is k in f(k) = 0?
-13
Suppose 2/5*n**5 - 68/5*n**2 + 712/15*n + 64/15*n**4 - 208/15 - 202/15*n**3 = 0. Calculate n.
-13, -2, 1/3, 2
Let t(w) = w**3 + w**2 + w. Let i(h) be the third derivative of h**6/30 + 13*h**5/60 + 7*h**4/6 - 8*h**2. Let d(q) = -i(q) + 3*t(q). Factor d(l).
-l*(l + 5)**2
Let u be ((-1)/5)/((-504)/20). Let p(m) be the second derivative of -u*m**7 + 7/18*m**3 - 1/45*m**6 + 1/3*m**2 + 2/9*m**4 + 1/30*m**5 + 0 + 4*m. Factor p(s).
-(s - 2)*(s + 1)**4/3
Let s(y) be the third derivative of y**6/280 - 101*y**5/140 + 199*y**4/56 - 99*y**3/14 - 600*y**2. Suppose s(h) = 0. Calculate h.
1, 99
Let w(l) = -77*l**3 - 67*l**2 + 521*l - 151. Let g(s) = 51*s**3 + 45*s**2 - 347*s + 101. Let v(i) = -7*g(i) - 5*w(i). Determine h so that v(h) = 0.
-3, 2/7, 2
Let u(j) be the first derivative of -208/45*j**3 - 22/75*j**5 + 112/15*j**2 - 32/5*j + 11 + 8/5*j**4 + 1/45*j**6. Let u(w) = 0. Calculate w.
2, 3
Let p = -2869 + 2869. Factor -4/7*y**4 - 8/7*y**3 + 4/7*y**5 + 0 + p*y**2 + 0*y.
4*y**3*(y - 2)*(y + 1)/7
Let n(h) be the second derivative of -1/35*h**5 + 2/21*h**3 - 1/42*h**4 + 1/105*h**6 + 0*h**2 + 0 - 18*h. Factor n(o).
2*o*(o - 2)*(o - 1)*(o + 1)/7
Let z = 2647 + -2644. Factor 100/19*n + 2/19*n**4 + 120/19*n**2 + 28/19*n**z - 250/19.
2*(n - 1)*(n + 5)**3/19
Suppose i - 4*i + 1 = -2*b, 0 = -b + 4. Factor 8 - 12*j**i + 11*j - 4*j**2 + j + 0*j**2 - 4*j**4.
-4*(j - 1)*(j + 1)**2*(j + 2)
Let v(t) = 9*t**3 + 21*t**2 - 45*t + 21. Let i(z) = 21*z - 20*z**2 + 12*z + 24*z - 21 - 13*z - 8*z**3. Let s(n) = 6*i(n) + 5*v(n). Factor s(f).
-3*(f - 1)**2*(f + 7)
Let d(s) be the first derivative of 2/13*s - 2/39*s**3 - 16 + 0*s**2. Factor d(m).
-2*(m - 1)*(m + 1)/13
Let f = -14 + 16. Factor f*v + 4*v**2 + 32*v**3 - 10*v**3 - 20*v**3.
2*v*(v + 1)**2
Let t(a) be the second derivative of a**6/285 - a**5/190 - 11*a - 1. Factor t(v).
2*v**3*(v - 1)/19
Let z = -304678/5 + 61153. Let a = z - 217. Factor -4/5*d + 2/5*d**2 + 4/5*d**3 - a*d**4 + 0.
-2*d*(d - 2)*(d - 1)*(d + 1)/5
Let h(p) be the third derivative of 1/60*p**5 + 0 - 17*p**2 + 0*p + 1/24*p**4 - 1/3*p**3. Determine t so that h(t) = 0.
-2, 1
Let d(n) be the first derivative of 27 - 5/8*n**4 + 0*n + 0*n**3 - 1/2*n**5 + 0*n**2. Factor d(f).
-5*f**3*(f + 1)/2
Let j = 77123/9 + -8569. Let z be 8/(-6)*1 + 2. Let -j*s**2 - z*s + 0 = 0. Calculate s.
-3, 0
Suppose -7*o = -51*o - 9*o. Let i(r) be the first derivative of -7 + 0*r**3 - 1/12*r**4 + o*r + 0*r**2. Find g, given that i(g) = 0.
0
Let d(v) = -2*v**2 + v - 1. Let j(o) = 5*o**2 + 3*o - 22. Let f(m) = 10*d(m) + 5*j(m). Let f(g) = 0. What is g?
-8, 3
Let p(s) be the second derivative of -s**5/20 - s**4/4 + 4*s**3 - 23*s**2/2 - 9*s. Let f(r) be the first derivative of p(r). Factor f(v).
-3*(v - 2)*(v + 4)
Let d(w) be the third derivative of -w**8/840 - 4*w**7/105 - 3*w**6/25 - 3*w**2 + 111*w. Factor d(a).
-2*a**3*(a + 2)*(a + 18)/5
Let l = -10998 + 22411/2. Let t = l - 207. Factor -1/4*j**3 - t - 5/4*j - j**2.
-(j + 1)**2*(j + 2)/4
Determine v so that 52/5*v**4 - 8/5 + 82/5*v**2 + 9/5*v*