k. Let m(o) be the second derivative of l(o). Let m(n) = 0. What is n?
-6, 0, 1
Let q(c) be the second derivative of c**5/10 - 4*c**4/3 + 16*c**3/3 - c + 97. Let q(s) = 0. Calculate s.
0, 4
Factor 18/5*b**2 + 32/5 + 48/5*b + 2/5*b**3.
2*(b + 1)*(b + 4)**2/5
Let l be (-9410)/(-25) + 6/(-15). Factor -3*o**2 + 6 + l*o - o**4 - 380*o + 4*o**3 - 2.
-(o - 2)**2*(o - 1)*(o + 1)
Let m(y) be the second derivative of -y**4/30 - 5*y**3/3 + 54*y**2/5 - 2*y - 5. What is f in m(f) = 0?
-27, 2
Let y(u) be the first derivative of 5*u**3/18 + 55*u**2/12 - 65*u/3 + 265. What is z in y(z) = 0?
-13, 2
Let s(v) be the third derivative of v**5/15 - 16*v**4/3 + 512*v**3/3 - v**2 + 2. Factor s(b).
4*(b - 16)**2
Let r(l) = l**3 - l. Let f(o) = 10*o**3 - 150*o**2 + 3742*o - 31250. Let t(v) = -f(v) + 8*r(v). Find d, given that t(d) = 0.
25
Let k = 21 + -31. Let j = k + 13. Factor -3*n + j*n**2 - n + n**2 + 12*n.
4*n*(n + 2)
Let b = -47 + 49. Solve -l - l**b + 5 + 0 - 2*l - 7 = 0 for l.
-2, -1
Let v(r) be the second derivative of -7*r**5/48 + 65*r**4/96 - 5*r**3/4 - 5*r**2/2 + 30*r. Let u(x) be the first derivative of v(x). Let u(h) = 0. What is h?
6/7, 1
Suppose -2*a = -3*o + a + 21, 4*o - 63 = -3*a. Solve -2 - 10 + 12*x - o*x**3 + 8 - 3*x**2 - 7*x**4 + 14*x**2 = 0 for x.
-2, -1, 2/7, 1
Let z(y) = y**2 + 1. Let a(t) = -2*t**2 + 26*t - 22. Let l(s) = a(s) - 2*z(s). Let d(f) = -4*f**2 + 25*f - 24. Let p(r) = 6*d(r) - 5*l(r). Factor p(u).
-4*(u - 3)*(u - 2)
Let r = 12/203 - 373/9744. Let u(a) be the second derivative of 0*a**2 + 0 - 2*a + r*a**4 + 1/24*a**3. Factor u(z).
z*(z + 1)/4
Let h(n) be the third derivative of n**7/735 + n**6/35 + 6*n**5/35 + n**2 - 50. Let h(f) = 0. Calculate f.
-6, 0
Find g, given that -19*g**3 + 14*g**3 + 32*g + 5*g**2 + 7*g**3 + 9*g**2 + 24 = 0.
-3, -2
Let p(r) = -3*r**2 + 5*r - 4. Let j(t) = -2*t**2 + 5*t - 6. Let d(m) = -2*j(m) + 3*p(m). Factor d(h).
-5*h*(h - 1)
Let s(f) = 2*f**2 + 7*f + 3. Let a be (8/10)/((-28)/70). Let p(q) = 3*q**2 + 8*q + 2. Let l(h) = a*s(h) + 3*p(h). Factor l(c).
5*c*(c + 2)
Let m be 2/(-24)*13220/(-150). Let z = m + -69/10. Find s, given that -26/9*s**2 + z*s + 14/9*s**5 + 0 + 6*s**3 - 46/9*s**4 = 0.
0, 2/7, 1
Let c = 26 + -10. Let j = c + -16. Find h such that 4*h**2 - 5*h**4 - 2 + 2*h - 4*h**3 - 3*h**4 + 6*h**4 + 2*h**5 + j = 0.
-1, 1
Let m = 90 - 88. Let h(d) be the second derivative of d**5 + 4/3*d**3 - 4*d + 0 + 7/3*d**4 + 0*d**m. Find f such that h(f) = 0.
-1, -2/5, 0
Let p(y) be the third derivative of 5*y**8/336 + 2*y**7/21 - 13*y**6/8 + 29*y**5/6 + 35*y**4/6 - 60*y**3 + 84*y**2. Factor p(g).
5*(g - 2)**3*(g + 1)*(g + 9)
Let m(g) be the third derivative of g**9/120960 - g**8/40320 - 3*g**5/20 - 14*g**2. Let b(u) be the third derivative of m(u). Let b(o) = 0. Calculate o.
0, 1
Let x be (15/(-30))/((3/(-18))/((-18)/(-24))). Factor 0 - 3/4*t**4 + 3*t**3 - x*t**2 + 0*t.
-3*t**2*(t - 3)*(t - 1)/4
Let l(j) be the third derivative of -j**5/30 + 235*j**4/6 - 55225*j**3/3 + 48*j**2 - 7. Determine r, given that l(r) = 0.
235
Let w be (-30)/(-12)*(1 + 1). Suppose -w*f + 5*h - 5 = 0, 3*f + 4*h = -0*f + 4. Solve f - 1/2*l**5 - 3*l**3 + 2*l**2 - 1/2*l + 2*l**4 = 0 for l.
0, 1
Solve 2/5*p**3 - 78/5*p - 8 - 36/5*p**2 = 0.
-1, 20
Suppose -2*z = -n - 1, 5*z - 10*n = -6*n - 5. Let g(i) be the second derivative of -1/18*i**4 + 2/9*i**z + i**2 + 3*i + 0. Factor g(p).
-2*(p - 3)*(p + 1)/3
Let s(z) = -z**3 - 7*z**2 + z + 8. Let f(j) = j**3 + 11*j**2 + 12*j + 13. Let t be f(-10). Let k be s(t). Suppose 3 - k + 3 - 14*n**2 + 3 + 24*n = 0. What is n?
-2/7, 2
Let f(y) = 2*y**2 + 126*y - 394. Let a be f(-66). Find o, given that -3/2*o**5 + 0 + 0*o**4 + 3/2*o**3 + 0*o + 0*o**a = 0.
-1, 0, 1
Let q(m) = -6*m + 2. Let b be q(2). Let h = -7 - b. Find n, given that -n**h - 3*n**3 + 0*n**2 + 2*n**2 + 5*n**3 = 0.
-2, 0
Let m be (-28)/49*(-14)/4. Let u(a) = 3*a**2 - 4*a + 2. Let w be u(m). Find l such that -2*l**4 + 0*l**5 - 2*l**5 + w*l**4 + 2*l**4 - 6*l**3 + 2*l**2 = 0.
0, 1
Suppose 0*n + 10 = 5*n. Suppose 6*w**2 + 8*w**n + 30*w - 11*w**3 + 9*w**3 + 18 + 4*w**3 = 0. Calculate w.
-3, -1
Let p = 68 - 65. Find g, given that 8*g + 0 - 5*g + 4 + 3*g - 2*g**p = 0.
-1, 2
Factor -3*g**3 - 7/2*g + 25/4*g**2 + 1/4.
-(g - 1)**2*(12*g - 1)/4
Let -2*t - 9*t**2 + t**2 + 14*t + 4*t**2 = 0. Calculate t.
0, 3
Determine a so that 3 - 2*a**2 - 1/2*a**3 - 1/2*a = 0.
-3, -2, 1
Find x, given that 808*x**3 + 75*x**2 - 40*x - 828*x**3 - 4 - 11 = 0.
-1/4, 1, 3
Let y = 15 + -11. Let i(u) = -u**2 + 27*u + 129. Let z be i(-4). Factor 0*d**y - 1/4*d**z + 1/2*d**3 - 1/4*d + 0*d**2 + 0.
-d*(d - 1)**2*(d + 1)**2/4
Suppose -3*c = 6, -9*p - 4*c = -14*p + 23. Factor 2/5*d**4 + 0 - 2/5*d + 2/5*d**p - 2/5*d**2.
2*d*(d - 1)*(d + 1)**2/5
Let o(w) be the second derivative of 1/2*w**2 - 1/12*w**4 + 26*w + 1/4*w**3 + 0*w**6 - 1/10*w**5 + 0 + 1/84*w**7. Factor o(m).
(m - 2)*(m - 1)*(m + 1)**3/2
Let r = 2/73 - -209/365. Let h(b) be the first derivative of r*b**5 + 3/2*b**4 + 0*b - 3*b**2 - b**3 + 4. Let h(z) = 0. Calculate z.
-2, -1, 0, 1
Let h(l) be the third derivative of l**5/60 + 29*l**4/12 + 19*l**3/2 - 112*l**2. Suppose h(y) = 0. What is y?
-57, -1
Factor -3*u**4 + 107*u**5 - 4*u + u**3 + 0*u**2 + 2*u - 106*u**5 + 3*u**2.
u*(u - 2)*(u - 1)**2*(u + 1)
Let w(z) = z**2 - 14*z + 47. Let m be w(5). Let o(u) be the first derivative of 3/2*u**2 + 3 + m*u**3 - 3*u. Suppose o(n) = 0. Calculate n.
-1, 1/2
Let n(u) be the second derivative of -3*u**5/110 + 23*u**4/11 + 47*u**3/11 + 759*u. Suppose n(f) = 0. Calculate f.
-1, 0, 47
Suppose -s = 3*s - 32. What is y in y**2 + 2*y**2 - 20*y - s*y**2 = 0?
-4, 0
Suppose 4*r + 128 + 92 = 0. Let a be 12/(-3) + 3 + r/(-25). Factor -4/15 - 22/15*w - a*w**2.
-2*(w + 1)*(9*w + 2)/15
Suppose 3*g - 4 = -16. Let i be 8 - 3 - (-1 - g/1). Determine t, given that -14/3*t**3 + 6*t**i - 4/3*t + 0 = 0.
0, 2/7, 1
Let g(o) be the second derivative of -o**8/840 + o**6/180 + 10*o**3/3 - 30*o. Let a(r) be the second derivative of g(r). Let a(h) = 0. Calculate h.
-1, 0, 1
Let b be 59/3 - ((-10)/4 + 3). Let h = b - 19. Suppose -2/3*t**2 + h*t**3 - 1/3 + 5/6*t = 0. What is t?
1, 2
Suppose 22 + 332/11*u**2 + 2/11*u**4 - 48*u - 48/11*u**3 = 0. What is u?
1, 11
Suppose 0*l + 5*l - 5*h - 5 = 0, 4*l + 2*h = 16. Factor 0*r + 4/11*r**l + 0 + 6/11*r**2.
2*r**2*(2*r + 3)/11
Suppose 62 = 5*q - 20*i + 24*i, 0 = -5*q - 5*i + 65. Factor 59/3*j**2 + 3/2*j**4 + 3/2 + 10*j**3 + q*j.
(j + 3)**2*(3*j + 1)**2/6
Suppose -44*b - 22391 = -22479. Factor 2/3*f - 5/3*f**b + 0.
-f*(5*f - 2)/3
Let q = -3/215 - -457/1935. Suppose 0 = 4*i - 9 + 1. Factor 0 + q*n**i + 2/9*n.
2*n*(n + 1)/9
Let o(c) be the second derivative of 8*c - 1/3*c**4 - 4/3*c**3 + 0 + 0*c**2. Factor o(u).
-4*u*(u + 2)
Let i(y) be the third derivative of y**7/2310 + 7*y**6/440 - 2*y**5/55 - y**4/6 - y**2 - 7*y. Factor i(t).
t*(t - 2)*(t + 1)*(t + 22)/11
Let b(d) = -3*d**3 - 142*d**2 + 96*d. Let x be b(-48). Factor x*n + 2/3*n**2 + 0 - 1/3*n**3 - 1/3*n**4.
-n**2*(n - 1)*(n + 2)/3
Let t(j) be the second derivative of 25*j**4/12 + 505*j**3/2 - 305*j**2 - 13*j. Suppose t(i) = 0. Calculate i.
-61, 2/5
Let s(h) be the second derivative of 1/69*h**4 + 0 - 4/345*h**6 - 7/230*h**5 + 15*h + 0*h**2 + 0*h**3. Find t, given that s(t) = 0.
-2, 0, 1/4
Factor 2809 - 53*f + 1/4*f**2.
(f - 106)**2/4
Let a(z) be the first derivative of 5*z**6/6 - 5*z**4/2 + 5*z**2/2 + 148. Let a(u) = 0. What is u?
-1, 0, 1
Let k(s) be the first derivative of -s**3/3 + s**2/2 + 12*s - 16. Let t be k(-3). Find m, given that -1/4*m**5 + 0 + 1/2*m**3 + t*m - 1/4*m**4 + 0*m**2 = 0.
-2, 0, 1
Let t(c) = 5*c**2 - 139*c - 268. Let j(a) = 7*a - 1. Let v(u) = 2*j(u) + t(u). Factor v(o).
5*(o - 27)*(o + 2)
Suppose -7*r = -10*r + 9. Find k, given that -2*k**4 - 3*k**5 + 12*k**2 - 3*k + 2*k**4 - 18*k**r + 12*k**4 = 0.
0, 1
Let w(q) be the first derivative of -q**3/9 + q**2 - 3*q - 126. Factor w(s).
-(s - 3)**2/3
Factor -15*l**2 - 10 - 4 - 4*l**2 + 151*l + 22.
-(l - 8)*(19*l + 1)
Factor 0 + 5/3*u**4 + 125/3*u**2 + 0*u - 50/3*u**3.
5*u**2*(u - 5)**2/3
Let o(s) be the first derivative of s**7/2240 - s**6/240 + 3*s**5/320 - 7*s**3 + 25. Let u(l) be the third derivative of o(l). Factor u(p).
3*p*(p - 3)*(p - 1)/8
Let j(m) be the third derivative of 1/240*m**6 + 34*m**2 + 1/24*m**