9*q**2 + 0*q**4 + 1/300*q**6 + 0*q**5 - 1/350*q**7 + 1/1680*q**8 + 0*q**3 + 0*q. Factor h(m).
m**3*(m - 2)*(m - 1)/5
Let a(l) = -l**4 - 3*l**2 + 2. Let u(p) = 15231*p**3 - 15231*p**3 + 1 - p**4 + p. Let h(k) = -a(k) + 2*u(k). Determine g, given that h(g) = 0.
-1, 0, 2
Let o(i) be the third derivative of i**8/336 + i**7/42 - i**6/120 - i**5/12 - 2*i**2 + 3*i. Let o(j) = 0. Calculate j.
-5, -1, 0, 1
Let w(c) be the second derivative of c**5/210 - c**4/42 + 5*c**2/2 + 9*c. Let s(o) be the first derivative of w(o). Factor s(x).
2*x*(x - 2)/7
Solve 20*t - 14*t**2 - 4*t**4 + 16*t**2 - 12*t + 10*t**2 = 0.
-1, 0, 2
Let a(j) be the first derivative of -2*j**5/5 + j**4 - 2*j**2 + 2*j + 61. Determine i so that a(i) = 0.
-1, 1
Let p(w) = -2*w**3 - 2*w - 4*w**2 - 22*w**2 - 8 + 5*w - w**3. Let m(b) = -b**3 - 9*b**2 + b - 3. Let d(u) = -17*m(u) + 6*p(u). Suppose d(k) = 0. What is k?
-3, -1, 1
Let k be ((-6)/(-8))/((-3)/60). Let z = -10 - k. Find v such that -v**4 - v**z - 44*v**3 + 5*v**5 + 41*v**3 + v**2 - 2*v**5 + v = 0.
-1, -1/2, 0, 1
Let c = 87/4 + -605/28. Let v(m) be the first derivative of -c*m**2 + 3 - 2/21*m**3 + 4/7*m. Solve v(z) = 0.
-2, 1
Let b(i) = i**3 + i**2 + 1. Let r(l) = 8*l + 6 + 2*l - 5*l**2 + 15*l**3 - 8*l. Let y be -6*1/4*20. Let p(x) = y*b(x) + 5*r(x). Factor p(k).
5*k*(k - 1)*(9*k - 2)
Let m(i) be the third derivative of -i**6/1080 - i**5/60 - i**4/8 + 5*i**3/6 - 6*i**2. Let z(o) be the first derivative of m(o). Factor z(p).
-(p + 3)**2/3
Let i(y) = -y**3 - 6*y**2 - 6*y - 5. Let j be i(-5). Suppose j = -5*s + 3 + 7. Let s*m**4 - m**4 + 3*m**5 + 0*m**5 + 2*m**4 = 0. Calculate m.
-1, 0
Let n(y) be the third derivative of 0*y + 0 - 3/40*y**5 - 9/32*y**4 - 23*y**2 - 1/2*y**3 - 1/160*y**6. Factor n(w).
-3*(w + 1)**2*(w + 4)/4
Let q be (-4)/14 - (-1098)/315. Let l(w) be the first derivative of 28/3*w**3 - 5*w**4 - 7 + 0*w - q*w**5 + 4*w**2. Factor l(c).
-4*c*(c - 1)*(c + 2)*(4*c + 1)
Let o(j) be the second derivative of j**6/10 + 33*j**5/20 + 9*j**4/2 - 54*j**3 - 324*j**2 + 54*j - 3. Factor o(m).
3*(m - 3)*(m + 2)*(m + 6)**2
Let i = 163181/17 + -9595. Factor -80/17*t + 32/17 + 2/17*t**4 - 20/17*t**3 + i*t**2.
2*(t - 4)**2*(t - 1)**2/17
Factor 30*b**4 + 27/8*b + 71/2*b**3 + 133/8*b**2 + 1/4 + 8*b**5.
(b + 1)*(b + 2)*(4*b + 1)**3/8
Let x(t) be the first derivative of -2/51*t**3 - 10 - 6/17*t - 4/17*t**2. Factor x(v).
-2*(v + 1)*(v + 3)/17
Factor 0 - 338/9*q**5 - 104/9*q**4 - 8/9*q**3 + 0*q + 0*q**2.
-2*q**3*(13*q + 2)**2/9
Let i(w) be the first derivative of -1/8*w**4 + 1/8*w**2 + 1/24*w**6 - 1 + 0*w + 0*w**5 + 0*w**3. Factor i(x).
x*(x - 1)**2*(x + 1)**2/4
Let f(c) be the first derivative of 2*c**6/3 + 32*c**5/5 - 376*c**3/3 - 130*c**2 + 600*c - 550. Find t, given that f(t) = 0.
-5, -2, 1, 3
Let c(o) be the third derivative of -o**6/900 + o**5/30 - 5*o**4/12 + o**3/6 - 12*o**2. Let f(d) be the first derivative of c(d). Find q such that f(q) = 0.
5
Let v be -12*(-77)/105 - 8. Let l(a) be the first derivative of 8/15*a**3 + 7 + a**2 + 1/10*a**4 + v*a. Factor l(t).
2*(t + 1)**2*(t + 2)/5
Let t be (2821/93)/(7 + -1) + -5. Let d = t - -1/6. Factor -2/9*l**3 - d*l + 0 - 4/9*l**2.
-2*l*(l + 1)**2/9
Let p(m) be the second derivative of -m**4/30 - 8*m**3/3 - 80*m**2 + 154*m. Find r, given that p(r) = 0.
-20
Determine n so that 633/5*n**3 - 99*n**4 - 114/5*n**2 - 24/5*n + 0 = 0.
-4/33, 0, 2/5, 1
Factor -31*n**2 + 70*n**3 - 67*n**3 - 18*n**2 - 7*n**2 - 216 + 180*n + 14*n**2.
3*(n - 6)**2*(n - 2)
Let n(y) = 81*y**4 + 159*y**3 + 273*y**2 + 96*y - 33. Let k(q) = 5*q**4 + 10*q**3 + 17*q**2 + 6*q - 2. Let d(l) = 33*k(l) - 2*n(l). Factor d(v).
3*v*(v + 1)**2*(v + 2)
Suppose -3*a - 421 = -373*a + 319. Solve 1/3*g**4 - 4/3*g**a + 0 + 0*g + 0*g**3 = 0 for g.
-2, 0, 2
Let g(y) be the first derivative of -54 - 12*y + 1/2*y**4 + y**2 + 8/3*y**3. Factor g(u).
2*(u - 1)*(u + 2)*(u + 3)
Let n(q) be the third derivative of 4*q**2 + 0*q**6 + 0*q + 1/735*q**7 + 0 + 0*q**4 + 0*q**5 + 0*q**3. Factor n(x).
2*x**4/7
Let b(p) be the third derivative of -p**6/8 - 4*p**5/3 - 115*p**4/24 - 5*p**3 - 28*p**2. Suppose b(y) = 0. Calculate y.
-3, -2, -1/3
Let l(t) = -11*t - 3. Let u be l(-1). Let v(w) be the second derivative of 729/10*w**6 + 0*w**5 - 54*w**4 + w + 0 - 32*w**3 - u*w**2. Factor v(b).
(3*b - 2)*(9*b + 2)**3
Let -43/9*j + 0 + 1/9*j**2 = 0. Calculate j.
0, 43
Let 24/7*z**3 + 2/7*z**5 + 2*z**4 + 0 - 32/7*z - 8/7*z**2 = 0. Calculate z.
-4, -2, 0, 1
Let s be (30/(-99))/((-3)/90). Let b = 102/11 - s. Factor 0 + b*n**3 + 0*n**2 + 0*n - 2/11*n**4.
-2*n**3*(n - 1)/11
Let v(o) be the third derivative of -1/3*o**3 - 5*o**2 - 1/180*o**5 + 0*o**4 + 0*o - 1/540*o**6 + 0. Let m(g) be the first derivative of v(g). Factor m(c).
-2*c*(c + 1)/3
Suppose -5*n = -48*n. Factor n*y + 0 + 2/7*y**2.
2*y**2/7
Let q = 8198 + -33039/4. Let o = -677/12 - q. Let -8/3 - 4/3*f**3 - 20/3*f - o*f**2 = 0. What is f?
-2, -1
Let a(m) be the first derivative of -m**4 + 32*m**2 + 356. Factor a(d).
-4*d*(d - 4)*(d + 4)
Let h(r) be the first derivative of 9*r**5/25 + 33*r**4/20 + 12*r**3/5 + 6*r**2/5 + 243. Suppose h(b) = 0. What is b?
-2, -1, -2/3, 0
Let g be ((1 + -1)*(-29)/58)/(-2). Let j(d) be the third derivative of g + 0*d**6 + 0*d**3 + 0*d**5 + 0*d**4 + 6*d**2 - 1/105*d**7 + 0*d. Factor j(k).
-2*k**4
Let v(x) = -x**3 + x**2. Let w(q) = -2*q**2 - 545*q + 547*q + 4*q**2 + 4*q**3. Suppose -10 = 8*t - 13*t. Let k(l) = t*v(l) + w(l). Factor k(u).
2*u*(u + 1)**2
Let v = -21 - -145/7. Let w = -3/35 - v. Determine o so that 4/5*o**5 - 4/5*o**3 + 0*o - 1/5*o**2 + 0 + w*o**4 = 0.
-1, -1/4, 0, 1
Let g(z) be the first derivative of 20 + 1/26*z**4 + 0*z - 4/39*z**3 + 0*z**2. Find c such that g(c) = 0.
0, 2
Let t = -70 - -74. Let g(z) be the second derivative of 4*z + 1/4*z**4 - t*z**3 + 24*z**2 + 0. Determine j so that g(j) = 0.
4
Suppose 206*p = 210*p - 16. Find u, given that 0 + 0*u**3 - 4/9*u**2 + 0*u + 1/9*u**p = 0.
-2, 0, 2
Factor -20/19*m + 2/19*m**2 - 48/19.
2*(m - 12)*(m + 2)/19
Let d be ((-473)/(-946))/(3/4). Factor -4/9*h + d*h**2 - 2/9*h**4 + 0 + 0*h**3.
-2*h*(h - 1)**2*(h + 2)/9
Let p(a) be the second derivative of -a**5/5 - 36*a**4 - 2592*a**3 - 93312*a**2 + 20*a. Solve p(l) = 0 for l.
-36
Let m(i) be the second derivative of -i**5/130 + 2*i**4/13 + i**3/39 - 12*i**2/13 + 193*i. What is s in m(s) = 0?
-1, 1, 12
Suppose g - 16 = 2*v, 0*g - 2*g = -5*v - 35. Let t be 6/(-2)*g/(-6). Suppose -c**2 + 0*c**3 + c**4 - 1/2*c + 1/2*c**t + 0 = 0. What is c?
-1, 0, 1
Let i(j) = 2*j**3 + 4. Let m(b) = b**2 + b + 1. Let k(r) = r**2 - 2. Let x be k(2). Suppose -119 + 7 = 28*v. Let a(f) = v*m(f) + x*i(f). Factor a(l).
4*(l - 1)**2*(l + 1)
Determine a, given that -2/13*a**2 - 6/13*a + 36/13 = 0.
-6, 3
Let g(u) = -u**3 + 7*u**2 - 7*u + 9. Let n be g(6). Suppose 5*d = -0*d + 5*v + 25, 4*d + 4*v = 4. Factor -4*f**n + f**d - 16*f**2 - 6*f**3 + 5*f - f.
-f*(f + 2)*(9*f - 2)
Let j(p) be the second derivative of 1/10*p**4 + 1/5*p**3 + 0 + 1/50*p**5 + 16*p + 1/5*p**2. Find d, given that j(d) = 0.
-1
Let d = 29837/49745 + 2/9949. Factor -24/5*k + d*k**2 + 48/5.
3*(k - 4)**2/5
Let b(l) be the third derivative of -l**6/180 + l**5/15 + 7*l**4/36 + 148*l**2. Find h such that b(h) = 0.
-1, 0, 7
Factor 4056*j**4 + 0*j + 288*j**2 + 0 + 8788/3*j**5 + 1872*j**3.
4*j**2*(13*j + 6)**3/3
Let t(c) be the second derivative of -c**8/1680 - c**7/350 - c**6/200 - c**5/300 + 11*c**2/2 + 6*c. Let l(h) be the first derivative of t(h). Factor l(k).
-k**2*(k + 1)**3/5
Let u(g) be the first derivative of g**3/6 - 25*g**2/4 + 53. Factor u(z).
z*(z - 25)/2
Let h = -652 + 11737/18. Let u(x) be the second derivative of x - 8/45*x**3 - 1/150*x**5 + 0 + 4/15*x**2 + h*x**4. Let u(j) = 0. Calculate j.
1, 2
Let g(a) be the third derivative of -a**7/504 - a**6/18 - 2*a**5/3 + 13*a**4/24 - 50*a**2. Let m(v) be the second derivative of g(v). What is d in m(d) = 0?
-4
Let b = 38 + -43. Let u = b - -7. Let -2/3*v**2 + 2*v**5 + 0 + 2/3*v**4 + 0*v - u*v**3 = 0. Calculate v.
-1, -1/3, 0, 1
Let a(r) be the second derivative of r**5/60 - 7*r**4/36 - 5*r**3/3 - 144*r. Factor a(w).
w*(w - 10)*(w + 3)/3
Let i(h) be the third derivative of -125*h**5/6 - 25*h**4/6 - h**3/3 + 3*h**2 - h. Factor i(l).
-2*(25*l + 1)**2
Factor -18 + 729*c + 3758*c**2 - 21*c - 10720*c**2.
-