uppose h(o) = 0. Calculate o.
-1, 0, 1, 39
Let v(h) be the second derivative of h**6/30 + 2*h**5/15 - h**4/6 - 4*h**3/3 + 26*h**2 + 23*h. Let s(d) be the first derivative of v(d). Factor s(q).
4*(q - 1)*(q + 1)*(q + 2)
Factor 8/23*o**2 + 2/23*o**3 + 0 - 42/23*o.
2*o*(o - 3)*(o + 7)/23
Let m(w) be the third derivative of 1/300*w**5 - 1/5*w**3 + 12*w**2 + 0*w + 0 + 1/120*w**4. Let m(r) = 0. What is r?
-3, 2
Let s(t) be the first derivative of -12*t**5/5 + 177*t**4/4 - 77*t**3 - 537*t**2/2 - 117*t + 494. Let s(c) = 0. Calculate c.
-1, -1/4, 3, 13
Let f(j) = 10*j**2 + 1736*j + 82810. Let v(g) = -5*g**2 - 874*g - 41405. Let d(c) = -3*f(c) - 7*v(c). Suppose d(s) = 0. Calculate s.
-91
Let z(p) = 31*p**3 - 3*p**2 - 4*p - 1. Let q be z(-1). Let g = -30 - q. Factor g - 4/3*h + 1/3*h**2.
(h - 3)*(h - 1)/3
Let b(t) = t + 43. Let j be b(-43). Factor 1/6*z**2 + j*z - 2/3.
(z - 2)*(z + 2)/6
Let c(u) be the first derivative of -u**3 + 3*u**2/2 + 36*u + 93. Solve c(y) = 0 for y.
-3, 4
Let h be (3/(-4))/(33/(-616)). Let r be 360/819 - (4/h + 0). Factor 0 + 0*x + 4/13*x**3 - r*x**2 - 2/13*x**4.
-2*x**2*(x - 1)**2/13
Let 6/5*g - 4/5 - 2/5*g**2 = 0. What is g?
1, 2
Let m(h) be the first derivative of 1/20*h**4 + 1/15*h**3 + 0*h + 0*h**2 - 1/25*h**5 + 2 - 1/30*h**6. Factor m(b).
-b**2*(b - 1)*(b + 1)**2/5
Let d(c) = -4*c**2 - 23*c - 16. Let i(g) = 2*g**2 + 11*g + 8. Suppose 7*t - t = -36. Let b(l) = t*d(l) - 14*i(l). Factor b(r).
-4*(r + 2)**2
Let z(y) = y**2 - 15*y + 40. Let s be z(12). Let q(v) = 8*v**2 - 20. Let f(l) = l**3 + 7*l**2 - 21. Let w(m) = s*f(m) - 5*q(m). Factor w(u).
4*(u - 2)**2*(u + 1)
Let u(y) be the second derivative of y**6/21 - y**5/35 - 5*y**4/42 + 2*y**3/21 - 74*y. Let u(q) = 0. What is q?
-1, 0, 2/5, 1
Let o be (-4 - -3)/(-4) + 27/4. Suppose -2*l + o*l = 20. Let 16/3*y**3 + 8/3*y - 20/3*y**2 - 4/3*y**l + 0 = 0. What is y?
0, 1, 2
Let k be (-7)/(8 + -29)*0. Let d(z) be the second derivative of 1/2*z**5 + 1/3*z**3 + k + 43/24*z**4 - 8*z - z**2. Find q, given that d(q) = 0.
-2, -2/5, 1/4
Let d(t) = -3*t**4 - t**3 - 5*t**2 - 5*t - 5. Let w(j) = -2*j**4 - j**3 - 3*j**2 - 3*j - 3. Let i(n) = 6*d(n) - 10*w(n). Factor i(c).
2*c**3*(c + 2)
Suppose 0 = 8*d + 18 - 34. Factor -20*b**3 - 4*b**4 - 289*b**2 - 196*b + 37*b**d - 24*b**3 - 16*b**3.
-4*b*(b + 1)*(b + 7)**2
Let f(m) be the second derivative of 0*m**2 + 4/3*m**3 + 0 - 1/3*m**4 - 6*m. What is a in f(a) = 0?
0, 2
Let z(t) be the third derivative of 0*t - 5/3*t**3 - 1/10*t**5 + 3/4*t**4 - 1/60*t**6 - 2*t**2 + 0. Factor z(n).
-2*(n - 1)**2*(n + 5)
Let i be 2682/(-792) + 5 - 10/8. Solve 2/11*l**2 - i + 2/11*l = 0.
-2, 1
Let r(k) = k**3 + 9*k**2 - 13*k + 8. Let p be r(-10). Suppose 9*g**3 + 6*g**5 - 3*g**5 + 41*g**2 - p*g**2 + 9*g**4 = 0. Calculate g.
-1, 0
Let m(b) = 2 + 0 + 2*b**2 + 3*b - b**2. Let k(u) = 3*u + 2 - 19*u**2 + 12*u**2 + 8*u**2. Let o(j) = -5*k(j) + 6*m(j). Determine h so that o(h) = 0.
-2, -1
Let n be -2*3/6 + 24/4. Let c be 14/n + -7 + 5. Determine z so that 4/5 + c*z + 1/5*z**2 = 0.
-2
Factor -4/3 + 2/3*s**3 + 4/3*s**2 - 2/3*s.
2*(s - 1)*(s + 1)*(s + 2)/3
Let g(x) be the third derivative of -x**7/630 + 23*x**6/540 + 4*x**5/45 + 2*x**4/3 + 28*x**2. Let z(r) be the second derivative of g(r). Factor z(n).
-4*(n - 8)*(3*n + 1)/3
Let x(q) = 15*q**2 + 572*q - 100. Let n(g) = g**2 + 8. Let y(o) = -24*n(o) + 3*x(o). Find p, given that y(p) = 0.
-82, 2/7
Let r(c) be the second derivative of c**5/20 - c**4 + 2*c**3 - 11*c**2/2 + 5*c. Let g be r(11). Factor -2*q + 4*q**2 - 6*q + g*q.
4*q*(q - 2)
Let -97883*t + 456*t**3 + 89434*t - 5485*t**2 - 17915*t**2 - 3*t**4 + 428449*t - 750000 = 0. What is t?
2, 50
Let i(t) be the third derivative of t**6/1440 + t**5/40 + 3*t**4/8 + 16*t**3/3 + 30*t**2. Let d(g) be the first derivative of i(g). Factor d(f).
(f + 6)**2/4
Let r(h) = -10*h**2 + 420*h. Let f(s) = 5*s**2 - 209*s. Let d(x) = 5*f(x) + 3*r(x). Factor d(i).
-5*i*(i - 43)
Let d(o) be the third derivative of -35/13*o**4 - 1/195*o**6 + 0 - 27/130*o**5 - 6*o**2 - 3*o - 100/39*o**3. Factor d(q).
-2*(q + 10)**2*(4*q + 1)/13
Let w be 8547/693 + 2/(-6). Factor -18*f**3 + 0 + 27/4*f**2 + w*f**4 - 3/4*f.
3*f*(f - 1)*(4*f - 1)**2/4
Solve -2*y**2 + y**4 + 2*y + 13*y**2 + 0*y**2 - 14*y**2 = 0.
-2, 0, 1
Let v(y) = 2*y**4 - 12*y**3 + 8*y**2 - 8*y + 6. Let k(b) = 2*b**4 - 13*b**3 + 7*b**2 - 8*b + 7. Let c(q) = 4*k(q) - 5*v(q). Find x such that c(x) = 0.
1
Solve 32/5 + 92/5*y**4 + 72/5*y**3 - 66/5*y - 124/5*y**2 - 6/5*y**5 = 0.
-1, 1/3, 1, 16
Let m(q) = 7*q**2 + 6*q - 6. Let h(w) = -15*w**2 - 13*w + 13. Let l(t) = -6*h(t) - 13*m(t). Let p(d) = 12*d**2 - 4*d. Let g(b) = -8*l(b) - p(b). Factor g(a).
-4*a*(a - 1)
Let r(m) be the third derivative of m**9/151200 + m**8/10080 + m**7/3150 - 7*m**5/30 + 18*m**2. Let q(i) be the third derivative of r(i). Factor q(o).
2*o*(o + 1)*(o + 4)/5
Let h(q) be the first derivative of 1/30*q**4 + 4 - 2/15*q**3 - 3/5*q**2 + q. Let g(n) be the first derivative of h(n). Determine z, given that g(z) = 0.
-1, 3
Factor -108 + 75*a - 8 + 5*a**3 + 45*a**2 - 9.
5*(a - 1)*(a + 5)**2
Let g(y) be the first derivative of y**6/5 - y**5/2 + y**4/3 - 14*y + 9. Let p(w) be the first derivative of g(w). Find h, given that p(h) = 0.
0, 2/3, 1
Let f(z) be the third derivative of z**8/4200 - z**7/1050 + z**6/900 - 11*z**3/6 - 27*z**2. Let l(n) be the first derivative of f(n). Factor l(d).
2*d**2*(d - 1)**2/5
Suppose 19 + 13 = 2*c. Let f = -12 + c. Factor -4*g**5 + 6*g - 2 - 4*g**3 + 3*g**5 - f*g**2 + 0 - g**5 + 6*g**4.
-2*(g - 1)**4*(g + 1)
Factor -8/3 + 8/3*u**2 + 2/3*u**3 - 2/3*u.
2*(u - 1)*(u + 1)*(u + 4)/3
What is i in -242 + 22*i - 1/2*i**2 = 0?
22
Let y(c) be the second derivative of -1/5*c**5 + 0 + 1/15*c**6 + 0*c**3 - 7*c + 1/6*c**4 + 0*c**2. Factor y(m).
2*m**2*(m - 1)**2
Let b(v) be the first derivative of -2*v**6/3 - 4*v**5/5 + 45. Let b(q) = 0. What is q?
-1, 0
Let h = -20/1201 - -188677/7206. Let p = h + -26. Find l, given that 1/3 + 1/6*l**3 - p*l - 1/3*l**2 = 0.
-1, 1, 2
Let i = -104 - -74. Let d(o) = -2*o - 60. Let r be d(i). Let 1/5*h**5 + 3/5*h**3 - 1/5*h**2 + r*h - 3/5*h**4 + 0 = 0. Calculate h.
0, 1
Let h be ((-15)/(-250)*-15)/((-42)/35). Let 0 - 1/4*c**3 + 0*c + h*c**2 = 0. Calculate c.
0, 3
Let p(y) = 4*y**4 - 64*y**3 + 62*y**2 + 68*y - 64. Let v(s) = 17*s**4 - 256*s**3 + 249*s**2 + 274*s - 257. Let c(q) = 9*p(q) - 2*v(q). Solve c(k) = 0.
-1, 1, 31
Suppose 3*p = 129 - 108. Let z be 4/80*(p + 1). Let z*y**2 - 1/5*y**3 + 0 - 1/5*y = 0. What is y?
0, 1
Let n(z) be the first derivative of 18 + 16/3*z**3 + 32/5*z - 2*z**4 + 2/5*z**5 - 1/30*z**6 - 8*z**2. Let n(q) = 0. Calculate q.
2
Suppose -289*k + 2*n = -285*k + 4, 0 = -2*k - 4*n + 8. Solve k - 2/3*f**2 + 1/3*f**3 + 8/3*f**4 + 5/3*f**5 + 0*f = 0 for f.
-1, 0, 2/5
Let m(x) be the second derivative of x**10/45360 - x**9/22680 - x**8/5040 + 2*x**4 - 2*x. Let t(f) be the third derivative of m(f). Let t(j) = 0. Calculate j.
-1, 0, 2
Let k = 7/52 - -381/260. Factor 4/5 + k*h + 4/5*h**2.
4*(h + 1)**2/5
Solve -4*n**3 + 3*n**3 + n**3 - 39*n**2 + 3341 + 115*n - 3191 + n**4 - 3*n**3 = 0 for n.
-6, -1, 5
Let l = -28008 - -140042/5. Suppose 6*r**2 + 8/5 + l*r**4 - 26/5*r - 14/5*r**3 = 0. What is r?
1, 4
Let c(l) be the first derivative of 5*l**6/6 + 3*l**5 - 25*l**4/4 - 5*l**3 + 10*l**2 - 6. Factor c(k).
5*k*(k - 1)**2*(k + 1)*(k + 4)
Let b(y) be the first derivative of y**6/180 + y**5/30 + y**4/12 - 20*y**3/3 - 5. Let g(h) be the third derivative of b(h). Factor g(z).
2*(z + 1)**2
Let b = 290 - 287. Let x(t) be the first derivative of b - 9/2*t**4 + 0*t + 2*t**5 - 2*t**2 + 14/3*t**3 - 1/3*t**6. Factor x(f).
-2*f*(f - 2)*(f - 1)**3
Let v(f) = f**2 + f - 1. Suppose 4*j = 3*j + 7. Let x(l) = -7*l - 7*l**2 - 9*l + 0*l - j - 12. Let y(g) = 6*v(g) + x(g). Let y(k) = 0. What is k?
-5
Let q be (3 - (-3)/(45/(-40))) + (-32)/168. Factor 2/7*t**3 + 0*t - q + 3/7*t**2.
(t + 1)**2*(2*t - 1)/7
Suppose 0*c - o - 10 = -3*c, c - 5 = 2*o. What is u in 65*u**2 + 0 - 14*u - 30*u**c + 3 + 2 - 26*u = 0?
1/6, 1
Let l = -29 - -31. Factor 3*u**2 - 3*u**3 + l*u**4 + 67*u - 5*u**4 - 64*u.
-3*u*(u - 1)*(u + 1)**2
Factor -4/5 - 2/5*w**3 + 0*w**2 + 6/5*w.
-2*(w - 1)**2*(w + 2)/5
Let k be 30012/20130 + 12/(-11). Suppose k*l**5 + 4/5 + 0*l**4 - 8/5*l**3 + 6/5*l - 4/5*l**2 =