- 9*q**3 + 9*q**2 - 5*q + 6. Let g(i) = 4*f(i) + 3*k(i). Factor g(s).
s*(s - 2)**3
Let t(h) be the third derivative of h**10/36720 + h**9/14280 + h**8/28560 - 13*h**4/8 - 23*h**2. Let q(d) be the second derivative of t(d). Solve q(g) = 0.
-1, -2/7, 0
Let b(u) = 20*u + 382. Let c be b(-19). Factor -32/5 - 2/5*g**c + 16/5*g.
-2*(g - 4)**2/5
Let p be ((-3)/(-2))/((-27)/(-36)). Factor -3*u**3 + 0*u**2 - 2 + p*u**5 - 6*u + 7*u**3 - 4*u**2 + 6*u**4.
2*(u - 1)*(u + 1)**4
Let q(o) = 2*o**4 + 3*o**3 - 2*o**2 - 3*o + 3. Let l(w) = 5*w**4 + 5*w**3 - 5*w**2 - 5*w + 5. Let a(i) = -3*l(i) + 5*q(i). Factor a(u).
-5*u**2*(u - 1)*(u + 1)
Let 30 + 16*t**3 - 55*t - 4*t**3 + 15*t**2 + 3*t**3 - 5*t**4 = 0. Calculate t.
-2, 1, 3
Let z(d) be the second derivative of 15*d - 4/3*d**3 + 0*d**2 + d**4 + 2/5*d**5 + 0 - 2/5*d**6. Solve z(n) = 0.
-1, 0, 2/3, 1
Let j(f) be the second derivative of f**6/12 - 3*f**5/2 + 65*f**4/6 - 40*f**3 + 80*f**2 + 2*f + 7. Determine g so that j(g) = 0.
2, 4
Let f(a) be the second derivative of 1/9*a**3 + 3*a - 1/90*a**6 - 1/30*a**5 + 1/36*a**4 + 0 + 0*a**2. Find w such that f(w) = 0.
-2, -1, 0, 1
Let j = 292 + -1167/4. Let z(f) be the first derivative of -1/12*f**3 - 6 + j*f**2 + 0*f. Factor z(c).
-c*(c - 2)/4
Let d = -21541 + 21543. Factor -7/9*j**d - 4/9 - 11/9*j.
-(j + 1)*(7*j + 4)/9
Factor -288 - 261*c**3 - 120*c + 265*c**3 + 1272*c + 132*c**2 + 1312.
4*(c + 1)*(c + 16)**2
Let k = -1/132 + 199/132. Let n = 74 + -74. Factor 0*p + k*p**3 + 0*p**4 + p**2 - 1/2*p**5 + n.
-p**2*(p - 2)*(p + 1)**2/2
Let u = -185 - -169. Let f(m) = m**2 + 15*m - 16. Let b be f(u). Factor 0*q + b + 8/15*q**2 - 8/15*q**3 + 2/15*q**4.
2*q**2*(q - 2)**2/15
Let d be ((-28)/105)/(-2) - (-43)/15. Let f(j) be the second derivative of 0*j**2 + 0*j**4 + 1/30*j**d + 0 - 1/100*j**5 + j. Solve f(r) = 0 for r.
-1, 0, 1
Let c(m) be the first derivative of 32/3*m**3 - 32*m**2 + 4/5*m**5 + 7*m**4 - 28 + 0*m. Let c(a) = 0. What is a?
-4, 0, 1
Let b = -168 - -169. Suppose -5 = -5*p, 5*p + b = -y + 8. Factor 3/2*z**3 - 4*z**y + 7/2*z - 1.
(z - 1)**2*(3*z - 2)/2
Factor -8/3 - 2/9*g**3 + 2/9*g + 8/3*g**2.
-2*(g - 12)*(g - 1)*(g + 1)/9
Let 0 + 1/3*z**2 - 49/3*z = 0. Calculate z.
0, 49
Suppose 5*p - 25 = -0*x - 3*x, -5*x + 33 = 4*p. Factor -12 - 5*r**p + 12 - 5*r**5 - 15*r**3 + 0*r**2 - 15*r**4.
-5*r**2*(r + 1)**3
Let v = 4159/2271 + 3/1514. Suppose -10/3*a**3 + 4/3*a + v*a**2 + 1/6 = 0. What is a?
-1/4, -1/5, 1
Suppose -7*q - 4*r - 10 = -6*q, -q + 5 = -r. Suppose -4*p**4 - 2/3 + 14/3*p**q + 10/3*p - 10/3*p**3 = 0. What is p?
-1, 1/6, 1
Let p be 920/828 + (-16)/(-18). Factor 0*m + 3/5*m**p + 0.
3*m**2/5
Let h(o) be the first derivative of -o**4/2 + 10*o**3/3 + 32*o**2 + 72*o - 54. Factor h(y).
-2*(y - 9)*(y + 2)**2
Let a(p) be the first derivative of -p**3 - 75*p**2/2 + 78. Factor a(z).
-3*z*(z + 25)
What is n in 0 + 321/2*n**2 - 19/2*n**3 + 17*n = 0?
-2/19, 0, 17
Let o(r) be the second derivative of -r**8/16800 + r**7/4200 - r**5/600 - r**4/4 - 12*r. Let l(v) be the third derivative of o(v). Factor l(d).
-(d - 1)**2*(2*d + 1)/5
Let g(o) be the second derivative of -43*o + 25/12*o**4 - 5*o**3 - 1/4*o**5 + 0*o**2 + 0. Determine s so that g(s) = 0.
0, 2, 3
Suppose -8 = p - 3*p + 2*m, m = 3*p - 12. Let k(o) be the second derivative of o**2 + 11*o + 0 + 1/6*o**p - 2/3*o**3. Factor k(t).
2*(t - 1)**2
Let i(y) be the third derivative of 13*y**8/1344 - 41*y**7/840 + 3*y**6/32 - 19*y**5/240 + y**4/48 - 7*y**2 + 1. Let i(r) = 0. Calculate r.
0, 2/13, 1
Solve 260*g**3 - 1110*g**2 - 14*g**4 - 810*g + 260*g**2 - 7*g**4 - 185*g**2 + 6*g**4 = 0.
-2/3, 0, 9
Let m = 4 + -29. Let r(g) = 5*g**2 + 15*g - 14. Let z(y) = 20*y**2 + 60*y - 55. Let n(k) = m*r(k) + 6*z(k). Determine a so that n(a) = 0.
-4, 1
Find w such that -30*w**3 - 4/3*w**4 - 344/3*w - 284/3*w**2 + 2/3*w**5 - 48 = 0.
-2, -1, 9
Let c be -81 - -78 - ((-76)/18 - -1). Let v(r) be the first derivative of -2/3*r - c*r**3 + 2/3*r**2 - 4. Factor v(a).
-2*(a - 1)**2/3
Let s be 4/(20/6 + -2). Suppose -4*g - 13 = h - 0, s*h - 5*g = 29. Factor -7*k - h*k**2 + 3*k**3 + 4*k + 3 + 0*k.
3*(k - 1)**2*(k + 1)
Let m(t) = -9*t**4 + 40*t**3 + 63*t**2 + 32*t - 6. Let z(k) = 26*k**4 - 119*k**3 - 189*k**2 - 95*k + 17. Let u(c) = 17*m(c) + 6*z(c). Find g such that u(g) = 0.
-1, -2/3, 0, 13
Let p(t) be the first derivative of -t**6/6 - 21*t**5/20 - 29*t**4/16 - t**3/2 + 513. What is f in p(f) = 0?
-3, -2, -1/4, 0
Let o(g) be the third derivative of -4*g**7/315 - 4*g**6/45 - g**5/18 + 25*g**4/36 - g**2 - 5. Suppose o(n) = 0. What is n?
-5/2, 0, 1
Let u(t) be the first derivative of 7*t**2/2 + 28*t - 23. Let o be u(-4). Determine m, given that -6/5*m**3 + 2/5*m**4 + o*m**2 + 8/5*m + 0 = 0.
-1, 0, 2
Let h(c) be the third derivative of -c**5/180 + 17*c**4/72 - 5*c**3/3 + 37*c**2. Factor h(r).
-(r - 15)*(r - 2)/3
Let w(g) = -3*g**2 - 3*g + 2. Let s be w(1). Let z be s - -8 - (-13)/(-4). Solve 0 - 3/4*d**2 - 1/4*d**4 - z*d**3 - 1/4*d = 0.
-1, 0
Let v(m) be the third derivative of -27*m**8/448 + 27*m**7/280 + 9*m**6/20 - m**5/10 - 3*m**4/2 - 2*m**3 + 48*m**2. Solve v(a) = 0 for a.
-2/3, 1, 2
Let a(f) = -7*f + 80. Let j be a(11). Solve 4*x**2 - 8*x**4 - 5*x**3 + j*x**4 + x**4 + 16*x**5 - 11*x**3 = 0 for x.
-1, 0, 1/4, 1
Let s(b) = -2*b**3 + 30*b**2 + 3. Let m be s(15). Let v(r) be the third derivative of -m*r**2 + 0 + 1/2*r**3 + 0*r + 1/24*r**4 - 1/15*r**5. Solve v(f) = 0.
-3/4, 1
Let t(h) be the first derivative of 2*h**6/3 - 4*h**5 + 9*h**4 - 28*h**3/3 + 4*h**2 + 172. Suppose t(n) = 0. What is n?
0, 1, 2
Let w(y) be the second derivative of 0 + 7/165*y**6 - 1/33*y**4 + 28*y + 0*y**2 + 0*y**3 + 1/22*y**5. Determine l, given that w(l) = 0.
-1, 0, 2/7
Suppose 8 - 6 = k. Factor -3*y**2 - y**k - 8 - 19*y + 31*y.
-4*(y - 2)*(y - 1)
Let r(h) be the first derivative of 3/20*h**5 + 7 + 3/20*h**4 - 1/10*h**3 - 3/10*h**2 + 4*h + 1/25*h**6. Let a(l) be the first derivative of r(l). Factor a(c).
3*(c + 1)**3*(2*c - 1)/5
Factor 3/8*x**3 + 45/4*x + 51/8*x**2 + 0.
3*x*(x + 2)*(x + 15)/8
Let w = 1123/5 + -4487/20. Factor -1/4*d**2 - w + 1/2*d.
-(d - 1)**2/4
Let b(g) be the first derivative of -2/3*g**3 - 1/2*g**2 + 2*g - 13 + 1/4*g**4. Factor b(i).
(i - 2)*(i - 1)*(i + 1)
Let r(s) be the third derivative of s**8/16800 - s**7/1400 + s**6/300 - s**5/15 + 17*s**2. Let t(c) be the third derivative of r(c). Let t(m) = 0. Calculate m.
1, 2
Let x(g) be the first derivative of g**4/24 - g**3/9 - 11*g**2/12 + 2*g + 60. Solve x(c) = 0.
-3, 1, 4
Let t(v) be the third derivative of 2/3*v**3 + 4/15*v**7 + 0*v - 11/12*v**4 + 41/60*v**6 + 6*v**2 + 0*v**5 + 0. Determine j, given that t(j) = 0.
-1, 1/4, 2/7
Let h = 42 - 35. Suppose h*f = 2*f + 25. Factor 0 - 2*s**2 + 25/4*s**f + 11*s**3 + 0*s - 35/2*s**4.
s**2*(s - 2)*(5*s - 2)**2/4
Let i(k) be the second derivative of -k**6/6 - k**5/4 + 5*k**4/4 + 25*k**3/6 + 5*k**2 + 2*k + 23. Determine n, given that i(n) = 0.
-1, 2
Let c(r) be the second derivative of r**5/4 + 15*r**4/4 + 45*r**3/2 + 135*r**2/2 + 3*r - 42. Factor c(s).
5*(s + 3)**3
Let p(j) be the third derivative of j**8/161280 - j**7/8064 - j**5/5 - 25*j**2. Let m(r) be the third derivative of p(r). Solve m(u) = 0 for u.
0, 5
Factor 3*o**4 - 3*o**2 + 0 + 1/3*o - 1/3*o**3.
o*(o - 1)*(o + 1)*(9*o - 1)/3
Let f(o) = -o**3 + 5*o**2 + 9*o - 8. Let n be f(6). Factor -n*s + s**2 - 2*s + 18 + s**2.
2*(s - 3)**2
Let k be 2/9 + (12070/(-450) - -27). Let o(d) = -d**3 + 3*d**2 - 1. Let f be o(2). Factor -2/5*c**4 + 0 - 8/5*c + k*c**f + 8/5*c**2.
-2*c*(c - 2)*(c - 1)*(c + 2)/5
Factor -q**3 + 1/7*q**4 + 0 - 6/7*q - 13/7*q**2 + 1/7*q**5.
q*(q - 3)*(q + 1)**2*(q + 2)/7
Let j be (0 + 2 + 0)*2. Let g be 5/(-1) - 3/((-168)/352*1). Solve 12/7*s**2 - 12/7*s**3 + 0*s + g*s**5 - 15/7*s**j + 0 = 0.
-1, 0, 2/3, 2
Let k = 1928/7 + -9633/35. Let i(h) be the second derivative of -k*h**2 - 2*h + 1/30*h**4 + 0 + 0*h**3. Solve i(f) = 0 for f.
-1, 1
Let x(z) be the third derivative of -z**5/60 - 11*z**4/3 + 30*z**3 + 673*z**2. Factor x(l).
-(l - 2)*(l + 90)
Let 0*g**4 - 10*g - 2*g**4 - 3*g**4 - 5*g**5 + 2*g**2 + 7*g**2 - 4*g**2 + 15*g**3 = 0. What is g?
-2, -1, 0, 1
Let z(o) be the first derivative of o**4/18 + 10*o**3/9 + 25*o**2/3 + 250*o/9 + 8. Find f, given that z(f) = 0.
-5
Let y = 32 + -25. Suppose 3*r + 2*b - y*b - 