t j(m) be the second derivative of -m**5/70 + 21*m + 4. Let j(v) = 0. What is v?
0
Let n(v) be the second derivative of v**4/126 - 11*v**3/63 - 26*v**2/21 - 24*v - 1. Factor n(y).
2*(y - 13)*(y + 2)/21
Solve -34/5*i + 1/5*i**2 + 33/5 = 0.
1, 33
Suppose 0 = -4*c + 2*c + 4. Find a, given that -4*a - 6*a**c - 2*a**3 + 34 - 12*a**2 + 16 - 26*a = 0.
-5, 1
Let b(m) be the third derivative of m**8/840 + 4*m**7/525 - m**6/50 - 2*m**5/75 + m**4/12 - 72*m**2. Solve b(i) = 0.
-5, -1, 0, 1
Let x(f) be the second derivative of 3*f**5/8 + 55*f**4/48 + 5*f**3/6 + 6*f**2 - 12*f. Let d(z) be the first derivative of x(z). Factor d(c).
5*(c + 1)*(9*c + 2)/2
Let s = 2/3115 + 1216/46725. Let n(u) be the third derivative of 8*u**2 + 0*u**3 + 0*u**4 + 0*u + s*u**5 + 0 - 1/150*u**6. Factor n(r).
-4*r**2*(r - 2)/5
Solve 0 - 81*d**2 - 27*d - 15/4*d**4 - 141/4*d**3 = 0.
-6, -3, -2/5, 0
Let y(v) be the first derivative of 0*v - 11/24*v**3 - 1/40*v**5 - 3/16*v**4 + 4 - 3/8*v**2. Factor y(p).
-p*(p + 1)*(p + 2)*(p + 3)/8
Let r(a) = -a**2 - 5*a + 26. Let b(k) = -k**2 - 10*k + 51. Let l(d) = 4*b(d) - 9*r(d). Factor l(u).
5*(u - 2)*(u + 3)
Let b(k) be the first derivative of k**6/4 - 39*k**4/8 + 8*k**3 + 9*k**2 - 24*k - 186. What is a in b(a) = 0?
-4, -1, 1, 2
Let m(s) be the second derivative of s**4/21 + 68*s**3/21 + 578*s**2/7 - 49*s. Factor m(a).
4*(a + 17)**2/7
Let h be 14/((-4640)/(-1320) - (-4)/(-22)). Factor h*j + 3/5*j**2 + 0.
3*j*(j + 7)/5
Factor 22*n**2 + n + 36*n**3 - 1741*n**5 + 1725*n**5 + 8*n**4 + 3*n.
-2*n*(n - 2)*(2*n + 1)**3
Factor -10 + c**2 - 2420*c + 5*c**2 + 2424*c - c**3 - 14.
-(c - 6)*(c - 2)*(c + 2)
Let d(f) be the second derivative of f**9/68040 - f**7/11340 + 7*f**4/12 + 15*f. Let m(c) be the third derivative of d(c). Determine b so that m(b) = 0.
-1, 0, 1
Let f be (-12)/14*(13 + -6). Let o be (-166)/(-18) + f/27. Find y such that 1 - 5*y - y**2 + o*y - 4*y**3 + 0*y = 0.
-1, -1/4, 1
Let t(c) be the second derivative of -c**9/15120 + c**8/1344 - c**7/315 + c**6/180 - 3*c**4/4 + 18*c. Let g(d) be the third derivative of t(d). Factor g(p).
-p*(p - 2)**2*(p - 1)
Let t(i) be the second derivative of i**5/240 - i**3/18 + 59*i. Factor t(a).
a*(a - 2)*(a + 2)/12
Let n = 3463/3 + -1149. Factor -1/3*z**2 - n + 8/3*z.
-(z - 4)**2/3
Let p(o) = 5*o**2 + 4 - o - 5 - 2*o**2. Let z be p(-2). Factor -z*s**2 - s**4 - 2*s**3 - 4*s**3 + 2*s - 4 - 14*s.
-(s + 1)**2*(s + 2)**2
Suppose -8 = 41*h - 43*h. Let g(i) be the first derivative of -1/8*i**h + 0*i + 0*i**2 + 4 - 1/6*i**3. Find p, given that g(p) = 0.
-1, 0
Suppose -31 - 21 = -26*x. Let m(f) be the first derivative of 5 - 4*f + 4/3*f**3 + 0*f**x. Factor m(z).
4*(z - 1)*(z + 1)
Suppose -5*s + 21 = -3*r + 7, 8 = 3*s - 2*r. What is t in -4*t - 4*t + s*t**2 + 5*t**2 - t**4 + 3 - 3*t**2 = 0?
-3, 1
Suppose -2*j + 4 = -0. Suppose -z**j + 1 + 0 - 6 - 6*z = 0. Calculate z.
-5, -1
Let y(n) be the second derivative of -5*n**7/42 - 33*n**6 - 3267*n**5 - 119790*n**4 + 98*n + 1. What is i in y(i) = 0?
-66, 0
Suppose -54 = -k - 3*y + 6*y, 0 = k - y - 62. Solve 2*b**3 + 70*b**2 - 16 - k*b**2 - 8*b + 0*b**3 = 0 for b.
-2, 2
Let z(m) be the first derivative of -1/3*m**3 - 8 + 7/4*m**4 + m**5 + 1/6*m**6 - 4*m**2 - 4*m. Suppose z(f) = 0. Calculate f.
-2, -1, 1
Let t(h) = -h + 3. Let y be t(-3). Let -i**3 + y*i + 3*i**3 + 0*i**3 - 2*i**2 - 10*i = 0. What is i?
-1, 0, 2
Suppose 20 = -4*h, 3*g + 3*h = 2*g + 7. Suppose -g = -4*k - 2*c, -c = 2*c - 15. Factor 2/3*u**k + 0 + 2/3*u**2 + 0*u.
2*u**2*(u + 1)/3
Let h = 12/121 + 49/726. Determine g, given that -h*g**4 + 0*g**3 + 1/6*g**2 + 0 + 0*g = 0.
-1, 0, 1
Let j(h) be the first derivative of 30 + 3/8*h**4 - 1/6*h**3 - 3/4*h**2 + h - 1/10*h**5. Factor j(y).
-(y - 2)*(y - 1)**2*(y + 1)/2
Let j be -4 + 1/((-1)/28*-4). Let -4*p**4 + 85*p - 75*p**2 - 64 + 26*p**3 + 43*p - 21*p**2 + 6*p**j = 0. What is p?
2
Let a(m) be the second derivative of -5*m**4/12 + 290*m**3/3 + 585*m**2/2 + 246*m. Solve a(n) = 0 for n.
-1, 117
Factor -64*b + 141*b**2 + 135*b**2 - 272*b**2 + 112.
4*(b - 14)*(b - 2)
Factor 60*p**3 - 2 + 57*p**3 + 2*p**2 - 172*p**3 + 54*p**3 + p.
-(p - 2)*(p - 1)*(p + 1)
Solve -50*a**2 - 5*a**3 + 101*a**2 + 124*a**2 = 0 for a.
0, 35
Let r(w) be the second derivative of w**4/28 - 10*w**3/7 - 9*w**2/2 + 22*w. Solve r(t) = 0.
-1, 21
Let p(i) be the third derivative of -i**8/168 - 17*i**7/105 - 5*i**6/4 + 13*i**5/30 + 68*i**4/3 - 64*i**3 + 6*i**2. Let p(f) = 0. Calculate f.
-8, -3, 1
Let o be 14/(560/(-785)) + 20. Suppose o*d**3 + 0 + 0*d - 3/4*d**4 + 0*d**2 = 0. Calculate d.
0, 1/2
Let s(z) be the third derivative of z**5/330 + z**4/12 - 26*z**3/33 - 3*z**2 - 25*z. Factor s(v).
2*(v - 2)*(v + 13)/11
Let l be (7 + -4 - 2)*(-10)/(-15). Determine f, given that 2*f + 0 - l*f**2 = 0.
0, 3
Let y = -1276 - -137809/108. Let r(n) be the second derivative of 5*n - 1/180*n**5 + 0*n**3 + 0*n**2 + 0 + y*n**4. What is k in r(k) = 0?
0, 1
Let v(c) be the first derivative of 3 - c + 1/10*c**3 - 1/5*c**2 - 1/100*c**5 + 0*c**4. Let u(f) be the first derivative of v(f). What is s in u(s) = 0?
-2, 1
Let r be (-8)/84 + -1 + 478/420. Let w(q) be the third derivative of 0 + 0*q**3 - 1/12*q**5 + 6*q**2 + 0*q - 1/40*q**6 - 1/24*q**4 + r*q**7. Factor w(l).
l*(l - 1)*(3*l + 1)**2
Let d(b) = -b**2 - 3*b + 3. Let c be d(0). Let 3*o**2 + 3*o**c + o**4 - 4*o**3 - 3*o**2 = 0. What is o?
0, 1
Let q = -119 - -119. Let t(c) be the second derivative of 2/21*c**3 + 1/42*c**4 + 8*c + 1/7*c**2 + q. Factor t(o).
2*(o + 1)**2/7
Let s(n) be the first derivative of 4*n**3/3 - 13*n**2 - 14*n - 7. Factor s(w).
2*(w - 7)*(2*w + 1)
Let m(b) be the first derivative of -3*b**4/28 + 11*b**3/7 - 57*b**2/14 + 27*b/7 - 22. Factor m(t).
-3*(t - 9)*(t - 1)**2/7
Let d(f) be the second derivative of -6*f - 1/6*f**3 + 1/30*f**6 + 0*f**2 + 1/20*f**5 + 0 - 1/12*f**4. Factor d(m).
m*(m - 1)*(m + 1)**2
Let j(h) be the third derivative of 2*h**7/315 - 7*h**6/45 + 16*h**5/15 + 7*h**4/9 - 98*h**3/9 + 398*h**2. Let j(f) = 0. Calculate f.
-1, 1, 7
Let w(t) be the first derivative of -4*t**6/21 + 4*t**5/5 - 8*t**4/7 + 4*t**3/7 + 135. Let w(c) = 0. Calculate c.
0, 1, 3/2
Let c(w) be the first derivative of -2*w**3/27 - 86*w**2/9 - 3698*w/9 - 225. Find p, given that c(p) = 0.
-43
Let g(o) be the first derivative of -o**9/756 - o**8/336 - o**7/840 + 14*o**3/3 - 18. Let a(s) be the third derivative of g(s). Factor a(c).
-c**3*(c + 1)*(4*c + 1)
Suppose -883 = -41*a - 801. Let -6*s**3 - 8/7*s**4 - 6*s**a + 0 - 8/7*s = 0. Calculate s.
-4, -1, -1/4, 0
Let b(c) be the third derivative of c**6/270 + c**5/45 - c**4/6 - 7*c**3/6 - 9*c**2. Let l(k) be the first derivative of b(k). Factor l(f).
4*(f - 1)*(f + 3)/3
Let o(s) be the third derivative of -2*s**5/15 + s**4/4 + s**3/3 - 2*s**2 + 104. Factor o(n).
-2*(n - 1)*(4*n + 1)
Let p(u) be the first derivative of -u**4/6 + 4*u**2 - 2*u - 7. Let j(h) be the first derivative of p(h). Factor j(a).
-2*(a - 2)*(a + 2)
Let u = 24 - 21. Suppose -8*l - u*l**3 - 6*l + 6 + 23*l = 0. Calculate l.
-1, 2
Let x(z) = -z**3 - z**2 + 5*z - 6. Let k be x(-5). Let g be ((-3)/(-4))/(43/8 - 5). Factor 4*m**3 + 65*m**g - k*m**2 - 4*m - 4*m.
4*m*(m - 2)*(m + 1)
Let a(w) be the third derivative of w**5/90 + 11*w**4/18 + 7*w**3/3 - w**2 + 25*w. Factor a(v).
2*(v + 1)*(v + 21)/3
Factor 42*r**2 - 83*r**3 - 54*r**2 + 81*r**3 - r**5 + 2*r**5 + r + 6*r**4 + 6.
(r - 1)**2*(r + 1)**2*(r + 6)
Suppose -51 = -3*m - 45. Suppose -2 = m*f + 3*i, 0*f - 3*i - 10 = -2*f. Solve 0*d + 4/7*d**f + 0*d**3 - 2/7 - 2/7*d**4 = 0 for d.
-1, 1
Let b(w) be the first derivative of 5*w**4/4 + 160*w**3 + 945*w**2/2 + 470*w + 260. Solve b(s) = 0.
-94, -1
Let u(x) be the second derivative of x**4/102 + 5*x**3/17 - 16*x**2/17 + 371*x. Factor u(f).
2*(f - 1)*(f + 16)/17
Suppose -3*b + 0*k = k - 9, -3*b - 3 = -3*k. Factor -b*v**5 - 2*v**3 - 2*v**2 + v**4 + 3*v**5 + 2*v**2.
v**3*(v - 1)*(v + 2)
Let z be (8/(-24))/(1*(-3)/18). Suppose -20 = -4*l, z*l = 2*g + 10 - 6. Find b such that -3/7*b**5 + 6/7*b**2 + 9/7*b - 6/7*b**g + 3/7 - 9/7*b**4 = 0.
-1, 1
Let c(j) = -7*j**2 + 3*j - 11. Let n(k) = -6*k**2 - 12. Let q(p) = 4*c(p) - 5*n(p). Find d, given that q(d) = 0.
-4, -2
Let a(b) be the third derivative of -b**6/420 + 19*b**5/70 - 361*b**4/28 + 6859*b**3/21 - 31*b**2 - 1. Solve a(i) = 0.