 Let z(b) be the first derivative of -192/17*b**2 - 22 + 1024/17*b + 16/17*b**3 - u*b**4. Factor z(v).
-2*(v - 8)**3/17
Let t be ((-12)/(-9) - 2)*-4. Suppose 324 = -4*c + 85*c. Suppose -t*i**2 - 1/3*i**c + 5/3*i**3 + 0 + 4/3*i = 0. Calculate i.
0, 1, 2
Suppose -12*a - 55 - 125 = 0. Let c be (-32)/(-80)*-14*a/18. Solve -4/3*l**4 + 2/3*l**5 - c*l - 4/3*l**3 + 4/3 + 16/3*l**2 = 0.
-2, 1
Let d(q) be the second derivative of 0*q**3 + 0*q**2 + 1/10*q**5 + 13*q + 0 + 0*q**4. Find m such that d(m) = 0.
0
Let t(i) be the first derivative of -2/51*i**3 - 1/17*i**2 + 1/34*i**4 + 2/85*i**5 + 0*i - 63. Suppose t(k) = 0. Calculate k.
-1, 0, 1
Let x = 7231/3267771 - 4/3643. Let c = 4487/1794 - x. Find v, given that -15*v**2 + 10*v**4 - 5/2*v**5 + 0 - c*v**3 + 0*v = 0.
-1, 0, 2, 3
Let d(k) be the third derivative of -2*k**6/45 + 13*k**5/6 - 8*k**4/3 + k**3 - k**2 - 45*k. Let n(o) be the first derivative of d(o). Factor n(m).
-4*(m - 16)*(4*m - 1)
Let c(q) be the second derivative of 0*q**2 + 19*q - 169/35*q**5 + 1/21*q**6 + 2822/21*q**4 + 0 + 2312/21*q**3. Factor c(n).
2*n*(n - 34)**2*(5*n + 2)/7
Suppose 0 = -46*h + 6*h - 320. Let b be (-24)/476*h + (-10)/85. Factor b*m**2 + 6/7 - 8/7*m.
2*(m - 3)*(m - 1)/7
Let o(a) be the first derivative of -48 + 0*a**2 + 6*a**3 + 0*a - 1/4*a**4. Factor o(z).
-z**2*(z - 18)
Suppose 18 = 308*n - 299*n. Let g be n + (-2)/(48/30). Factor 9/2*w + g*w**2 + 15/4.
3*(w + 1)*(w + 5)/4
Let g(v) be the third derivative of -639*v**7/70 - 361*v**6/40 + 421*v**5/30 + v**4/3 + 215*v**2 - 12*v. Find f, given that g(f) = 0.
-1, -2/213, 0, 4/9
Factor 1/6*d**2 - 39*d - 236/3.
(d - 236)*(d + 2)/6
Suppose -2*y + 49 = -9. Let z = y + -27. Factor -5 - 32*j**3 - 499*j + 371*j + 4*j**4 + 69 + 96*j**z.
4*(j - 2)**4
Let z(p) = -39*p - 68. Let d be z(-2). Suppose -26 = -3*g - d*g. Factor -5 + 5/2*j**g + 5/2*j**4 + 15/2*j**3 - 15/2*j.
5*(j - 1)*(j + 1)**2*(j + 2)/2
Let y(x) be the third derivative of x**5/30 + 5*x**4/8 + 3*x**2 + 4. Let u(a) = 6*a**2 + 44*a. Let f(t) = 3*u(t) - 8*y(t). Factor f(h).
2*h*(h + 6)
Let j = -77 - -93. Suppose 7 - 4 + 12*a + 2*a**2 + j - 3 = 0. What is a?
-4, -2
Factor -248/3 + 80*j - 2/3*j**3 - 18*j**2.
-2*(j - 2)**2*(j + 31)/3
Suppose -4/5*c**5 + 72/5*c**3 - 16/5*c**2 + 0 - 12/5*c**4 - 96/5*c = 0. What is c?
-6, -1, 0, 2
Let w(g) be the third derivative of g**5/240 - 689*g**4/48 + 474721*g**3/24 - 699*g**2. Suppose w(k) = 0. Calculate k.
689
Let g be 49/(-14)*(-2)/14*6. Find h, given that -6*h**2 + 352*h**3 - 379*h**g + 0*h**2 - 19*h**5 - 36*h**4 + 4*h**5 = 0.
-1, -2/5, 0
Let j = 37748 - 37744. Let u(x) be the second derivative of 2*x - 1/72*x**j + 1/36*x**3 + 25 + 1/2*x**2. Determine z so that u(z) = 0.
-2, 3
Let w(t) be the first derivative of 361*t**4/12 + 5206*t**3/9 + 1072*t**2/3 + 224*t/3 - 1127. Suppose w(j) = 0. Calculate j.
-14, -4/19
Let x(a) be the first derivative of -2*a**5/45 - 10*a**4/9 - 22*a**3/3 - 88*a**2/9 + 416*a/9 - 10806. Let x(g) = 0. What is g?
-13, -4, 1
Let d = -2211383/9 + 245711. Factor 4/9*u**2 + d + 16/9*u.
4*(u + 2)**2/9
Let j(s) be the third derivative of -1/5*s**3 + 0*s - 7 - 4*s**2 - 47/300*s**5 - 1/50*s**6 - 7/24*s**4. Factor j(n).
-(n + 3)*(3*n + 2)*(4*n + 1)/5
Let r(k) be the second derivative of 34/21*k**3 - 1/42*k**4 + 1 - 289/7*k**2 - 26*k. Factor r(w).
-2*(w - 17)**2/7
Suppose 1751 = -2*p + 5*a, -4430 = 5*p + 2*a - 4*a. Let g = -858 - p. Factor -2/5*u**3 - 6*u**2 - 50 - g*u.
-2*(u + 5)**3/5
Let h(j) be the third derivative of j**6/15 + 233*j**5/5 + 173*j**4/3 - 698*j**3 - 152*j**2 - 15*j. Determine z, given that h(z) = 0.
-349, -3/2, 1
Let p(u) be the third derivative of -1/420*u**7 + 1/30*u**6 + 0 - 1/20*u**5 - 61*u**2 - 5/6*u**4 - 25/12*u**3 + 0*u. Factor p(n).
-(n - 5)**2*(n + 1)**2/2
Let h = -724 + 876. Find s such that -396*s**2 + h*s + 31 + 223*s**3 - 106 - 61*s**3 + 27 + 32 = 0.
2/9, 2
Let w(t) = -1 - 1 - 723*t + 721*t + 8*t**2. Suppose 10*y + 32 - 12 = 0. Let k(b) = -b**2 - 1. Let s(c) = y*k(c) + w(c). Factor s(m).
2*m*(5*m - 1)
Let m(x) = -179*x**2 + 359*x + 1. Let g be m(2). Let b be (6/(-15))/(1/(-2)). Factor 0*c - 1/5*c**g + b*c**2 + 0.
-c**2*(c - 4)/5
Let d(u) = -2*u**3 + 48*u**2 - 45*u - 20. Let p be d(23). Factor -48*q**2 + 7*q**4 + 76*q**2 - 3*q**p + 2*q**4 - 37*q**2 + 3*q**5.
3*q**2*(q - 1)*(q + 1)*(q + 3)
Let u(a) = -a**2 - 25*a + 45. Let x be u(-27). Let q be 10/(-4) + x/(-3). Find t, given that -1/4*t - 1/4*t**2 + q = 0.
-2, 1
Let t(s) = 6*s**3 - 2*s**2 + s. Let f be t(2). Suppose -2*b + 150 + f = 0. Factor -13*z**3 - 3*z**2 + 75*z**2 - 11*z**3 + 48 + 3*z**4 - b*z + 0*z**2.
3*(z - 2)**4
Suppose -88/5*g**2 - 96*g + 16/5*g**3 + 0 + 2/5*g**4 = 0. Calculate g.
-10, -4, 0, 6
Let k(m) be the third derivative of -13*m**2 + 3*m**4 - 2 - 72*m**3 + 0*m - 1/20*m**5. Factor k(u).
-3*(u - 12)**2
Let t(x) be the first derivative of 2*x**3/27 + 406*x**2/3 + 2434*x/9 + 7950. Factor t(s).
2*(s + 1)*(s + 1217)/9
Let u = -18 + 20. Suppose -u*x = -4*x + 144. Solve 6*v**2 - x*v - 3*v**2 - 86 + 330 + 188 = 0 for v.
12
Let s(b) = 15*b + 90. Let v be s(-6). Let r be 0/2*4/(-16). Let r*i + 5/4*i**4 - 5/2*i**3 + v + 5/4*i**2 = 0. What is i?
0, 1
Let z = 859 - 703. Let a be (-14)/(-12) + (-104)/z. Factor -a*f**2 + 8*f - 1/2*f**3 - 10.
-(f - 2)**2*(f + 5)/2
Let i be ((-12)/((-1344)/14))/(750/4468). Let h = 2/375 + i. Factor 9/4*b - h*b**2 + 0.
-3*b*(b - 3)/4
Let j be (-7)/(-2)*(301 + (-44184)/147). Suppose 3*r - r - 1 = -f, -3*f - 2*r + 7 = 0. Factor 3/2 - j*h**2 - 15/4*h**f + 15/4*h.
-3*(h - 1)*(h + 1)*(5*h + 2)/4
Let f = 16499/979 - 186/11. Let u = f - -3575/267. What is i in -4/3*i**2 + u + 12*i = 0?
-1, 10
Let h(j) be the second derivative of 0 + 1/75*j**6 + 1/105*j**7 - 1/25*j**5 + 40*j + 0*j**2 + 0*j**3 + 0*j**4. Factor h(g).
2*g**3*(g - 1)*(g + 2)/5
Let n be 9112/402 + -17 + -3. Factor -17/3*o - 1/3*o**3 + 10/3*o**2 + n.
-(o - 8)*(o - 1)**2/3
Let b(d) be the second derivative of -220*d - 28/3*d**4 + 22/5*d**5 + 0 - 8*d**2 - 16/15*d**6 + 2/21*d**7 + 34/3*d**3. Let b(x) = 0. What is x?
1, 4
Factor 2/11*k**2 + 32/11 - 20/11*k.
2*(k - 8)*(k - 2)/11
Let 3/4*r**3 + 105 + 21/4*r**2 - 66*r = 0. What is r?
-14, 2, 5
Let w(d) be the third derivative of d**8/1512 + d**7/189 - d**6/36 - d**5/54 + 7*d**4/54 - 574*d**2. Suppose w(t) = 0. What is t?
-7, -1, 0, 1, 2
Let j = 757 - 757. Let z(i) be the third derivative of 0 + j*i**6 + 2/315*i**7 + 0*i**3 + 0*i - 1/36*i**4 - 1/45*i**5 + 1/504*i**8 + 9*i**2. Factor z(p).
2*p*(p - 1)*(p + 1)**3/3
Suppose 5*p + 7*p = 36. Factor 22*o**3 + p*o + 6*o**3 - 23 - 9 + 69*o + 132*o**2.
4*(o + 1)*(o + 4)*(7*o - 2)
Let k be ((-13)/4)/((-31)/124). Factor -k*x - 338 + 12*x - 2*x**2 + 53*x.
-2*(x - 13)**2
Let k(s) be the third derivative of 23*s**7/630 - 7*s**6/15 + 38*s**5/15 - 68*s**4/9 + 40*s**3/3 + 2*s**2 - 1526*s. Factor k(f).
(f - 2)**3*(23*f - 30)/3
Let x be 1 + ((-20)/4 - -6). Suppose -4*n - n + 15 = 5*b, 8 = x*b + 4*n. Factor 4/9*a - 2/9 - 2/9*a**b.
-2*(a - 1)**2/9
Let c(i) = -2*i**3 + 10*i**2 + i + 11. Let q be c(5). Let g(w) be the first derivative of -q*w**2 + 7 - 8*w**3 - 1/5*w**5 - 2*w**4 - 16*w. Factor g(b).
-(b + 2)**4
Let b(k) = 54*k**2 - 878*k + 227. Let j be b(16). Factor 3/7*h**4 + 0 + 9/7*h**2 - 9/7*h**j - 3/7*h.
3*h*(h - 1)**3/7
Solve s**4 + 1698*s**2 + 5*s**3 - 200*s + 9*s**3 + 1658*s**2 + s**4 - 3436*s**2 = 0 for s.
-10, -2, 0, 5
Let i(a) be the first derivative of 2*a**3/15 - 318*a**2/5 + 1264*a/5 + 2173. Let i(z) = 0. What is z?
2, 316
Let b(t) be the first derivative of 2*t**5/55 + 95*t**4/11 + 18794*t**3/33 + 35340*t**2/11 + 69192*t/11 + 377. Determine x, given that b(x) = 0.
-93, -2
Let x(z) be the third derivative of 0 - 84*z**2 - 1/16*z**5 + 0*z + 0*z**4 + 1/160*z**6 + 0*z**3. Factor x(t).
3*t**2*(t - 5)/4
Let p(k) be the third derivative of 8*k**7/525 + 47*k**6/30 + 4357*k**5/75 + 808*k**4 - 4224*k**3/5 - 3*k**2 - 10*k - 7. Solve p(g) = 0 for g.
-24, -11, 1/4
Let u(r) be the first derivative of -r**4/4 - 9*r**3 - 48*r**2 - 143*r + 200. Let j(z) be the first derivative of u(z). Find n such that j(n) = 0.
-16, -2
Let z = -169012 - -676049/4. Suppose 0*a + 1/4 - z*a**2 = 0. What is a?
-1, 1
Let v be 15/(-9) + (366/9 - 3). Let g be (-108)/15*(-3)/(v/16). Find u, given that 24/5*u - 3/5*u**2 - g = 0.
4
Factor 2*h**2 + 6521638 + 11164*h 