erivative of 12*l**5/25 - 51*l**4/20 + 24*l**3/5 - 39*l**2/10 + 6*l/5 - 11. Solve m(q) = 0.
1/4, 1, 2
Let w(q) be the second derivative of 2*q**2 + 0 - 2/3*q**3 + 1/12*q**4 + 2*q. Suppose w(n) = 0. Calculate n.
2
Let v(t) = 1. Let x be 1 + (-2)/(-1) + -4. Let c = -11 + 5. Let i(w) = -w**5 - w**4 + 2*w**3 + 2*w**2 - w - 7. Let m(k) = c*v(k) + x*i(k). Factor m(u).
(u - 1)**2*(u + 1)**3
Let j(t) be the third derivative of -t**8/448 - t**7/210 + t**6/120 + t**5/40 - t**4/96 - t**3/12 - 6*t**2. Suppose j(a) = 0. What is a?
-1, 2/3, 1
Suppose -d + 4*d = 120. Let f be d/42 - (-28)/(-98). Factor f - 4/3*g + 2/3*g**2.
2*(g - 1)**2/3
Let q(o) be the second derivative of o**7/3780 - o**6/1080 + o**4/12 + o. Let n(h) be the third derivative of q(h). Factor n(b).
2*b*(b - 1)/3
Let c(d) = -6*d**4 + 20*d**3 - 26*d**2 - 20*d + 36. Let w(l) = 13*l**4 - 41*l**3 + 51*l**2 + 41*l - 73. Let x(r) = 9*c(r) + 4*w(r). Factor x(a).
-2*(a - 4)**2*(a - 1)*(a + 1)
Let c be ((-3)/12)/((-12)/144). Factor 35*f**2 - 49/5*f**c - 88/5*f + 12/5.
-(f - 3)*(7*f - 2)**2/5
Let z = 30 + -28. Let u(m) be the third derivative of -m**z + 2/75*m**5 + 3/20*m**4 + 2/15*m**3 + 0*m + 0. Factor u(f).
2*(f + 2)*(4*f + 1)/5
Let p(v) = 15*v + 12. Let u be p(-5). Let a be (-66)/u - (-8)/28. Factor 2/3 + 4*c**2 - 3*c - a*c**3.
-(c - 2)*(2*c - 1)**2/3
Let l(c) be the third derivative of -c**5/60 + 5*c**4/12 - 3*c**3/2 - 16*c**2. Suppose l(d) = 0. What is d?
1, 9
Let k be 48/(-120) - (-24)/35. Determine m so that 0 + 2/7*m - 2/7*m**4 + 2/7*m**2 - k*m**3 = 0.
-1, 0, 1
Let y(u) be the second derivative of u**9/26460 - u**8/1680 + u**7/294 - u**6/140 + u**4/3 + u. Let i(g) be the third derivative of y(g). Factor i(v).
4*v*(v - 3)**2*(v - 1)/7
Suppose 3*c = -2*w + 3, -4*c - 3*w - w = 0. Factor -5/4*t**4 + 0 - 1/2*t + 2*t**c - 1/4*t**2.
-t*(t - 1)**2*(5*t + 2)/4
Let b(t) = -9*t**2 - 6*t - 9. Let n(d) = d**2 + d. Let c(l) = -b(l) - 12*n(l). Determine j, given that c(j) = 0.
-3, 1
Let k(l) be the third derivative of -7*l**5/20 - 9*l**4/8 - l**3 - 6*l**2. What is o in k(o) = 0?
-1, -2/7
Let k(m) be the second derivative of m**5/20 - m**4/12 - m**3/3 - 3*m. Factor k(c).
c*(c - 2)*(c + 1)
Let o(l) be the first derivative of -l**9/2016 + l**7/280 - l**5/80 + l**3 - 1. Let m(q) be the third derivative of o(q). Factor m(w).
-3*w*(w - 1)**2*(w + 1)**2/2
Let r = -207 + 209. Let 0*v + 0 - 1/6*v**r + 1/6*v**3 = 0. What is v?
0, 1
Let c(r) be the first derivative of -5 + 3/5*r**2 + 2/15*r**3 + 4/5*r. Find p such that c(p) = 0.
-2, -1
Let l(k) be the third derivative of -k**8/1344 + k**7/420 - k**6/480 + 5*k**2. Find d, given that l(d) = 0.
0, 1
Let u(o) be the first derivative of o**3/3 + 9*o**2/2 + 10*o - 1. Let w be u(-8). Factor -2/13 + 6/13*q + 2/13*q**3 - 6/13*q**w.
2*(q - 1)**3/13
Let f = 2/7 + -4/63. Suppose -4/9*d**4 - f*d + 4/9*d**2 + 2/9*d**5 + 0*d**3 + 0 = 0. What is d?
-1, 0, 1
Let x(y) = -2*y**3 - 3*y**2 - 2*y - 2. Let n be x(-2). Suppose n*k - 16 - 2 = 0. Factor 1/2*r**2 + 1/2*r - 1/2 - 1/2*r**k.
-(r - 1)**2*(r + 1)/2
Let x be 1/1*(-26)/(-2). Suppose 3*u = x - 1. Factor u*q**2 + 3*q**3 + 2 - 6*q + q**3 - 10*q**4 + 4*q**4 + 2*q**5.
2*(q - 1)**4*(q + 1)
Suppose 0 = 4*t - 7 + 19. Let v be (t/18)/((-1)/9). Let 5/2*o - 1/2*o**3 - 1/2*o**4 + v*o**2 + 1 = 0. Calculate o.
-1, 2
Let f(u) be the third derivative of -1/160*u**6 + 0 + 0*u + u**2 + 0*u**5 - 1/140*u**7 + 0*u**3 - 1/448*u**8 + 0*u**4. Factor f(g).
-3*g**3*(g + 1)**2/4
Let f(i) be the first derivative of -i**7/2100 - i**6/450 - i**5/300 - 2*i**3/3 + 1. Let b(h) be the third derivative of f(h). Let b(d) = 0. What is d?
-1, 0
Factor -7/8*s + 1/2 + 1/4*s**2 + 1/8*s**3.
(s - 1)**2*(s + 4)/8
Suppose 0 = -5*r - 0*r. Let q(v) = -3*v**2 + 106*v + 76. Let x be q(36). Let -4*h**3 + r + 8/3*h**2 - 2/3*h**5 + 8/3*h**x - 2/3*h = 0. What is h?
0, 1
Suppose -22 = -0*f + 5*f + 3*w, -4*w = 2*f + 20. Let r = f + 4. Find v, given that 4*v**5 + 9*v**4 + 9*v**2 - 7*v**5 - 21*v**r = 0.
-1, 0, 2
Let z(d) be the third derivative of d**6/180 + d**5/15 + d**4/3 - d**3/6 - d**2. Let q(t) be the first derivative of z(t). Find r, given that q(r) = 0.
-2
Let w(y) be the third derivative of -y**5/150 - y**4/15 - 4*y**3/15 + 9*y**2. Solve w(i) = 0.
-2
Let c(a) be the third derivative of -a**7/210 - a**6/120 - a**4/24 - 4*a**2. Let m(o) = -8*o**4 + o**3 + 3*o**2 - 11*o. Let g(j) = -5*c(j) + m(j). Factor g(k).
-3*k*(k - 2)*(k - 1)*(k + 1)
Suppose -12 = 3*a - 0*a. Let h be ((-5)/(5/a))/2. Let -1 + k**5 - 3*k - h*k**2 + 3*k**4 - 2*k**3 + 0*k**4 + 4*k**3 = 0. Calculate k.
-1, 1
Let l(a) be the second derivative of a**4/102 - 7*a**3/51 - 8*a**2/17 + 3*a. Factor l(k).
2*(k - 8)*(k + 1)/17
Factor -1/3*c + 1/3 - 1/3*c**2 + 1/3*c**3.
(c - 1)**2*(c + 1)/3
Let c(y) be the third derivative of -3*y**2 + 1/20*y**6 + 5/16*y**4 + 1/5*y**5 + 0 + 0*y + 1/4*y**3. Factor c(i).
3*(i + 1)*(2*i + 1)**2/2
Let v(r) = r**3 - 4*r**2 - 20*r + 5. Let l be v(-3). Factor 0 - 1/5*a**l + 3/5*a.
-a*(a - 3)/5
Let j(b) = b**3 + 1. Let x(n) = -8*n**3 + 3*n**2 + 3*n - 8. Let s(v) = -5*j(v) - x(v). Solve s(d) = 0 for d.
-1, 1
Let k(x) = x**3 + x**2 - x + 1. Let o(c) = c**3 + 5 + 5*c + 4*c**2 - 2*c**2 - 1 - 4*c. Let r(b) = -2*k(b) + o(b). Factor r(l).
-(l - 2)*(l + 1)**2
Solve -4/3*m + 8/3*m**2 - 8/3 + 4/3*m**3 = 0.
-2, -1, 1
Suppose 5*k - 2*d = 19 + 7, 0 = 4*k + 4*d - 4. Suppose 0 = -h - k*h. Find v, given that -3/5*v**2 + h*v + 4/5 - 1/5*v**3 = 0.
-2, 1
Suppose -6 + 26 = 4*m. Determine n so that n**3 + 2*n - 2*n**4 + 4*n**5 + 4*n**2 - 5*n**3 - 2*n**m + 0 - 2 = 0.
-1, 1
Suppose 3*w - 2*w = 3. Suppose -4 = 13*c - 15*c. Suppose 0 - 1/3*a - 2/3*a**c - 1/3*a**w = 0. What is a?
-1, 0
Let v(p) be the first derivative of -2*p**5/25 + p**4/10 + 5. Suppose v(f) = 0. What is f?
0, 1
Let r be 460/150 - (20/(-6))/(-5). Suppose -64/5*n + r + 68/5*n**2 - 16/5*n**3 = 0. Calculate n.
1/4, 1, 3
Let q(f) be the first derivative of -7*f**3 - 15*f**2/2 + 6*f + 4. Suppose q(c) = 0. Calculate c.
-1, 2/7
Let v be 8 + (1 - 6) + 1. Let f(o) be the second derivative of 1/2*o**2 + 1/24*o**v - 1/4*o**3 + 0 - o. Factor f(j).
(j - 2)*(j - 1)/2
Let h(d) be the first derivative of d**6/18 + 4*d**5/15 - d**4/12 - 4*d**3/9 - 17. Factor h(s).
s**2*(s - 1)*(s + 1)*(s + 4)/3
Let u(y) be the first derivative of -2*y**3/33 - 7*y**2/11 - 12*y/11 - 1. Factor u(m).
-2*(m + 1)*(m + 6)/11
Let r = 50 + -348/7. Determine p so that -2/7*p**2 - r*p**3 + 2/7*p + 2/7 = 0.
-1, 1
Let y(v) be the first derivative of 5*v**6/2 + v**5 - 45*v**4/4 + 5*v**3 + 5*v**2 + 3. Let y(r) = 0. Calculate r.
-2, -1/3, 0, 1
Suppose -3*y = -6*y + 21. Factor -y*z - 3*z - 14 + 2 - 2*z - 3*z**2.
-3*(z + 2)**2
Let s(a) be the third derivative of -a**8/56 + a**7/14 - a**5/4 + a**4/4 + 19*a**2. Find q such that s(q) = 0.
-1, 0, 1/2, 1, 2
Let m be (-145)/(-45) - 4/18. Determine b so that -40*b**2 + 16 + 16 + 16*b + 8*b**m + 4*b**3 = 0.
-2/3, 2
Let p be ((-18)/(-21))/(1/7). Factor 3*a**4 - 15*a**3 - 6 - a - 20*a - p*a**4 - 27*a**2.
-3*(a + 1)**3*(a + 2)
Let a(n) be the second derivative of n**4/54 - n**3/9 - 4*n**2/9 - 3*n. Solve a(g) = 0.
-1, 4
Let w = 4615 + -13705/3. Suppose 80/3*u - w*u**3 - 16/3 - 44/3*u**2 = 0. What is u?
-1, 2/7, 2/5
Let t(c) = 8*c**2 - 20*c - 3. Let d(m) = -17*m**2 + 40*m + 7. Let q(u) = -3*d(u) - 7*t(u). Factor q(o).
-5*o*(o - 4)
Suppose 2*s + 4*z = 22, -s + 7*z - 11*z + 19 = 0. Factor 0*o + 0 + 4/5*o**s + 0*o**2 - 2/5*o**5 - 2/5*o**4.
-2*o**3*(o - 1)*(o + 2)/5
Let j(p) be the third derivative of p**8/6720 - p**7/2520 - p**6/720 - p**5/30 - 3*p**2. Let x(n) be the third derivative of j(n). What is q in x(q) = 0?
-1/3, 1
Let k(b) be the second derivative of -2*b**7/399 - b**6/57 - 3*b**5/190 + b**4/114 + b**3/57 - 5*b. Solve k(w) = 0 for w.
-1, 0, 1/2
Factor -2*o - 26*o**2 - 3*o + 21*o**2.
-5*o*(o + 1)
Let q = 50 - 349/7. Let r(n) be the second derivative of 2/21*n**4 + q*n**2 - 2*n + 0 + 5/21*n**3. Suppose r(w) = 0. What is w?
-1, -1/4
Let g(y) = -y - 5. Let o = -24 + 17. Let w be g(o). Solve -1 + 8 - 9 + 2*n**3 - 6*n**w + 6*n = 0.
1
Let z(u) be the first derivative of u**5/180 - u**2 + 2*u + 2. Let c(n) be the first derivative of z(n). Let b(p) be the first derivative of c(p). Factor b(y).
y**2/3
Let p(w) be the second derivative of w**7/273 + 4*w**6/195 + w**5/26 + w*