vative of -v**5/170 + 7*v**4/34 - 56*v**3/51 + 36*v**2/17 - 287*v. Factor x(i).
-2*(i - 18)*(i - 2)*(i - 1)/17
Let w = 290/819 + -12/91. Let y(d) be the first derivative of -8 - 1/3*d**2 + w*d**3 - 4/3*d. Factor y(z).
2*(z - 2)*(z + 1)/3
Let g(h) be the first derivative of -h**4/6 + h**3 - 2*h**2 + 4*h + 14. Let y(p) be the first derivative of g(p). Find k such that y(k) = 0.
1, 2
Find x, given that -21/4*x - 3/2*x**2 + 3/4*x**3 - 3 = 0.
-1, 4
Let a(p) be the second derivative of -p**4/4 + 11*p**3/2 - 15*p**2 - 50*p - 1. Factor a(x).
-3*(x - 10)*(x - 1)
Let q(t) be the first derivative of -3*t**4/8 - 6*t**3 + 81*t**2/4 - 21*t + 35. Suppose q(y) = 0. Calculate y.
-14, 1
Let b be 2 + 11/(-15) - (468/(-45) + 11). Let -b*w + 8/9 - 2/9*w**2 = 0. Calculate w.
-4, 1
Let j(w) = 5*w**3 + 7*w**2 - 14*w + 14. Let r(f) = -f**3 + 7*f + 1. Let h(y) = j(y) + 6*r(y). Factor h(u).
-(u - 10)*(u + 1)*(u + 2)
Let z(i) = -5*i**2 + 7*i + 16. Let v(d) = -11*d**2 + 13*d + 33. Let s(q) = 4*v(q) - 9*z(q). Suppose s(k) = 0. Calculate k.
-1, 12
Let v(c) = -18*c**3 - 376*c**2 - 4590*c - 4232. Let s(q) = -26*q**3 - 564*q**2 - 6886*q - 6348. Let t(w) = -5*s(w) + 7*v(w). Factor t(o).
4*(o + 1)*(o + 23)**2
Let a(r) be the third derivative of -r**6/960 - 3*r**5/160 - r**4/8 - 5*r**3/12 + 2*r**2 + 45*r. Factor a(d).
-(d + 2)**2*(d + 5)/8
Suppose 6 = -5*a - 4*r, 3*a + r + 4*r = -14. Suppose -16 - x + 3*x**a - 9*x**2 + 2*x**2 - 15*x = 0. Calculate x.
-2
Let q(j) be the second derivative of -j**6/30 + 4*j**5/15 - 5*j**4/6 + 4*j**3/3 - 7*j**2/2 + 21*j. Let m(h) be the first derivative of q(h). Factor m(d).
-4*(d - 2)*(d - 1)**2
Suppose 55*d - 11*d = -163*d. Let 0 + d*t + 1/3*t**4 + 0*t**2 - 2/3*t**3 = 0. What is t?
0, 2
Let n = 40584/11 + -81135/22. Let -n*g - 3/4*g**2 + 9/4 = 0. What is g?
-3, 1
Let n(l) be the second derivative of 1/15*l**3 + 0 + 0*l**2 - 10*l + 3/50*l**5 + 1/75*l**6 + 1/10*l**4. Factor n(y).
2*y*(y + 1)**3/5
Let x(c) = c**3 + 11*c**2 + 12*c + 15. Let a be x(-10). Let m = a + 8. Suppose 4*z - 2*z**3 + 2 + 2*z**3 + 0*z**3 - 2*z**4 - 4*z**m = 0. What is z?
-1, 1
Let f be 390/(-624)*2/15*-3. Factor f*z**4 - 1/4*z**2 - 1/2*z**3 + 1/2*z + 0.
z*(z - 2)*(z - 1)*(z + 1)/4
Let s(t) be the third derivative of -t**5/390 + 86*t**4/39 - 29584*t**3/39 + t**2 + 147*t. Factor s(i).
-2*(i - 172)**2/13
Let b = 40 + -27. Let j = -10 + b. Factor j*h**4 + h**2 + h + 7*h**2 + 7*h**3 - 3*h**2.
h*(h + 1)**2*(3*h + 1)
Let k be (-2)/((-8)/(-6) - (-1113)/(-504)). Factor -10/7*c**5 + 0*c - 4/7*c**2 + 0 + k*c**4 - 2/7*c**3.
-2*c**2*(c - 1)**2*(5*c + 2)/7
Suppose -5*l = -4*c + 9*c - 30, -5*l + c + 48 = 0. Let s(u) = 3*u**2 + 18*u + 24. Let f(m) = -6*m**2 - 36*m - 48. Let j(n) = l*s(n) + 4*f(n). Factor j(q).
3*(q + 2)*(q + 4)
Let s(k) = 4*k**5 + 4*k**4 + 8*k**3 + 2*k**2. Let m(o) = 26 - 26 + o**3 + o**5. Let c(r) = -15*m(r) + 5*s(r). Determine b so that c(b) = 0.
-2, -1, 0
Let s(y) = -34*y**2 - 18*y - 116. Let b(x) = -5*x**2 + x. Let r(v) = 35*b(v) - 5*s(v). Factor r(j).
-5*(j - 29)*(j + 4)
Suppose 13*b = 22*b + 9. Let f be (b + 8/6)/(7/6). Let f*q - 1/7 - 1/7*q**2 = 0. Calculate q.
1
Let o(h) = -4*h - 140. Let y be o(-36). Let n be 2/3*6 + 0. Let y*t**n - 4*t**2 + 12*t - 8*t**2 - 4*t = 0. Calculate t.
-2, 0, 1
Let f(x) be the second derivative of 1/3*x**3 + 2/5*x**2 - 7/30*x**4 + 5*x + 0. Factor f(a).
-2*(a - 1)*(7*a + 2)/5
Factor 10*b**2 - 18/5 - 18/5*b - 14/5*b**3.
-2*(b - 3)*(b - 1)*(7*b + 3)/5
Factor 360*k - 307*k - 9*k**3 - 20*k**2 - 9 - 55*k**2.
-(k + 9)*(3*k - 1)**2
Let f(l) = -l**3 + l**2 + l + 7. Let i be f(0). Let y be 2/i*2 - (-6)/(-21). Factor -y*m**5 - 2/7*m**2 - 6/7*m**4 + 0*m - 6/7*m**3 + 0.
-2*m**2*(m + 1)**3/7
Suppose 34 = -1797*i + 1812*i + 4. Factor 6/7*w - 10/7*w**i + 4/7.
-2*(w - 1)*(5*w + 2)/7
Suppose 0 = 58*x - 28*x. Factor 2/9*t**2 + x*t + 0.
2*t**2/9
Let j(g) be the third derivative of 39*g**2 + 10/3*g**3 - 4/15*g**5 + 0*g + 0 - 2/105*g**7 - 1/5*g**6 + g**4. Factor j(d).
-4*(d - 1)*(d + 1)**2*(d + 5)
Determine h so that -87/4*h**3 - 5/4*h**4 - 157/2*h**2 - 93*h - 26 = 0.
-13, -2, -2/5
Let l(x) = -x - 3. Let m be l(-8). Suppose 11 = -7*j + 8*j. Let -11 + 32*n**3 + n**2 + 80*n**4 + 18*n**3 - 10*n - j*n**2 + 13 + 32*n**m = 0. Calculate n.
-1, 1/4
Suppose -3*h**2 + 9*h**3 + 26*h + 3*h**5 + 20*h - 9*h**4 - 46*h = 0. Calculate h.
0, 1
Let q(m) be the second derivative of -m**6/20 - 29*m**5/120 - m**4/3 - m**3/9 + 126*m. Determine f so that q(f) = 0.
-2, -1, -2/9, 0
Let k be 16/(-6)*(-4 - (-414)/144). Find i such that 8/9*i + 4/9*i**2 - 4/9*i**k + 0 = 0.
-1, 0, 2
Let b = -223 - -223. Let g(s) be the second derivative of 0 - 1/30*s**5 + 0*s**2 + 1/18*s**4 - 2*s - 1/45*s**6 + b*s**3 + 1/63*s**7. Let g(h) = 0. What is h?
-1, 0, 1
Let w(n) be the third derivative of n**5/240 - 251*n**4/48 + 63001*n**3/24 + 2*n**2 - 120*n. Determine s so that w(s) = 0.
251
Let z(q) = 26*q**2 - 15*q**2 - 5*q + 8 - 14*q**2. Let j be 1/(-3) - 82/(-3). Let y(w) = -39*w**2 - 66*w + 105. Let i(v) = j*z(v) - 2*y(v). Factor i(o).
-3*(o - 1)*(o + 2)
Let d(p) be the first derivative of -2*p**3/5 - p**2/5 + 4*p/5 + 52. Solve d(w) = 0.
-1, 2/3
Let s(k) be the second derivative of -k**4/108 + 5*k**3/18 + 8*k**2/9 + 15*k. Factor s(o).
-(o - 16)*(o + 1)/9
Suppose -8 = -4*l + 3*v + 11, 0 = -l + 2*v + 6. Suppose -2*n - 16 = -l*a, -4*a + 6 = 5*n + 4. Factor 7/3*t**a + 0 + 1/3*t**4 + 3*t + 5*t**2.
t*(t + 1)*(t + 3)**2/3
Let t(q) be the second derivative of q + 0 + 2*q**2 - 7/3*q**3 + 5/6*q**4. Factor t(d).
2*(d - 1)*(5*d - 2)
Suppose 638 - 234 = 194*z - 372. Suppose -18/11*x**2 - 18/11*x**3 - 36/11 + 6/11*x**z + 6*x = 0. What is x?
-2, 1, 3
Let q = 267 - 265. Let n(o) be the first derivative of 1/2*o**q + 2*o - 1/3*o**3 + 1. Factor n(i).
-(i - 2)*(i + 1)
Let x = 1782 + -1779. Factor -52/3*b**x - 4/3 - 22/3*b - 16*b**2 - 28/3*b**4 - 2*b**5.
-2*(b + 1)**4*(3*b + 2)/3
Suppose -8 = 2*c - 32. Let b = c + -9. Factor -b*g**2 + 1 + 2 - 6 - 9 + 12*g.
-3*(g - 2)**2
Let c(j) be the second derivative of j**5/30 - 11*j**4/18 - 25*j**3/9 - 13*j**2/3 + 496*j. Factor c(r).
2*(r - 13)*(r + 1)**2/3
Let q(d) = -4*d**2 - 60*d. Let b be q(-15). Factor 0*z**3 - 2*z**5 - 1/3*z**4 + 0*z**2 + 0 + b*z.
-z**4*(6*z + 1)/3
Let c(h) be the first derivative of 2*h**7/105 + h**6/10 + h**5/5 + h**4/6 - 6*h**2 - 5. Let s(t) be the second derivative of c(t). Factor s(w).
4*w*(w + 1)**3
Let x(d) = -5*d + 20. Let k(j) = 6*j - 20. Let n(y) = 6*k(y) + 7*x(y). Let c be n(-17). Factor 1/7*w**c - 1/7*w - 1/7*w**2 + 1/7.
(w - 1)**2*(w + 1)/7
What is c in 13*c + 169 + 1/4*c**2 = 0?
-26
Let w = -52 - -56. Suppose w*j - 10 = -4*x + 6, -2*x - 5*j + 20 = 0. Factor 0*d**3 + 6/7*d**5 + 0 + x*d + 2/7*d**4 + 0*d**2.
2*d**4*(3*d + 1)/7
Determine b so that 264/5*b**3 + 42/5*b**4 - 96/5 - 144/5*b**2 - 9*b**5 - 336/5*b = 0.
-2, -2/3, -2/5, 2
Let a be -4 - (-319)/22*1. Determine v, given that 0 - a*v**3 - 9/2*v**5 + 25/2*v**4 + v + 3/2*v**2 = 0.
-2/9, 0, 1
Let o(p) be the second derivative of p**7/21 + 17*p**6/15 + 9*p**5/2 + 43*p**4/6 + 14*p**3/3 + 86*p. Factor o(g).
2*g*(g + 1)**3*(g + 14)
Determine x so that 0 + 0*x**2 + 0*x**4 + 0*x + 1/2*x**5 - 1/2*x**3 = 0.
-1, 0, 1
Let l be (-3 - 196/12) + 2*-1. Let i = l - -22. Solve 1/3*g**5 - 2/3 - i*g**3 - 2/3*g**4 + 4/3*g**2 + 1/3*g = 0 for g.
-1, 1, 2
Let p be (-918)/1260 + (-1)/10*-8. Let l(g) be the second derivative of -1/140*g**5 + 6*g + 0 - 1/28*g**4 - p*g**2 - 1/14*g**3. Factor l(i).
-(i + 1)**3/7
Let m(k) be the third derivative of 0 - 2*k**2 - 19/72*k**4 + 5/9*k**3 + 2/45*k**5 + 27*k + 1/360*k**6. Factor m(r).
(r - 1)**2*(r + 10)/3
Let a be 19/(171/(-36)) - -20*2. Suppose -39*b + 12 = -a*b. Let -3/4*d**2 - 1/2 + 1/4*d**b + 5/4*d - 1/4*d**3 = 0. Calculate d.
-2, 1
Let a(n) be the second derivative of 3*n**5/5 - 9*n**4/4 - 5*n**3 + 9*n**2/2 + 19*n - 1. Find c such that a(c) = 0.
-1, 1/4, 3
Suppose 0 = 3*a - 4*a + 8. Suppose 0 = -0*f - 2*f - a, 0 = 4*w - 4*f - 32. Find k, given that -14*k**2 - 8*k**3 + 14*k**3 + 10*k**w - 6*k + 1 + 3 = 0.
-1, 2/5, 1
Let m = -9 + 9. Suppose u = -m*u + 4. Factor -4*p + 2 + 4*p - u*p**2 + 2*p**2.
-2*(p - 1)*(p + 1)
Suppose -2*p - 1061 = -3*u - 1065, 15 = 3*p. Find b, given that -1/2 - 3/4*b - 1/4*b**u = 0.
-2, -1
Factor 5*v**3 + 355*v**5 - 703*v**5 + 353*v**5 + 10*v**4.
5*v**3*(v + 1)