ate n.
-11, -1
Let r(n) be the first derivative of -7*n - 6 + 0*n**2 + 1/15*n**6 + 2/3*n**3 + 0*n**5 - 1/2*n**4. Let y(f) be the first derivative of r(f). Factor y(q).
2*q*(q - 1)**2*(q + 2)
Let c(h) = -7*h**5 + 62*h**4 - 45*h**3 - 62*h**2 + 60*h - 8. Let v(q) = q**5 + q**3 - q**2 - q. Let r(s) = 5*c(s) - 40*v(s). Let r(l) = 0. What is l?
-1, 2/15, 1, 2
Suppose -9*i = 20*i - 58. Factor 0 + 8/5*a**3 + 0*a**i - 2/5*a.
2*a*(2*a - 1)*(2*a + 1)/5
Let p be (-7 + 26/4)*0. Let l(s) be the third derivative of -1/60*s**6 + 0 + 0*s + 0*s**4 + 0*s**3 - 2*s**2 + p*s**5. Determine y, given that l(y) = 0.
0
Let c = 1841/3650 - 8/1825. Factor -h**2 + 0 + h - 3/4*h**3 + 1/4*h**5 + c*h**4.
h*(h - 1)**2*(h + 2)**2/4
Let w(j) be the third derivative of 5*j**8/336 + j**7/6 - j**6/24 - 7*j**5/12 - 3*j**2 - 104*j. Find u, given that w(u) = 0.
-7, -1, 0, 1
Let b(z) be the third derivative of -z**8/1344 + z**7/420 - z**5/120 + z**4/96 - 17*z**2. Factor b(c).
-c*(c - 1)**3*(c + 1)/4
Let p(t) = -3*t**3 + 33*t**2 + 9*t - 33. Let l(f) = 6*f**3 - 66*f**2 - 16*f + 66. Let g(i) = 3*l(i) + 5*p(i). Factor g(x).
3*(x - 11)*(x - 1)*(x + 1)
Suppose 0*i + 3*i = 4*x - 24, -4*i = -2*x + 42. Let p be (-32)/i - 8/12. Find c, given that 4 + 6*c + 1/2*c**3 + 3*c**p = 0.
-2
Factor -5 - 21/4*f - 1/4*f**2.
-(f + 1)*(f + 20)/4
Let g(x) be the second derivative of x**4/138 + 86*x**3/69 - 87*x**2/23 - 647*x. Factor g(k).
2*(k - 1)*(k + 87)/23
Let u(d) be the third derivative of -d**6/840 + d**5/84 + d**4/12 + 44*d**2 - 8. Let u(b) = 0. What is b?
-2, 0, 7
Let z be (-48)/(-10) + (-17 + 29)/60. Solve -z + 33/2*y + 7/2*y**2 = 0.
-5, 2/7
Suppose -l + 56 = 3*l. Let z = l + -9. Factor 2*q**5 - 2*q**3 - 4*q**4 - 2*q**z - 2*q**5.
-2*q**3*(q + 1)**2
Factor -90*z + 90*z + 2*z**2 + 4*z**2 + 4*z**3 - 2*z**4.
-2*z**2*(z - 3)*(z + 1)
Suppose 7 = 4*p - 5. Factor 6*x**2 - 10*x - 33*x**2 - 25*x**p - 8*x**2.
-5*x*(x + 1)*(5*x + 2)
Let a(n) be the second derivative of -529*n**5/130 + 1748*n**4/13 + 612*n**3/13 + 80*n**2/13 - 45*n. Suppose a(t) = 0. Calculate t.
-2/23, 20
Let l(h) be the third derivative of 2*h**7/63 - 3*h**6/40 + h**5/180 + h**4/12 + 24*h**2. Let l(v) = 0. What is v?
-2/5, 0, 3/4, 1
Suppose 298*z - 240*z = 0. Determine t, given that -1/3*t**3 + 2/3*t - 1/3*t**5 + z + t**2 - t**4 = 0.
-2, -1, 0, 1
Determine w so that 5*w + 6*w + 1367*w**2 - 1366*w**2 = 0.
-11, 0
Let x(z) be the second derivative of z**7/840 + z**6/120 + z**5/40 - 3*z**4/4 - 13*z. Let w(k) be the third derivative of x(k). Factor w(m).
3*(m + 1)**2
Let a(r) be the second derivative of -r**7/210 - r**6/18 - 7*r**5/30 - r**4/2 + 5*r**3/2 + 10*r. Let o(b) be the second derivative of a(b). Factor o(x).
-4*(x + 1)**2*(x + 3)
Let i(h) = -h**2 + h + 2. Let n be i(2). Let y(t) be the third derivative of 0*t + 5/84*t**4 - 2/105*t**5 - 7*t**2 - 1/21*t**3 + n. Factor y(s).
-2*(s - 1)*(4*s - 1)/7
Factor 136/3*n**3 + 2 - 2*n**2 - 136/3*n.
2*(n - 1)*(n + 1)*(68*n - 3)/3
Let f(j) = 13 - 6 - j + 2*j + j**2 - 6. Let l be f(-2). Factor -3*n**2 + n**5 - 6*n**3 - n**4 + 4*n**2 + 4*n**3 + n**l.
n**2*(n - 1)**2*(n + 1)
Factor -4*c + 66/7 + 2/7*c**2.
2*(c - 11)*(c - 3)/7
Suppose -9 = -5*n + 8*n. Let h = -5/2 - n. Factor -h*z + 0 + 3/4*z**2 - 1/4*z**3.
-z*(z - 2)*(z - 1)/4
Let r = -957 - -957. Let i(l) be the second derivative of -9*l - 2*l**2 + r - 1/3*l**4 + 5/3*l**3. Factor i(b).
-2*(b - 2)*(2*b - 1)
Let u be (11/132)/(1/4). Let a(z) be the second derivative of 1/6*z**4 + 10*z + u*z**3 + 0*z**2 + 0. Factor a(d).
2*d*(d + 1)
Let a(r) be the second derivative of -r**4/12 + 2*r**3 + 45*r**2/2 + r - 68. Let a(x) = 0. What is x?
-3, 15
Let u be (-2)/(-6) + (-1)/((-3)/5). Solve -3 - 4*w + w**2 + u*w + 2*w**2 - 2*w**2 = 0.
-1, 3
Determine h so that 159*h + 48*h**2 + 4*h**4 - 87*h - 88*h - 64 + 28*h**3 = 0.
-4, -2, 1
Let i(w) be the first derivative of w**3 + 6*w - 3. Let f(g) = g**2 + g + 1. Let m(y) = -6*f(y) + i(y). Factor m(u).
-3*u*(u + 2)
Let v(u) be the first derivative of u**3/18 + 4*u**2/3 + 14*u/3 - 20. Factor v(n).
(n + 2)*(n + 14)/6
Let s = 1 + -1. Let m(g) = g**3 + 3*g**2 - 146*g - 566. Let n be m(-4). Factor 1/8*c**4 - 1/8*c**n + 0 + 0*c + s*c**3.
c**2*(c - 1)*(c + 1)/8
Suppose 4*h + 7 = 2*f - 9, -2*f - 5*h = 11. Suppose -16*k + 21*k - 3*r + 12 = 0, -8 = 3*k - 2*r. Factor k + 2/7*o**3 + 4/7*o - 6/7*o**f.
2*o*(o - 2)*(o - 1)/7
Let s(p) be the second derivative of -1/3*p**2 - 11/36*p**4 + 0 - 13/18*p**3 + 2*p. Suppose s(q) = 0. What is q?
-1, -2/11
Let l = 17 + -14. Factor 5*o - 9*o**2 + o**2 + 10 + l*o**2.
-5*(o - 2)*(o + 1)
Let c(b) be the third derivative of -b**5/15 + 13*b**4/6 - 24*b**3 - 63*b**2. Suppose c(w) = 0. Calculate w.
4, 9
Let k = 10117/3895 - -2/779. Factor 11/5*b + 2/5 + k*b**2 + 4/5*b**3.
(b + 1)*(b + 2)*(4*b + 1)/5
Let s(l) be the second derivative of -l**4/4 - 127*l**3/10 - 15*l**2 - 2*l + 62. Factor s(a).
-3*(a + 25)*(5*a + 2)/5
Factor 82/9*j + 52/3 + 2/9*j**2.
2*(j + 2)*(j + 39)/9
Let d(c) = 5*c - 4. Let x be d(5). Let l = 24 - x. Factor -b**3 + 4*b**3 + b - l*b - b.
3*b*(b - 1)*(b + 1)
Factor 0*a - 1/3*a**2 + 1/3.
-(a - 1)*(a + 1)/3
Let b(w) be the second derivative of w**4/36 + 31*w**3/18 + 14*w**2 + 287*w - 1. Factor b(j).
(j + 3)*(j + 28)/3
Solve 2865*a + 35*a**2 + 16*a**3 - 2977*a - 4*a**4 + 65*a**2 = 0.
-4, 0, 1, 7
Let h be 12/16*4 + 0. Let i = 11/8 - 5/8. Find m such that i*m**h + 0 + 1/2*m**2 - 1/4*m = 0.
-1, 0, 1/3
Let t be ((-62)/(-93))/(5/15). Factor 1/2*f + 1/4*f**t + 1/4.
(f + 1)**2/4
Let r be (-6)/(-14)*7044/18. Let w = 168 - r. Factor -2/7*z**2 + 4/7*z - w.
-2*(z - 1)**2/7
Let c be (7/28*4)/(2/4). Suppose -12 = 2*i + 4*d, 5*i = -0*i + c*d + 18. Find u, given that 0 - 2*u**i + 2/5*u = 0.
0, 1/5
Let r = 2461/5 - 492. Factor -2/5*d**3 + 1/5*d**2 + 0*d + 0 + r*d**4.
d**2*(d - 1)**2/5
Let u = -22 - -22. Let g(s) be the second derivative of u*s**2 + 0*s**5 + 0*s**3 + s + 0 + 1/45*s**6 - 1/18*s**4. Let g(t) = 0. Calculate t.
-1, 0, 1
Find x such that 8*x**3 - 7*x - 3*x**3 - 23*x + 5*x**2 + 0*x**2 = 0.
-3, 0, 2
Let q(n) be the third derivative of -5*n**5/54 - 11*n**4/6 + 16*n**3/27 + 4*n**2 + 1. Factor q(i).
-2*(i + 8)*(25*i - 2)/9
Let n(o) be the second derivative of o**3/6 - 17*o**2/2 - 2*o. Let a be n(20). Factor 1/2*v**4 + v**a - 1/2*v**2 + 0 - v.
v*(v - 1)*(v + 1)*(v + 2)/2
Let d(q) = -q**3 - q**2. Let x(j) = -5*j**3 + j**2 + 15*j + 9. Let w(p) = -6*d(p) + x(p). Suppose w(n) = 0. Calculate n.
-3, -1
Let s(m) = 2*m + 11*m + 17 + 11*m + 3*m**2. Let n(p) = 9*p**2 + 72*p + 49. Let o(r) = 2*n(r) - 7*s(r). Factor o(x).
-3*(x + 1)*(x + 7)
Let h(s) be the third derivative of -8*s**2 + 0*s**4 + 0 - 1/300*s**6 + 1/75*s**5 + 0*s**3 + 0*s. Factor h(q).
-2*q**2*(q - 2)/5
Let a(r) be the second derivative of 1/7*r**2 + 1/28*r**4 + 5/42*r**3 + 0 - 1/210*r**6 + 13*r - 1/140*r**5. Suppose a(f) = 0. What is f?
-1, 2
Determine x so that 4832/7*x**3 - 25600/7 - 4208*x**2 + 300/7*x**4 + 49920/7*x + 4/7*x**5 = 0.
-40, 1, 2
Let g(n) be the second derivative of n**7/1260 - n**5/60 - n**4/3 - 19*n. Let s(o) be the third derivative of g(o). Factor s(b).
2*(b - 1)*(b + 1)
Suppose 10*k = 7*k + 54. Factor -2*o**2 + k + 10 + 4*o - 30.
-2*(o - 1)**2
Suppose -3*y - 2*y = 0. Suppose 2*g + 4*b - 18 = 0, 3*g + b - 27 = -2*g. Factor 3/7*p**g + y*p - 3/7*p**3 + 0 + 3/7*p**4 - 3/7*p**2.
3*p**2*(p - 1)*(p + 1)**2/7
Let -2*t**4 + 249*t**5 + 254*t**5 + 8*t**2 - 504*t**5 + 6*t**3 - 5*t - 6 = 0. Calculate t.
-3, -1, 1, 2
Let p(f) be the second derivative of -f**3 + 1/12*f**4 + 0*f**2 + 1/20*f**5 + 0 - 23*f. Find u such that p(u) = 0.
-3, 0, 2
What is x in -6*x**2 + 26*x - x**2 + 2*x - 40 + 3*x**2 = 0?
2, 5
Let t(s) be the first derivative of 5/3*s**3 - 25/2*s**2 + 30*s + 15. Factor t(x).
5*(x - 3)*(x - 2)
Let r(i) = 5*i + 2 + 6*i - 13*i. Let o be r(0). Solve 1/5*p**o + 0*p - 1/5 = 0 for p.
-1, 1
Let l = 1123891/807 - 4178/3. Let s = 1593/1883 + l. What is r in s*r**3 - 3/7*r**5 - 6/7*r**2 - 3/7*r + 3/7 + 3/7*r**4 = 0?
-1, 1
Let q(f) be the second derivative of -f**5/120 - 5*f**4/24 - f**3/3 + 7*f**2/3 + 59*f. Factor q(i).
-(i - 1)*(i + 2)*(i + 14)/6
Let a be (-279)/62*2/(-3). Let c(o) be the third derivative of 0*o**4 + 0*o + 0*o**a - 1/120*o**6 + 6*o**2 + 1/30*o**5 + 0. Suppose c(z) = 0. What is z?
0, 2
Let o = 31003 - 31000. Factor -1/4*z**2 - 13/4*