365. Let h = -43 + x. Solve -60*m**2 + 120*m**4 - 4*m - 6 - 75*m**3 + h*m**5 - 41*m + 210*m**3 - 239*m**5 = 0 for m.
-2/3, -1/4, 1
Factor 5000*l + 250000/3 + 100*l**2 + 2/3*l**3.
2*(l + 50)**3/3
What is n in 0*n**2 + 0*n + 0*n**3 + 0 - 1/3*n**5 - 2*n**4 = 0?
-6, 0
Suppose -3/4*d**5 - 9*d + 21/4*d**3 - 6 + 0*d**4 + 3/2*d**2 = 0. What is d?
-2, -1, 2
Let g(j) be the first derivative of -j**2 - j**3 + 0*j - 1/4*j**4 + 5. Factor g(p).
-p*(p + 1)*(p + 2)
Let i(t) = -t**3 + t**2 + t - 1. Let h be i(-1). Suppose h = 2*v + 16*v. Find d such that v + 2/7*d + 1/7*d**4 + 0*d**3 - 3/7*d**2 = 0.
-2, 0, 1
Let m(o) be the second derivative of -o**6/180 - o**5/30 - o**4/12 - o**3/3 - 14*o. Let k(q) be the second derivative of m(q). Let k(h) = 0. What is h?
-1
Let p(u) be the second derivative of u**5/10 + 51*u**4/7 - 403*u**3/21 + 90*u**2/7 + 56*u. Factor p(s).
2*(s - 1)*(s + 45)*(7*s - 2)/7
Factor -4*m**3 + 6*m**5 + 8*m**5 - 10*m**5.
4*m**3*(m - 1)*(m + 1)
Let v(n) be the second derivative of -n**5/60 + n**4/8 - n**3/3 - 5*n**2 - 9*n. Let b(y) be the first derivative of v(y). Solve b(t) = 0.
1, 2
Let d(r) be the third derivative of -r**5/270 - 11*r**4/108 - 10*r**3/27 - 21*r**2 - 1. Suppose d(p) = 0. What is p?
-10, -1
Let t be -3 + 2 + 6*(-4)/(-8). Let l be (1 - 0 - t)/(95/(-114)). Factor 2/5*o**3 + 2*o**2 - 18/5 + l*o.
2*(o - 1)*(o + 3)**2/5
Let f(i) be the first derivative of i**4 + 7*i**3/3 - 17*i**2 + 8*i - 40. Solve f(r) = 0.
-4, 1/4, 2
Let q(f) be the second derivative of 3/4*f**5 + 5/6*f**3 + 0 + 5/4*f**4 + 15*f + 0*f**2 + 1/6*f**6. Let q(g) = 0. Calculate g.
-1, 0
Factor -58*d**3 - 9*d + 10*d**2 - 6*d + 63*d**3.
5*d*(d - 1)*(d + 3)
Let j(p) be the third derivative of 0*p + 1/60*p**5 - 1/210*p**7 - 1/120*p**6 + 1/24*p**4 + 7*p**2 + 0 + 0*p**3. Factor j(z).
-z*(z - 1)*(z + 1)**2
Let f = -329 - -329. Let u(k) be the second derivative of 1/6*k**4 + 0 + f*k**2 - 1/5*k**5 + 0*k**3 + 1/15*k**6 - 2*k. Find l such that u(l) = 0.
0, 1
Let k(l) be the first derivative of l**6/12 + l**5/2 + l**4/2 - 36. Find q such that k(q) = 0.
-4, -1, 0
Let m(v) be the first derivative of -7*v**6/960 + v**5/20 - v**4/16 - 7*v**3/3 + 3. Let o(i) be the third derivative of m(i). Factor o(n).
-3*(n - 2)*(7*n - 2)/8
Let s = 814 - 814. Factor -4/7*g**2 - 2/7*g**3 + s + 0*g.
-2*g**2*(g + 2)/7
Let o be -4*10/8*-2. Suppose -7*s**2 + 3*s**2 + 23*s - 46 + s + o = 0. What is s?
3
Suppose 2*g = 5*h + 5 + 37, 2*h - 3*g + 8 = 0. Let b be ((-8)/20)/(2/h). Factor d**2 - 4*d**b - d**3 + 2*d**2.
-d**2*(d + 1)
Let p(j) = j**3 - j**2. Let z be (-4)/4 - (4 - 4 - 0). Let i(w) = -4*w**4 + 16*w**3 - 4*w**2 + 8*w. Let b(s) = z*i(s) + 16*p(s). Factor b(f).
4*f*(f - 2)*(f + 1)**2
Let t(h) be the third derivative of h**8/1440 + h**7/756 - 2*h**6/135 + h**5/45 - h**4/4 + 17*h**2. Let i(n) be the second derivative of t(n). Factor i(l).
2*(l - 1)*(l + 2)*(7*l - 2)/3
Let k(x) = 2*x**2 - x - 1. Let w(r) = -12*r**3 - 16*r**2 + 22*r + 6. Let h(f) = -6*k(f) - w(f). Solve h(l) = 0 for l.
-4/3, 0, 1
Let g(i) = -i**2 - 4*i - 3. Let v be g(-3). Suppose v = -3*p + 12. Factor 2*r**3 + 3 - 2*r**5 + 4*r**4 + p*r**5 - 3.
2*r**3*(r + 1)**2
Factor 0 + 3/5*o**2 - 2/5*o.
o*(3*o - 2)/5
Let l(i) = -9*i**4 - 3*i**3 + i**2 + 5*i + 5. Let k(g) = 10*g**4 + 2*g**3 - 2*g**2 - 6*g - 6. Let t = 39 + -34. Let j(z) = t*k(z) + 6*l(z). Factor j(a).
-4*a**2*(a + 1)**2
Let u(v) = -v**5 - v**3 + v**2 - v + 1. Let r(c) = -4*c**5 - 3*c**4 - c**3 + 9*c**2 - 4*c. Let k(o) = -r(o) + 3*u(o). Determine l so that k(l) = 0.
-3, -1, 1
Let r(w) be the third derivative of -5*w**8/1512 + 47*w**7/945 - 31*w**6/180 - 19*w**5/54 + 25*w**4/54 - 123*w**2. Find n such that r(n) = 0.
-1, 0, 2/5, 5
Factor 6*g**4 + 27*g**3 + 118 - 112 - 5*g**2 + 25*g**2 + 27*g + 22*g**2.
3*(g + 1)**2*(g + 2)*(2*g + 1)
Let f(c) be the second derivative of c**6/60 + c**5/10 + c**4/4 + c**3/3 + 10*c**2 + 20*c. Let u(z) be the first derivative of f(z). Factor u(a).
2*(a + 1)**3
Let b be 6 - (7 - -1) - -4. Let w(m) be the first derivative of 1/2*m - 3/8*m**b + 0*m**3 + 1/16*m**4 - 5. Factor w(v).
(v - 1)**2*(v + 2)/4
Let w be (37 + -39)*(-2)/60. Let a(l) be the third derivative of w*l**5 - 1/6*l**4 - 1/120*l**6 + 2*l**2 + 0*l**3 + 0 + 0*l. Find s such that a(s) = 0.
0, 2
Let b(h) be the first derivative of -5*h**4/4 - 45*h**3 + 285*h**2/2 - 145*h - 111. Determine j so that b(j) = 0.
-29, 1
Solve 39/7*o - 39*o**3 + 18/7 - 384/7*o**2 + 132/7*o**4 = 0.
-1, -2/11, 1/4, 3
Let x(d) be the first derivative of 8/9*d + 5/18*d**4 + 23 - 4/3*d**2 + 2/9*d**3. Factor x(o).
2*(o - 1)*(o + 2)*(5*o - 2)/9
Let l(q) be the third derivative of q**4 + 1/15*q**5 - 3*q**2 + 6*q**3 + 0 + 0*q. Solve l(d) = 0.
-3
Let p(c) = c**2 + 4*c + 7. Let q be p(-3). Factor 4*v + v**2 - v**2 - q*v**2 + 0*v**2.
-4*v*(v - 1)
Let o be 0/((30/(-9) - -5)*-3). Factor o*j - 2/5*j**2 + 2/5.
-2*(j - 1)*(j + 1)/5
Let v(h) be the second derivative of 0*h**4 + 0*h**2 + 0*h**6 + 1/21*h**7 - 1/5*h**5 + 0 + 11*h + 1/3*h**3. Factor v(r).
2*r*(r - 1)**2*(r + 1)**2
Let h(s) be the first derivative of -1/20*s**4 - 2/5*s**3 - s - 6/5*s**2 - 3. Let i(l) be the first derivative of h(l). Determine n so that i(n) = 0.
-2
Suppose 3*p + 15 = 6*u - 10*u, 25 = -5*p. Factor -2/3*j**2 + u - 4/3*j.
-2*j*(j + 2)/3
Suppose -20*j + 16*j = -3*s, -s = -4*j. Find o such that s - 2*o - 1/2*o**2 = 0.
-4, 0
Suppose 9*k = 10*k - 4. Suppose -k = -6*m + 5*m. Suppose 5*s - 25*s**3 - 3*s - 2*s**2 + 2*s**m + 23*s**3 = 0. Calculate s.
-1, 0, 1
Suppose -5*h - c = 2*c - 5, -2*c - 10 = 0. Find p, given that 49*p**2 + h*p**5 - 91*p**2 + 50*p**2 - 12*p**3 = 0.
-2, 0, 1
Factor -26/11*o**4 - 8/11*o**5 - 2/11*o - 14/11*o**2 - 30/11*o**3 + 0.
-2*o*(o + 1)**3*(4*o + 1)/11
Let q(p) be the third derivative of -3*p**7/70 - p**6/8 + p**5/5 + p**4/2 + 3*p**2 - 25*p. Find z, given that q(z) = 0.
-2, -2/3, 0, 1
Let w = -121/2 - -62. Let o = -35923 + 35926. Let -3/2*l + 3/2*l**o - w*l**2 + 3/2 = 0. What is l?
-1, 1
Suppose 9*v - 4*v = 80. Let t = 29 - v. Factor -3*w**2 + 0*w - 18*w**5 - 48*w**4 - 2*w - t*w**2 - 44*w**3.
-2*w*(w + 1)**2*(3*w + 1)**2
Let p(c) be the first derivative of c**8/84 - c**6/10 - 2*c**5/15 + 11*c**2/2 + 28. Let j(l) be the second derivative of p(l). Find x such that j(x) = 0.
-1, 0, 2
Factor o**4 + 8*o**3 - 20 - 4*o + 0*o**4 + 2448*o**2 + 2451*o**2 - 4884*o**2.
(o - 1)*(o + 2)**2*(o + 5)
Let v = -58027/5 - -11654. Let m = -1581/35 + v. Factor -18/7 - 2/7*w**4 - m*w + 8/7*w**3 + 4/7*w**2.
-2*(w - 3)**2*(w + 1)**2/7
Let o(g) be the third derivative of 0*g - 8/3*g**3 + 0 + 11/6*g**4 + 1/5*g**5 + 12*g**2. Factor o(h).
4*(h + 4)*(3*h - 1)
Let o(n) be the first derivative of 11 - 3/20*n**4 - 2/5*n**3 + 0*n**2 + 0*n. Solve o(c) = 0.
-2, 0
Let t(g) be the third derivative of -g**8/2184 - g**7/455 - g**6/390 + g**5/195 + g**4/52 + g**3/39 - g**2 + 15. What is h in t(h) = 0?
-1, 1
Factor 13/2*a**2 - 18*a + 10.
(a - 2)*(13*a - 10)/2
Let g = 328 + -328. Let o(c) be the third derivative of 2/21*c**7 + 0 - 4*c**2 + g*c**4 + 1/15*c**6 + 0*c**5 + 0*c**3 + 0*c. Factor o(q).
4*q**3*(5*q + 2)
Let m(w) be the second derivative of -w**6/60 - 13*w**5/80 - 7*w**4/12 - 23*w**3/24 - 3*w**2/4 + 29*w. Solve m(q) = 0 for q.
-3, -2, -1, -1/2
Let i(f) be the second derivative of 0 + 0*f**2 - 1/25*f**5 + 0*f**4 - 8*f + 2/15*f**3. Solve i(m) = 0 for m.
-1, 0, 1
Let k(c) be the third derivative of c**7/315 - c**6/180 - c**5/90 + c**4/36 - c**2 - c. Solve k(w) = 0.
-1, 0, 1
Solve 0*t**2 + 0*t - 4/3*t**5 + 0 - 676/3*t**3 - 104/3*t**4 = 0 for t.
-13, 0
Factor 20*h + 4*h**4 - 33*h + 21*h - 8*h**3 - 4*h**2.
4*h*(h - 2)*(h - 1)*(h + 1)
Suppose 540 = 19*v + 464. Determine s, given that -4/7*s**v + 20/7*s**2 + 12/7*s - 16/7 - 12/7*s**3 = 0.
-4, -1, 1
Let z(l) be the first derivative of -5/3*l**3 + 3*l**5 + 0*l - 23 + 0*l**2 + 5/2*l**4. Factor z(b).
5*b**2*(b + 1)*(3*b - 1)
Let v(o) be the first derivative of -o**6/21 + 38*o**5/35 - 79*o**4/14 - 34*o**3/3 + 80*o**2/7 + 200*o/7 + 178. Suppose v(z) = 0. What is z?
-1, 1, 10
Let a(b) = b**3 + b**2 + b - 1. Let q(r) = -9*r**3 - 39*r**2 - 79*r - 41. Let k(u) = 4*a(u) + q(u). Factor k(o).
-5*(o + 1)*(o + 3)**2
Suppose -2*a + 16 = 2*t, -5*a + 4*t - 5 = -36. Let a*h**2 + h**2 - 15*h - 20 - 3*h**2 + 0*h**2 = 0. What is h?
-1, 4
Let i(s) be the third deri