6 - 3 + 0*g**4 + 0*g**3. Let k(b) be the second derivative of x(b). Factor k(q).
-2*q**2*(q + 1)/7
Let l(d) be the first derivative of 2*d - 2*d**2 + 1/12*d**6 - 1/2*d**5 + 7/8*d**4 + 2 + 1/6*d**3. Solve l(p) = 0 for p.
-1, 1, 2
Find x, given that 10/3*x**4 - 4/9*x**2 + 0*x + 0 - 26/9*x**3 = 0.
-2/15, 0, 1
Let r(n) be the second derivative of n**10/15120 - n**9/7560 + 7*n**4/3 + 8*n. Let g(o) be the third derivative of r(o). What is u in g(u) = 0?
0, 1
Let o(r) = -2*r**2 - 35*r - 46. Let c be o(-16). What is y in 9/4*y**c + 3/4 + 9/4*y + 3/4*y**3 = 0?
-1
Let h be 1*3/54*6*0. Let u(n) be the second derivative of -1/15*n**4 + 2/5*n**2 + 11*n + 0 + h*n**3. Factor u(p).
-4*(p - 1)*(p + 1)/5
Let p(v) be the first derivative of 10*v**3/3 - 85*v**2/2 + 40*v + 135. Factor p(f).
5*(f - 8)*(2*f - 1)
Factor -3*l**2 - 5 - 5 - 2*l**2 + 5*l**4 + 10.
5*l**2*(l - 1)*(l + 1)
Let z(r) be the third derivative of -13*r**7/42 + 107*r**6/72 - 47*r**5/36 - 115*r**4/72 + 5*r**3/9 - 161*r**2. Find n such that z(n) = 0.
-1/3, 1/13, 1, 2
Factor 5/3*c**2 - 140/3*c + 45.
5*(c - 27)*(c - 1)/3
Suppose -3*y = 4*b + 67, -3*y - 2*b = y + 76. Let g = y - -22. Factor -4*l + 4*l**2 - 12*l + 8 + 9*l - g*l.
4*(l - 2)*(l - 1)
Let w = -1467 + 7338/5. Let s(n) be the first derivative of -1/15*n**6 - 8/15*n**3 + 0*n - w*n**4 - 1/5*n**2 - 8/25*n**5 + 6. Factor s(c).
-2*c*(c + 1)**4/5
Let v(t) = -t**2 - 2*t + 2. Let s be v(3). Let n = 13 + s. Suppose -2*b**3 + n*b**5 - 2*b**5 + 4*b**5 = 0. What is b?
-1, 0, 1
Let z be (-14 + -2)/(2/4). Let h be 2/((-4)/z*4). Factor -33*c**2 + 9 - 3 - 5*c**2 + 10*c**3 + 8*c**h + 14*c.
2*(c - 1)**2*(c + 3)*(4*c + 1)
Let k be (3/2)/((-3)/(-4)). Determine d so that 5*d**k + d**2 + 1 - 5*d**2 + 0*d**2 + 2*d = 0.
-1
Suppose -5/2*j**4 + 0*j**3 + 0*j + 5/2*j**2 + 0 = 0. Calculate j.
-1, 0, 1
Let y(j) be the third derivative of j**8/16800 - j**7/1050 + j**6/180 - j**5/75 - j**3/3 - 14*j**2. Let m(n) be the first derivative of y(n). Factor m(t).
t*(t - 4)*(t - 2)**2/10
Find m such that -8*m + 36 - 4/3*m**2 = 0.
-9, 3
Let o(d) = d**2 + 1. Let l(x) = -2*x**4 - 28*x**3 - 27*x**2 - 1. Let t(b) = l(b) + o(b). Determine f, given that t(f) = 0.
-13, -1, 0
Factor -1/7*s**2 + 2/7 + 1/7*s.
-(s - 2)*(s + 1)/7
Let w(n) be the third derivative of -n**6/540 + n**5/270 + 46*n**2. Factor w(c).
-2*c**2*(c - 1)/9
Let b(t) = -t**2 + 5*t - 4. Let u(p) = -p**3 + 9*p**2 + 2. Let l be u(9). Let z be b(l). What is a in -8*a**2 + 4*a**3 + z*a**3 - 3*a**4 + 5*a**2 = 0?
0, 1
Let d(h) be the first derivative of -64*h - 20/3*h**3 + 32*h**2 - 2 + 1/2*h**4. Factor d(u).
2*(u - 4)**2*(u - 2)
Let v(m) be the first derivative of 15*m**7/14 + 11*m**6/6 + m**5/2 - 8*m - 9. Let x(o) be the first derivative of v(o). Determine f, given that x(f) = 0.
-1, -2/9, 0
Let q(l) be the third derivative of l**7/315 + 11*l**6/90 - l**5/90 - 11*l**4/18 + l**2 - 25. Find b such that q(b) = 0.
-22, -1, 0, 1
Let -38088 - 2*s**2 - 100*s - 164*s + 816*s = 0. Calculate s.
138
Let o(a) be the second derivative of a**5/90 + a**4/54 - 8*a**3/27 - 4*a**2/3 - 338*a. Find s, given that o(s) = 0.
-2, 3
Find v, given that 0*v + 2/3*v**4 + 0 - 2/3*v**5 - 2/3*v**2 + 2/3*v**3 = 0.
-1, 0, 1
Let x(t) be the second derivative of -t**4/36 - t**3/9 + 10*t + 3. Factor x(d).
-d*(d + 2)/3
Let s(a) = -4*a**3 - 2*a**2 - 8*a - 4. Let p(u) = -3*u**3 - u**2 - 7*u - 4. Let b(v) = 6*p(v) - 5*s(v). Factor b(c).
2*(c - 1)*(c + 1)*(c + 2)
Let g(j) be the second derivative of j**6/780 - j**4/156 - 8*j**2 + 31*j. Let o(x) be the first derivative of g(x). Let o(m) = 0. Calculate m.
-1, 0, 1
What is j in 4/5 - 41/5*j**2 + 16*j = 0?
-2/41, 2
Let i = 977/4 - 4869/20. Let j(q) be the first derivative of 16/5*q + 1/15*q**3 + 4 - i*q**2. Factor j(h).
(h - 4)**2/5
Let w(v) be the third derivative of v**8/336 - v**7/42 + v**6/20 + 191*v**2. Factor w(z).
z**3*(z - 3)*(z - 2)
Let u(z) be the third derivative of z**6/600 - z**5/75 - 11*z**4/120 - z**3/5 + 2*z**2 + 38*z. Determine l so that u(l) = 0.
-1, 6
Let d(i) be the first derivative of i**2/2 + 20*i - 7. Let a be d(-15). Solve 27*j**2 - 8*j**a - 10*j**2 - 12*j**4 - 13*j**2 = 0.
-1, 0, 1/2
Let y be ((-10)/(-4) - 3)/((-102)/459). Factor 0 + 0*m - m**5 - 3/2*m**3 + y*m**4 + 1/4*m**2.
-m**2*(m - 1)**2*(4*m - 1)/4
Let b = -108 - -109. Let s be 6 + (4 - (b + 7)). Factor 2/7*g + 4/7 - 6/7*g**s.
-2*(g - 1)*(3*g + 2)/7
Suppose -59*y + 56*y + 6 = 0. Solve -12 - 3/4*n**y - 6*n = 0 for n.
-4
Let t(y) be the second derivative of -y**5/5 - 20*y. Factor t(h).
-4*h**3
Suppose f = -2*f + 48. Suppose 107 - 12 = 5*c. Factor -f*q**3 - q + c*q**3 + 5*q**4 - 3*q**4.
q*(q + 1)**2*(2*q - 1)
Let u = -2/83 + 93/415. Let i be ((-2)/5)/(-2) + 0. Suppose -i - u*w**2 + 2/5*w = 0. Calculate w.
1
Factor -22/7*c**2 - 2/7*c**3 + 0 - 20/7*c.
-2*c*(c + 1)*(c + 10)/7
Suppose -g = -0*g. Let r = 4 - g. Factor 0 + v**2 - 2 + 1 + v**2 - v**r.
-(v - 1)**2*(v + 1)**2
Let i(g) = -105*g**4 + 820*g**3 + 25*g**2 - 820*g. Let c(a) = 8*a**4 - 63*a**3 - 2*a**2 + 63*a. Let w(s) = -40*c(s) - 3*i(s). Solve w(m) = 0 for m.
-1, 0, 1, 12
Let o = 74 - 40. Suppose 4*w = -5*n + 41, 7 = 4*w + 3*n - 24. Determine b so that 36*b**5 - 48*b**2 - 26*b**4 - 128*b**3 - o*b**w + 0*b**5 = 0.
-2/3, 0, 3
Factor -1/10*a**3 + 11/5*a + 8/5 + 1/2*a**2.
-(a - 8)*(a + 1)*(a + 2)/10
Let g(l) be the second derivative of -l**5/20 + 7*l**4/12 + l**3/6 - 5*l**2/2 + 3*l. Let h be g(7). Solve 84*i + h*i**4 - 84*i = 0 for i.
0
Factor 27*v + 85*v - 60*v**2 + 7 - 71 + 13*v**3 - v**4.
-(v - 4)**3*(v - 1)
Let s(i) be the second derivative of -i**8/3360 + i**6/360 - i**4/48 - 11*i**3/6 - i. Let j(h) be the second derivative of s(h). Solve j(n) = 0 for n.
-1, 1
Let m(v) be the first derivative of v**6/120 + v**5/20 + v**4/8 + v**3/6 + 4*v**2 - 4. Let p(j) be the second derivative of m(j). Solve p(d) = 0 for d.
-1
Let u(d) = d**4 - 25*d**3 - 22*d**2. Let x(r) = 7*r**4 - 151*r**3 - 132*r**2. Let l(o) = -13*u(o) + 2*x(o). Find p such that l(p) = 0.
-22, -1, 0
Let n(y) = 4*y**2 - 8*y - 8. Let b = -2 + -4. Let d be n(b). Find q such that -240*q**2 - 15*q**4 - 32 - 6*q**4 - 144*q - 9*q**5 - 45*q**4 - d*q**3 = 0.
-2, -2/3
Let c = 26 - 24. Suppose c*w = -f + 7, 11 = -4*w - 5*f + 34. Factor 0*u - 2/11*u**3 + 0 + 0*u**w - 2/11*u**4.
-2*u**3*(u + 1)/11
Let w(z) be the third derivative of -z**5/150 - z**4/20 - 4*z**2 + 10. Solve w(f) = 0.
-3, 0
Let i(h) = h**2 + 22*h + 84. Let d(f) = f**2. Let b(t) = 3*d(t) - i(t). Factor b(r).
2*(r - 14)*(r + 3)
Let k(u) be the first derivative of 3/5*u**3 + 3/25*u**5 - 12/5*u + 3/10*u**6 + 19 - 33/20*u**4 + 12/5*u**2. Let k(a) = 0. What is a?
-2, -1, 2/3, 1
Suppose 0 = 5*d - 9*d + 8. Suppose -5*s**2 - 5*s**d + 5 + 3*s**4 + 2*s**4 + 0*s**2 = 0. Calculate s.
-1, 1
Let m be (-23)/3 - (0 - (7 + 1)). Find c, given that 5/3*c**3 + 4/3*c**2 - m*c + 0 = 0.
-1, 0, 1/5
Let q(p) = -4*p**3 - 41*p**2 + 192*p + 2268. Let d(c) = -4*c**3 - 40*c**2 + 196*c + 2268. Let v(r) = -3*d(r) + 4*q(r). Solve v(g) = 0 for g.
-9, 7
Let n(q) = -q**3 + 7*q**2 - 6*q + 3. Let c = 5 - -1. Let d be n(c). Factor -25*b**2 - 24*b**d + 15*b**2 - 4*b**4 - 26*b**2.
-4*b**2*(b + 3)**2
Let m(z) be the second derivative of z**7/21 + 22*z**6/75 - 167*z**5/50 - 82*z**4/3 - 20*z**3 + 657*z. Determine t, given that m(t) = 0.
-5, -2/5, 0, 6
Let s(r) be the second derivative of -r**7/14 + 2*r**6/15 + 8*r**5/15 - 4*r**4/3 + 8*r**3/9 + 2*r + 116. Suppose s(f) = 0. Calculate f.
-2, 0, 2/3, 2
Let n(h) be the first derivative of h**4 - 52*h**3/3 + 110*h**2 - 300*h + 107. Determine q so that n(q) = 0.
3, 5
Let c(d) be the third derivative of d**8/336 + d**7/105 - d**6/120 - d**5/30 - 84*d**2. Factor c(r).
r**2*(r - 1)*(r + 1)*(r + 2)
Let x(z) be the third derivative of -8/7*z**3 + 26/21*z**4 + 0 - 61/105*z**5 + 1/14*z**6 + 0*z - 22*z**2. What is p in x(p) = 0?
2/5, 2/3, 3
Let w be -5 - (7/(-5) + 0)/(4/20). Let -1/2 + 3*n**w + 5/2*n = 0. What is n?
-1, 1/6
Suppose 0 = -6*i - 47 + 59. Suppose 0 - 1/2*o**i - 1/2*o = 0. Calculate o.
-1, 0
Let t(f) = f**3 + 6*f**2 - 9*f - 9. Let x be t(-7). Let o be ((-2)/x)/(37/(-5) - -5). Determine a so that o*a**2 + 2/3 - 1/2*a**3 + 4/3*a = 0.
-1, -2/3, 2
Let g(o) be the third derivative of -o**6/320 + 11*o**5/160 + o**4/64 - 11*o**3/16 + 117*o**2. Factor g(r).
-3*(r - 11)*(r - 1)*(r + 1)/8