late g.
0, 1, 2
Let l(b) be the first derivative of b**3 + 75*b**2 + 1875*b - 61. Factor l(n).
3*(n + 25)**2
Let b(a) be the second derivative of -a**5/10 - 45*a**4/2 + 136*a**3/3 - 76*a. Factor b(n).
-2*n*(n - 1)*(n + 136)
Let c(m) be the third derivative of -m**9/12096 + m**7/1008 - m**5/12 + 14*m**2. Let v(i) be the third derivative of c(i). Factor v(y).
-5*y*(y - 1)*(y + 1)
Let n(v) be the third derivative of v**8/896 + v**7/70 + 3*v**6/64 - v**5/40 - 5*v**4/16 - 4*v**2 + 12*v. Find f such that n(f) = 0.
-5, -2, 0, 1
Let z(p) be the first derivative of 5*p**4/4 + 10*p**3/3 - 15*p**2/2 - 226. Factor z(k).
5*k*(k - 1)*(k + 3)
Let s(p) be the second derivative of p**10/151200 + p**9/25200 + p**8/16800 - 10*p**4/3 - 22*p. Let k(f) be the third derivative of s(f). Factor k(u).
u**3*(u + 1)*(u + 2)/5
Let -14/3 + 4/3*j**2 + 26/3*j = 0. What is j?
-7, 1/2
Let g = 14 + -10. Suppose -3*s + 3 = g*r + 9, -5*r = -s + 17. Suppose -5*d**s + 5*d**2 + 12*d - 9*d**3 + 3*d**4 = 0. Calculate d.
-1, 0, 2
Find m such that 1/5 - 9/10*m + m**2 - 3/10*m**3 = 0.
1/3, 1, 2
Let h(m) = -m**2 - 12*m - 7. Let d be h(-11). Factor 5*p**2 + 5*p**d - 10*p**4 + 6*p**3 - 13*p - 2*p + 9*p**3.
-5*p*(p - 3)*(p - 1)*(p + 1)
Factor -40/7 - 2/7*c**2 + 18/7*c.
-2*(c - 5)*(c - 4)/7
Let j = 34 + -32. Suppose -11*v = j*v. Factor -3/4*o**4 + 1/4*o**5 + 0*o**3 + o**2 + v*o + 0.
o**2*(o - 2)**2*(o + 1)/4
Let b be (-91)/(-13) - (2/((-8)/(-20)) - 1). Factor 0*u**2 + 0 + 0*u + 4/7*u**b - 2/7*u**4.
-2*u**3*(u - 2)/7
Let u(i) be the second derivative of -i**4/3 - 64*i**3/3 - 512*i**2 + 21*i + 5. Find o such that u(o) = 0.
-16
Let q be (1/(-1))/1 - -1. Let v(w) = -32*w + 896. Let o be v(28). Factor 2/3*l - 4/3*l**3 + 0*l**2 + 2/3*l**5 + o + q*l**4.
2*l*(l - 1)**2*(l + 1)**2/3
Suppose 2 = -5*g - 3, 3*a + 13 = -g. Let m be (a - (0 + -4))*1/2. Let m + 2/5*d**2 + 2/5*d = 0. Calculate d.
-1, 0
Let k(r) be the second derivative of r**4/6 - 5*r**3/3 - 14*r**2 - 30*r. Determine w, given that k(w) = 0.
-2, 7
Let q(m) be the third derivative of -m**8/47040 + m**7/5880 - 7*m**4/24 - 3*m**2. Let i(z) be the second derivative of q(z). Factor i(x).
-x**2*(x - 3)/7
Let z be (17/4 - -1) + -5. Factor z*s**2 + 3/4*s - 1.
(s - 1)*(s + 4)/4
Let a(b) be the third derivative of b**8/5880 - b**7/735 + b**6/420 + 3*b**3/2 - 18*b**2. Let r(m) be the first derivative of a(m). Factor r(h).
2*h**2*(h - 3)*(h - 1)/7
Let s(t) be the third derivative of -17*t**2 + 0*t + 0 + 0*t**3 - 1/1008*t**8 + 0*t**4 + 0*t**6 - 1/630*t**7 + 0*t**5. Factor s(a).
-a**4*(a + 1)/3
Let r(g) be the second derivative of 8*g - 3/20*g**5 - 3/4*g**4 - 3/2*g**2 - 3/2*g**3 + 0. Factor r(f).
-3*(f + 1)**3
Let z(o) = 2*o - 10. Let i be z(5). Suppose -5*k + 5*r = -30, -5*r - 12 = 4*k - i*r. Let 2*q + 5*q**k + 4 - 10*q - 5*q**2 + 4*q**2 = 0. What is q?
1
Factor 22/13*i**2 + 32/13 + 96/13*i.
2*(i + 4)*(11*i + 4)/13
Let -44/7*s**2 - 16/7*s**4 + 2/7*s**5 + 16/7*s + 6*s**3 + 0 = 0. Calculate s.
0, 1, 2, 4
Let -l**2 + 3 - 3 + 6*l**2 - 4*l**2 = 0. Calculate l.
0
Suppose -7/5*b**2 + 1/5*b**3 - 2/5*b**5 + 1/5*b + b**4 + 2/5 = 0. Calculate b.
-1, -1/2, 1, 2
Determine v so that 489*v - 4*v**2 - 432 - 129*v - v**2 - 70*v**2 = 0.
12/5
Let z = 8 - 11. Let r be 14 + -1 + 2 + z. Factor x**4 - 8*x**2 + 8*x - 8*x - r*x**3 - 5*x**4.
-4*x**2*(x + 1)*(x + 2)
Let l be (6/(-21))/(6/(-42)). Let y(d) be the third derivative of -7/20*d**5 - 15/8*d**4 - 1/40*d**6 - l*d**2 + 0*d - 9/2*d**3 + 0. Factor y(h).
-3*(h + 1)*(h + 3)**2
Let c = 183383/9 - 20319. Factor 62/9*r**2 - c + 2/9*r**3 + 448/9*r.
2*(r - 1)*(r + 16)**2/9
Let s(l) = -2*l**2 - 8*l - 10. Let i be s(-4). Let j = i + 92/9. Determine m so that 0 + 0*m**2 + j*m - 2/9*m**3 = 0.
-1, 0, 1
Let p(s) be the first derivative of 2*s**3/3 - 230*s**2 + 26450*s + 33. Let p(f) = 0. What is f?
115
Let d = 19 + -17. Suppose d*t = -24 + 324. Let -32*y + 105*y - t*y**2 + 138*y - 40 - 31*y + 35*y**3 = 0. What is y?
2/7, 2
Suppose 4*n - y = 3*y + 32, 3*y + 26 = 4*n. Find q such that 0*q**n + 2/9*q**3 - 2/3*q + 4/9 = 0.
-2, 1
Let j = -1/2393 + 23941/26323. Factor -6/11*n**2 - 2/11*n**5 - 14/11*n**3 + 0*n - j*n**4 + 0.
-2*n**2*(n + 1)**2*(n + 3)/11
Suppose -32 - 4/3*j**4 - 64/3*j**3 - 248/3*j - 212/3*j**2 = 0. Calculate j.
-12, -2, -1
Let d(z) be the first derivative of z**4/32 - z**3/8 - z**2/16 + 3*z/8 + 74. Let d(t) = 0. Calculate t.
-1, 1, 3
Let a(m) be the third derivative of -m**7/210 - 7*m**6/120 - m**5/4 - 13*m**4/24 - 2*m**3/3 + 3*m**2 - 30*m. Determine v, given that a(v) = 0.
-4, -1
Let s = 567 + -561. Let z(d) be the third derivative of 0 - 6*d**2 - 9/70*d**5 - 1/1470*d**7 - 27/14*d**3 - 1/70*d**s + 0*d - 9/14*d**4. Factor z(f).
-(f + 3)**4/7
Let u(b) be the second derivative of b**4/20 + 11*b**3 + 1815*b**2/2 + 3*b + 1. Determine r, given that u(r) = 0.
-55
Find l, given that 688/3*l + 2/3*l**2 + 59168/3 = 0.
-172
Let g be (28/18)/(13 - 228/18). Factor -8/9 + 16/3*u - 98/9*u**3 - g*u**2.
-2*(u + 1)*(7*u - 2)**2/9
Let a = -63 - -65. Suppose 0 = -a*b + 4. What is t in -3/2*t**4 + 0 + 0*t - 1/2*t**b - 2*t**3 = 0?
-1, -1/3, 0
Let t(h) be the third derivative of -4*h**7/1155 - 17*h**6/660 - 2*h**5/165 - 26*h**2. Factor t(d).
-2*d**2*(d + 4)*(4*d + 1)/11
Suppose 3*y + 5*k = -0 + 8, 0 = -4*y + 5*k - 1. Let j be (3 + y)*(-4)/(-8). What is x in 12*x**2 - 6*x**j - 5*x**2 - 2*x = 0?
0, 2
Let v(w) = w**3 - 26*w**2 + 56*w - 188. Let x be v(24). Let i = -3 + 5. Suppose 0*s + 0*s**3 - 3/4*s**x - 3/4 + 3/2*s**i = 0. Calculate s.
-1, 1
Let u(r) = -7*r**4 + 24*r**3 + 31*r**2 + 3*r. Let f(a) = 15*a**4 - 48*a**3 - 63*a**2 - 7*a. Let t(z) = -3*f(z) - 7*u(z). Factor t(c).
4*c**2*(c - 7)*(c + 1)
Let d be 5*((-288)/(-20))/9. Suppose 30 = d*s + 14. Find i such that -12/5*i - 24/5 + 6/5*i**s + 3/5*i**3 = 0.
-2, 2
Let h(g) be the first derivative of -4*g**5/5 + 7*g**4 - 20*g**3/3 - 14*g**2 + 24*g + 5. Factor h(y).
-4*(y - 6)*(y - 1)**2*(y + 1)
Let k = 100 - 115. Let r be 3 + 2 + k/5. Factor 8/9*x**r + 8/9*x + 0 + 2/9*x**3.
2*x*(x + 2)**2/9
Let u(d) be the second derivative of -2*d**3/3 - 8*d**2 + 5*d. Let r be u(-5). Let 0*o**2 + 1/2*o**r - 1/2 + o - o**3 = 0. What is o?
-1, 1
Suppose r + 3*r - 12 = 0. Factor -u + 2*u**4 - u**2 - 3*u**3 + 1 + 3*u**3 + u**r - 2*u**2.
(u - 1)*(u + 1)**2*(2*u - 1)
Let d(a) be the third derivative of a**6/30 + 12*a**5/5 + 72*a**4 + 1152*a**3 - 195*a**2. Factor d(o).
4*(o + 12)**3
Let c(l) be the third derivative of -l**8/2184 - l**7/105 - 67*l**6/780 - 57*l**5/130 - 18*l**4/13 - 36*l**3/13 + 9*l**2 + 3*l. Factor c(k).
-2*(k + 2)**2*(k + 3)**3/13
Let h(x) be the second derivative of 0*x**2 + x**4 + 0 + 3*x + 4/3*x**3 + 1/5*x**5. What is q in h(q) = 0?
-2, -1, 0
Let z(p) be the second derivative of -p**4/18 - 5*p**3/3 - 14*p**2/3 - 292*p. Find l such that z(l) = 0.
-14, -1
Let h(s) be the second derivative of s**6/40 - s**5/4 + 7*s**4/8 - 3*s**3/2 + 11*s**2/2 - 8*s. Let t(g) be the first derivative of h(g). Factor t(u).
3*(u - 3)*(u - 1)**2
Let u(s) be the second derivative of -s**6/135 + 2*s**5/45 - s**4/54 - 2*s**3/9 - 954*s. Find q such that u(q) = 0.
-1, 0, 2, 3
Let n(r) be the third derivative of -r**5/210 - 3*r**4/28 - 2*r**3/3 - r**2 + 295. Let n(j) = 0. What is j?
-7, -2
Let b(z) = 4*z**2 - 25*z - 54. Let u be b(8). Let -1/10*j + 1/5*j**u + 1/10*j**3 - 1/5 = 0. What is j?
-2, -1, 1
Let n(l) be the first derivative of -1/10*l**4 + 0*l**3 + 0*l + 1/5*l**2 + 14. Factor n(v).
-2*v*(v - 1)*(v + 1)/5
Factor -150221 + 1494*j - 48192 - 3*j**2 - 482*j + 650*j - 31774.
-3*(j - 277)**2
Let q(z) be the first derivative of -z**4/32 + 4*z**3 - 192*z**2 + 4096*z - 70. Determine s, given that q(s) = 0.
32
Let s(u) be the second derivative of u**5/60 + u**4/18 - u**3/18 - u**2/3 - 746*u. Factor s(h).
(h - 1)*(h + 1)*(h + 2)/3
Let o(i) = -21*i**3 - 62*i**2 + 39*i + 55. Let s(h) = 11*h**3 + 32*h**2 - 19*h - 30. Let z(w) = 6*o(w) + 11*s(w). Factor z(f).
-5*f*(f - 1)*(f + 5)
Let n(k) be the first derivative of k**5/5 - 3*k**4/2 + 11*k**3/3 - 3*k**2 + 195. Factor n(w).
w*(w - 3)*(w - 2)*(w - 1)
Suppose -30*q - 9*q**2 - 28 - 1/2*q**3 = 0. What is q?
-14, -2
Let s be 8/(-20) + 24/35. Let j be (2/3)/((-84)/(-72)). Determine l so that j + 2/7*l - 4/7*l**2 - s*l**3 = 0.
-2, -1, 1
Let a(k) be the second derivative of 0*k**3 + 1/16*k**4 + 0 + 3