, 4
Suppose -4*d + 5*u + 21 = 0, -5*d + 29 = -2*u + 7. Factor -3*h + 6*h**2 - 269*h**5 + 138*h**5 + 134*h**5 - 6*h**d.
3*h*(h - 1)**3*(h + 1)
Let m(j) be the third derivative of -1/19*j**3 - 1/114*j**4 + 1/570*j**5 + 0*j - 240*j**2 + 0. Factor m(a).
2*(a - 3)*(a + 1)/19
Factor -10/3*i**3 + 0 + 2/3*i**4 + 10/3*i - 2/3*i**2.
2*i*(i - 5)*(i - 1)*(i + 1)/3
Let l(g) be the second derivative of -65*g - 1/5*g**5 + 2/3*g**4 + 8*g**2 + 0 + 14/3*g**3. Solve l(t) = 0.
-1, 4
Let c(i) be the first derivative of i**4/22 + 196*i**3/11 + 21609*i**2/11 - 767. Factor c(b).
2*b*(b + 147)**2/11
Let g(z) be the third derivative of z**6/100 - 337*z**5/150 - 113*z**4/30 + 928*z**2. Factor g(n).
2*n*(n - 113)*(3*n + 2)/5
Let s(o) = -12*o**2 + 5115*o + 644. Let w(r) = -115*r**2 + 46035*r + 5795. Let h(f) = 35*s(f) - 4*w(f). Suppose h(v) = 0. Calculate v.
-1/8, 128
Factor 5/7*k**2 - 6177/7*k + 2470/7.
(k - 1235)*(5*k - 2)/7
Suppose 0 = 2*u + 2*y - 6, -25*u = -28*u + 5*y + 17. Factor 668*w**2 - 8*w**3 + u*w**4 - w**4 - 236*w**2 - 64*w**3.
3*w**2*(w - 12)**2
Let b(f) be the first derivative of 4*f**3/15 + 304*f**2/5 + 23104*f/5 + 14. Factor b(a).
4*(a + 76)**2/5
Suppose -5*m = -5*q, 246*m = 4*q + 243*m - 2. Factor 108/7*a + 2916/7 + 1/7*a**q.
(a + 54)**2/7
Let v(d) be the third derivative of d**10/680400 - d**8/90720 - 9*d**5/20 - 33*d**2 - 2*d. Let c(a) be the third derivative of v(a). Let c(o) = 0. Calculate o.
-1, 0, 1
Let g(d) be the first derivative of -21*d + 26 - 13/9*d**3 + 1/12*d**4 + 17/2*d**2. Find c such that g(c) = 0.
3, 7
Let z(t) be the first derivative of -1/2*t**5 - 11/8*t**4 + 197 + 0*t + 1/12*t**6 - 9/2*t**2 + 11/2*t**3. Solve z(p) = 0.
-3, 0, 1, 6
Find t, given that 368*t**3 - t**4 - 766*t**3 - 7 + 369*t**3 - 23 + 29*t + 10*t**2 + 21*t**2 = 0.
-30, -1, 1
Let o(a) be the first derivative of a**6/3 - 12*a**5/5 + 5*a**4/2 + 16*a**3 - 36*a**2 - 6105. Factor o(z).
2*z*(z - 3)**2*(z - 2)*(z + 2)
Factor -497*d + 47147 - 1067 - 296*d**2 - 510*d + 47*d + 301*d**2.
5*(d - 96)**2
Suppose -5877*b + 5862*b + 30 = 0. Let c(w) be the second derivative of 0 + w - 5/12*w**4 - 5/2*w**b - 5/3*w**3. Determine d, given that c(d) = 0.
-1
Let a(m) be the second derivative of 1/8*m**5 + 2*m - 5 + 5/2*m**3 + 0*m**2 + 35/24*m**4. Factor a(j).
5*j*(j + 1)*(j + 6)/2
Factor 486*v + 54*v**2 + 3/2*v**3 + 0.
3*v*(v + 18)**2/2
Let g(r) = 23*r**4 - 36*r**3 - 25*r**2 - 119*r + 34. Let m(a) = 4*a**4 - 6*a**3 - 4*a**2 - 21*a + 6. Let u(t) = -6*g(t) + 34*m(t). Find n such that u(n) = 0.
-1, 0, 7
Let l(q) be the first derivative of 0*q**4 + 0*q**2 + 0*q**3 + 0*q**5 - 306 + 0*q + 5/6*q**6. Factor l(y).
5*y**5
Factor 4/11 - 1670/11*i - 1674/11*i**2.
-2*(i + 1)*(837*i - 2)/11
Let f be 1/((-90)/(-56)) + (-82)/369. Let w(y) be the first derivative of 8/5*y - 1/50*y**5 - 1/5*y**4 - 1/2*y**3 + f*y**2 + 14. Let w(x) = 0. What is x?
-4, -1, 1
Suppose -12 = -2*q + 2*r, -2*q - r - 2 = -q. Solve -39*o**q + 63 + o**3 - 144*o - 3*o**3 - o**3 - 171 = 0.
-6, -1
Suppose -4*f - 5*s + 5513 = 0, -31*f + 4143 = -28*f + s. Let m = 1385 - f. Find g, given that -2*g**m + 4/5 + 18/5*g**2 + 2/5*g**4 - 14/5*g = 0.
1, 2
Let l(z) be the second derivative of z**5/300 + z**4/30 + z**3/10 + 83*z**2/2 - 2*z - 3. Let t(s) be the first derivative of l(s). Factor t(b).
(b + 1)*(b + 3)/5
Let o(h) be the first derivative of -7*h - 1/4*h**4 - 43/4*h**2 - 31/6*h**3 + 131. Factor o(n).
-(n + 1)*(n + 14)*(2*n + 1)/2
Let n be (0 - 2)/(501/(-8016)). Let q(m) be the first derivative of m**4 - n + 5/3*m**3 + 1/5*m**5 + 0*m + m**2. Suppose q(f) = 0. Calculate f.
-2, -1, 0
Let h(z) be the second derivative of -1/165*z**6 - 1/66*z**4 - 2/55*z**5 + 2/11*z**3 + 2 - 6*z + 0*z**2. Suppose h(n) = 0. What is n?
-3, -2, 0, 1
Suppose 21 = 2*a - 5*d, -26*a + 28*a + d = 3. Let b(l) be the second derivative of 1/12*l**4 + 0 - 6*l + 0*l**2 + 0*l**a. Factor b(k).
k**2
Factor -234*n - 699*n**2 + 141 + 698*n**2 + 374*n.
-(n - 141)*(n + 1)
Suppose 509*x + 46 = 253*x + 279*x. Solve x*m**2 + 8/3 - 16/3*m = 0 for m.
2/3, 2
Let d(p) be the first derivative of -2*p**6/3 + 124*p**5/25 + 113*p**4/5 + 452*p**3/15 + 72*p**2/5 - 596. Suppose d(z) = 0. What is z?
-1, -4/5, 0, 9
Let h(v) be the third derivative of -v**7/1960 - v**6/420 + v**5/280 + v**4/28 + 11*v**3/2 + 3*v**2 + 14. Let z(s) be the first derivative of h(s). Factor z(q).
-3*(q - 1)*(q + 1)*(q + 2)/7
Let k(m) be the first derivative of -169*m**7/1260 + 13*m**6/135 - m**5/45 + 2*m**3/3 + 40*m + 70. Let g(r) be the third derivative of k(r). Factor g(q).
-2*q*(13*q - 2)**2/3
Let t(y) be the third derivative of y**5/60 - y**4/24 - y**3/3 - 1251*y**2. Suppose t(z) = 0. Calculate z.
-1, 2
Let j(n) be the third derivative of -n**6/280 + 109*n**5/140 + n**4/56 - 109*n**3/14 + 637*n**2. Factor j(c).
-3*(c - 109)*(c - 1)*(c + 1)/7
Determine l, given that -16*l**4 + 15*l**2 + 4*l**3 - 12472*l + 49*l**2 + 12520*l - 4*l**5 = 0.
-3, -2, -1, 0, 2
Let r be -188*24/(-1104) + 2/(-23). What is c in 0 + 0*c + 5/4*c**3 - c**r - 1/4*c**5 + 0*c**2 = 0?
-5, 0, 1
Let t(y) be the second derivative of y**5/150 + 4*y**4/3 + y + 39. Determine h, given that t(h) = 0.
-120, 0
Find b such that -8*b**2 + 2/3*b**4 + 10/3*b**3 + 160/3 - 88/3*b = 0.
-5, -4, 2
Factor 0*t - 4624/5*t**2 + 408*t**3 + 132/5*t**4 + 0 + 2/5*t**5.
2*t**2*(t - 2)*(t + 34)**2/5
Let q be (-396)/(-1380) + (-978)/138 + 7. Let m(o) be the first derivative of q*o**2 + 1/10*o**4 + 11 + 0*o + 4/15*o**3. Factor m(d).
2*d*(d + 1)**2/5
Let r be (5/3)/((-37)/(-333)). Factor 12*f**2 - 4*f + 69 - r - 9*f**2 + 37*f.
3*(f + 2)*(f + 9)
Let a(n) = -6*n**5 + 5*n**3 + 25*n**2 - 13*n + 13. Let i(u) = -u**5 + u**3 + 4*u**2 - 2*u + 2. Let m(y) = 10*a(y) - 65*i(y). Factor m(h).
5*h**2*(h - 2)*(h + 1)**2
Let c = 1390 + -179311/129. Let v = 343/129 - c. Let 0 - 4*u**2 + v*u + 4/3*u**3 = 0. What is u?
0, 1, 2
Let s(o) be the first derivative of -o**7/42 - 2*o**6/15 - o**5/4 - o**4/6 - o - 34. Let y(d) be the first derivative of s(d). Factor y(k).
-k**2*(k + 1)**2*(k + 2)
Suppose 63*a - 62*a = 2. Factor 30*i**a - 16 - 7*i - 9*i**3 - 83*i + 22*i**2 + 30*i.
-(i - 4)*(i - 2)*(9*i + 2)
Let s be (-28)/32*5*(-260)/364 - 3. Let s*w**2 - 3/8*w + 1/4 = 0. What is w?
1, 2
Let l(r) = r**2 + 4*r - 68. Let v be l(-11). Let t be ((-195)/27 + v)/1. Factor -2/9*o**3 - t - 4/3*o**2 - 8/3*o.
-2*(o + 2)**3/9
Let n be 6383/(-52) + -2 + -1 + 5. Let x = 1453/12 + n. Factor 1/3*d + 2/3 - x*d**2.
-(d - 2)*(d + 1)/3
Let o(m) = m. Let f(h) = 5*h**3 - 17*h + 10. Let n be -3 + 22/(1 + -3). Let k = n + 16. Let z(d) = k*o(d) + f(d). Factor z(y).
5*(y - 1)**2*(y + 2)
Factor 1/5*o**2 + 0 + 31*o.
o*(o + 155)/5
Let o be (-2964)/(-399) + -9 + 892/532. Solve 4/19*d**2 + 6/19*d + 0 - o*d**3 = 0.
-1, 0, 3
Let q(s) = s**3 - 27*s**2 + 27*s - 23. Let o be q(26). Determine z, given that -2*z**o + 3*z - z**3 - 107 + 233 - 15*z**2 - 111 = 0.
-5, -1, 1
Suppose -14072*n = -14088*n + 336. Let h(x) be the third derivative of 1/660*x**6 + 0*x**3 + 1/165*x**5 + 0 + n*x**2 + 0*x**4 + 0*x. Factor h(r).
2*r**2*(r + 2)/11
Let h(y) be the third derivative of -y**5/480 + 13*y**4/48 - 17*y**3/16 + 964*y**2. Factor h(c).
-(c - 51)*(c - 1)/8
Factor -1/2*m**2 - 1/4*m**3 + 0*m + 0 + 1/4*m**4.
m**2*(m - 2)*(m + 1)/4
Suppose 4129*h = 4128*h - 2*w - 14, 16 = -2*w. What is f in -108*f - 243/4*f**h - 48 = 0?
-8/9
Let i = 131 + -128. Suppose i*c**3 - 311*c + c**3 + 313*c - 2*c**3 - 4*c**2 = 0. What is c?
0, 1
Let q(k) = 5*k**2 + 730*k - 8143. Let d(h) = -5*h**2 - 735*h + 8144. Let b(g) = -7*d(g) - 6*q(g). Factor b(c).
5*(c - 10)*(c + 163)
Let d = 225581/80565 + 1/80565. Factor 16/5*q**2 - 6/5*q**3 + 4/5 - d*q.
-2*(q - 1)**2*(3*q - 2)/5
Let n(g) be the third derivative of 0*g + 17/6*g**4 + 136*g**2 + 0 + 4/15*g**5 - 1/10*g**6 - 4*g**3. Let n(a) = 0. Calculate a.
-2, 1/3, 3
Suppose 0 = 5*v - 23 - 52. Let k = v + 8. Factor -104*f**2 + 7*f**3 + 20 - 26 - 49*f - k*f**3.
-(f + 6)*(4*f + 1)**2
Let z(s) be the third derivative of 2 - 11/24*s**4 - 3*s**3 - 1/60*s**5 + 17*s**2 + 0*s. Find c such that z(c) = 0.
-9, -2
Let b(a) be the second derivative of -3*a**5/20 + 551*a**4/4 + 276*a**3 - 2323*a. Factor b(o).
-3*o*(o - 552)*(o + 1)
Let j(z) = 3*z**2 - 560*z + 80664. Let f(p) = -7*p**2 + 1116*p - 161332. Let l(g) = -2*f(g) - 5*j(g). Find q, given that l(q) = 