 - 660*d**2 = 0.
-2/15, 1
Let r(f) = -4*f**2 + 194*f - 2347. Let l be r(25). Factor 0 + 32/5*g**2 - 4/5*g**l + 0*g.
-4*g**2*(g - 8)/5
Suppose 35 = -3*d + 10*d. Suppose -d*w + 65 = -25. Solve -27 + w*z - 6*z**2 - 2*z**2 + 5*z**2 = 0 for z.
3
Let n be 4/18 + 272/153. Find b, given that b**3 + 14*b**3 - 4*b**3 - 18*b**n - 2 - 2*b**3 + 11*b = 0.
1/3, 2/3, 1
Factor 0 + 1/5*d**2 + 1916/5*d.
d*(d + 1916)/5
Let s(y) = 2*y - 22. Let a be s(2). Let g = 19 + a. Let t(i) = i**3 - i**2 - i. Let o(k) = -14*k**3 + 32*k**2. Let p(v) = g*o(v) + 6*t(v). Factor p(c).
-2*c*(c - 3)*(4*c - 1)
Let t(l) = 29*l**2 - 2303*l - 4929. Let s(u) = 7*u**2 - 579*u - 1232. Let d(z) = -9*s(z) + 2*t(z). Factor d(c).
-5*(c - 123)*(c + 2)
Suppose 27*m = 26*m - 4*z - 28, 4*z = 2*m + 80. Let o be (-26)/(-117) + (-8)/m*-1. Factor 0*a + 0*a**2 - 2/23*a**5 + o - 6/23*a**3 + 8/23*a**4.
-2*a**3*(a - 3)*(a - 1)/23
Let z(s) be the first derivative of 4*s + 4/5*s**5 - 2*s**4 + 78 + 2/3*s**6 + 2*s**2 - 8/3*s**3. Factor z(v).
4*(v - 1)**2*(v + 1)**3
Let c(g) = -g**3 - 29*g**2 - 28*g + 2. Let a be c(-28). Factor -12*t**a - 18*t**2 + 5*t**2 + 131*t - 19 + 34*t + 89.
-5*(t - 7)*(5*t + 2)
Let t(y) be the third derivative of y**8/168 - y**7/7 - 83*y**6/30 - 199*y**5/15 - 121*y**4/4 - 115*y**3/3 - 1816*y**2. Find h, given that t(h) = 0.
-5, -1, 23
Let h(a) be the third derivative of -a**7/350 + 191*a**6/25 - 77877*a**5/10 + 16581184*a**4/5 - 131872229*a**3/10 - 185*a**2 + 3. Factor h(o).
-3*(o - 509)**3*(o - 1)/5
Let x(l) be the third derivative of -l**6/100 + 64*l**5/75 + 35*l**4/12 + 44*l**3/15 + 5157*l**2. Suppose x(v) = 0. What is v?
-1, -1/3, 44
Let q(x) = -12*x - 130. Let u be q(-11). Factor 20*j - 274*j**3 - 22*j**u + 140 + 269*j**3 - 16*j**2 + 3*j**2.
-5*(j - 2)*(j + 2)*(j + 7)
Let b(z) be the third derivative of z**7/70 + 521*z**6/120 - 409*z**5/20 + 293*z**4/8 - 88*z**3/3 + 2015*z**2. Factor b(t).
(t - 1)**2*(t + 176)*(3*t - 1)
Let x(l) be the second derivative of 0 - 1156*l**2 - 68/3*l**3 - 1/6*l**4 + 31*l. Factor x(p).
-2*(p + 34)**2
Let p(l) be the first derivative of -l**4/6 + 22*l**3/9 - 8*l**2 - 24*l + 1490. Factor p(k).
-2*(k - 6)**2*(k + 1)/3
Suppose -5*g - 21 = 3*s, -11686*s + 11689*s + 2*g - 24 = 0. Solve 45/4*u**2 + 3*u**3 + 15/4 - s*u = 0 for u.
-5, 1/4, 1
Solve 96*z + 102*z**4 + 4*z**5 - 40*z**2 + 34*z**4 - 100*z**3 - 96*z**4 = 0.
-12, -1, 0, 1, 2
Let w(r) be the first derivative of -19/8*r**2 - 1/4*r + 25/4*r**4 + 169 - 20/3*r**3. Find a, given that w(a) = 0.
-1/10, 1
Suppose -28*m + 198 = -19*m. Factor -m + 32*y + 0*y**5 + 4 + 2 - y**5 - 16*y**2 + 5*y**4 - 4*y**3.
-(y - 2)**3*(y - 1)*(y + 2)
Let v(o) be the second derivative of o**6/120 + 11*o**5/8 + 4537*o**4/48 + 3465*o**3 + 71442*o**2 - 13*o - 121. Factor v(x).
(x + 27)**2*(x + 28)**2/4
Suppose -125*x - 172 = -126*x + k, x - 5*k = 140. Factor -45/2*p**4 - 54 - x*p - 3/2*p**5 - 435/2*p**2 - 225/2*p**3.
-3*(p + 1)**3*(p + 6)**2/2
Let s be 4 - ((-3)/11 - 2356/(-209)). Let c be 1/s - ((-918)/105 + 8). Let 15 + 6*g + c*g**2 = 0. What is g?
-5
Suppose 6*t + 4919 = 3*a + 5*t, -5 = t. Let r = a + -913. Factor 600*l - 2*l**4 - 180 - 88*l**4 + l**5 + 15*l**4 + 4*l**5 - r*l**2 + 375*l**3.
5*(l - 6)**2*(l - 1)**3
Suppose -13*s + 41 + 58 = 20*s. Let w(p) be the first derivative of 0*p**2 - 12 + 1/42*p**6 - 1/28*p**4 - 2/35*p**5 + 2/21*p**s + 0*p. Factor w(v).
v**2*(v - 2)*(v - 1)*(v + 1)/7
Let g(t) = -t**3 - t**2 + 5*t + 8. Suppose -2*f + 10 = 0, -h + f - 13 = -5*h. Let v(z) = 1. Let c(w) = h*g(w) - 22*v(w). Factor c(a).
-2*(a - 1)**2*(a + 3)
Let w(i) be the first derivative of 3*i**4/4 - 11*i**3 + 24*i**2 + 252*i - 1055. Factor w(c).
3*(c - 7)*(c - 6)*(c + 2)
Suppose -56 = 2085*w - 2099*w. Let m(h) be the first derivative of -9/4*h**4 + 7 + 0*h**2 + 3/5*h**5 + 0*h - w*h**3. Factor m(l).
3*l**2*(l - 4)*(l + 1)
Let o(c) = 6*c + 26. Let y be o(-4). Suppose -4 - 13389*i + 4*i**y + 13389*i = 0. What is i?
-1, 1
Let y(o) be the third derivative of o**6/540 + 13*o**5/45 + 35*o**4/3 + 5800*o**3/27 + 35*o**2 - 18. Suppose y(u) = 0. Calculate u.
-58, -10
Let r = -184434/7 + 26348. Find g, given that 16/7*g**2 - r*g**3 - 40/7*g + 32/7 = 0.
2, 4
Let i(m) be the second derivative of 2*m + 24/11*m**2 + 7/22*m**4 - 14/11*m**3 - 3/110*m**5 + 51. Find s, given that i(s) = 0.
1, 2, 4
Let q = -239 - -234. Let b(n) = n**2 - 6*n - 17. Let l(d) = d**2 - 3*d - 8. Let c(u) = q*l(u) + 2*b(u). Determine w so that c(w) = 0.
-1, 2
Let m(t) be the second derivative of -3*t**5/100 + 9*t**4/20 - 3*t**3/5 - 24*t**2/5 + 1123*t. Let m(x) = 0. What is x?
-1, 2, 8
Let n be 15752/2506 + (1 - (8 - 1)). Let u be 3/21 - 16/112. Let -n*j**3 - 2/7*j**2 + u + 2/7*j + 2/7*j**4 = 0. What is j?
-1, 0, 1
Let b = -26 + 61. Suppose -5*k + b + 25 = 0. Determine v so that k*v**3 + 3*v + 9*v**2 + 11*v**2 + 5*v = 0.
-1, -2/3, 0
Find h, given that -142/11*h**2 + 1240/11 + 1096/11*h + 2/11*h**3 = 0.
-1, 10, 62
Let h(k) = -7*k - 71. Let t be h(-18). Let u(b) = 100*b**3 - 35*b**2 - 10*b. Let d(r) = 11*r**3 - 4*r**2 - r. Let q(p) = t*d(p) - 6*u(p). Factor q(y).
5*y*(y - 1)**2
Let d(l) = -l**2 + 76*l + 89. Let r be 33/(462/(-4)) - (-46)/14. Let v(b) = -2*b**2 + 78*b + 88. Let j(n) = r*v(n) - 2*d(n). Factor j(x).
-2*(x + 1)*(2*x - 43)
Let w = -5894 + 5896. Let o(i) be the third derivative of 3/40*i**5 + 1/16*i**4 - 1/2*i**3 + 0 - 29*i**w + 0*i. Factor o(g).
3*(g + 1)*(3*g - 2)/2
Suppose 0 = -44*a + 53*a - 18. Let 12*h**5 + 444*h**3 + 32*h**a + 4*h**4 - 36*h**4 - 440*h**3 - 16*h = 0. Calculate h.
-1, 0, 2/3, 1, 2
Let k(t) be the third derivative of 0*t - 34 + t**2 + 1/24*t**6 + 245/6*t**3 + 105/8*t**4 + 5/4*t**5. Suppose k(a) = 0. Calculate a.
-7, -1
Solve -504 + 4*p**2 + 204*p + 402*p + 436*p - 542*p = 0.
-126, 1
Let i(d) be the second derivative of -1/6*d**4 - 1/210*d**7 + 4/5*d**2 + 1/75*d**6 - 2/15*d**3 + 1/20*d**5 + 0 - 75*d. What is a in i(a) = 0?
-2, -1, 1, 2
Let s(u) be the third derivative of 10*u**2 - 7/2*u**3 - 1/40*u**6 + 1/8*u**4 + 7/20*u**5 + 0*u + 0. Suppose s(r) = 0. What is r?
-1, 1, 7
Suppose -2*c + k = -6, 3*k = -0*c + 4*c - 12. Suppose -4*d + 2 = c*z, 3*d = z + 4*z - 13. Determine j, given that 40*j - 43 - z*j**2 + 8 - j**2 - 2*j**2 = 0.
1, 7
Find g such that 0*g - 2*g**5 + 16/3*g**2 + 28/3*g**4 + 0 - 40/3*g**3 = 0.
0, 2/3, 2
Let y(h) = -2*h**2 - 2*h - 12. Let b(p) = -3*p**3 - 1950*p**2 - 314934*p - 36. Let i(m) = b(m) - 3*y(m). Find z such that i(z) = 0.
-324, 0
Let l(h) be the second derivative of h**5/20 - 2*h**4/3 + 3*h**3/2 - 5*h**2 + 15*h. Let p be l(7). Factor -w**4 + 6*w**4 - 18*w**4 + 9*w**p.
-4*w**4
Let z(h) = -6*h + 132. Let f be z(19). Suppose 14*l = f*l. Suppose 0 + 1/5*g**4 - 1/5*g**2 - 1/5*g**3 + l*g + 1/5*g**5 = 0. What is g?
-1, 0, 1
Let m be -1236*9/9 - 6. Let s = m - -11210/9. Factor -88/9*w**3 + 4/3*w + 8*w**4 - 20/9*w**5 - 8/9 + s*w**2.
-4*(w - 1)**4*(5*w + 2)/9
Let v = -75 + 77. Determine t, given that 15*t - 4*t**2 + t**2 + 29*t + 3*t**v - 4 - 21*t**2 = 0.
2/21, 2
Suppose -11611*d = -11649*d + 114. Let y(g) be the second derivative of -g - 2/15*g**d - 4/5*g**2 + 0 + 1/5*g**4. Factor y(u).
4*(u - 1)*(3*u + 2)/5
Let a(k) be the first derivative of k**5/150 - k**4/5 + 9*k**3/5 + 19*k**2/2 - 4*k - 40. Let n(o) be the second derivative of a(o). Factor n(r).
2*(r - 9)*(r - 3)/5
Suppose -g - 366 = -2*d, 13*d - 10*d - 1454 = 4*g. Let f = g + 410. Factor -f*a - 128 - 6*a**2 - 1/4*a**3.
-(a + 8)**3/4
Let b(z) be the first derivative of -26*z**3/15 - 314*z**2/5 - 96*z/5 + 2480. Let b(m) = 0. Calculate m.
-24, -2/13
Suppose -11*l - 345 = -6*l. Let g = 72 + l. Determine b, given that -8 + 5 + 3*b**2 + 3 + g*b**3 = 0.
-1, 0
Let p be 4*9/(-144)*-15*1. Let z(m) be the first derivative of 0*m + 17/8*m**3 + 6/5*m**5 - p*m**4 + 11 - 3/8*m**2. Factor z(j).
3*j*(j - 2)*(4*j - 1)**2/8
Let y = -43431/17 + 2559. Let g be (-608)/(-1292)*(20/16 + -1). Factor -y - 24/17*t - g*t**2.
-2*(t + 6)**2/17
Let y(p) be the first derivative of 6*p**3/7 - p**2/7 - 20*p/7 - 5265. Find r, given that y(r) = 0.
-1, 10/9
Let d(a) be the third derivative of a**7/180 - 121*a**6/720 - 193*a**5/180 + 5*a**4/6 + 2*a**2 - 116*a + 5. Factor d(h).
h*(h - 20)*(h + 3)*(7*h - 2)/6
Suppose -2*k - 5*v = 3 + 2, -2*v = -10. Let o be 3 + 5/(k/12) + 3. Factor 7/4*p**o - 4 - 27/2*p.
(p - 8)*(7*p + 2)/4
Su