e third derivative of t**7/105 + t**6/20 + t**5/30 - t**4/4 - 2*t**3/3 + 5*t**2. Factor w(j).
2*(j - 1)*(j + 1)**2*(j + 2)
Let n(r) = -9*r**4 + 19*r**3 + 25*r**2 - 15*r - 24. Let i(w) = -8*w**4 + 18*w**3 + 25*w**2 - 15*w - 23. Let z(p) = 4*i(p) - 3*n(p). Factor z(a).
-5*(a - 4)*(a - 1)*(a + 1)**2
Let t be (2 - 2)/((-2)/(-2)). Let p be 4 - 1 - (0 - t). Factor -4/3*c**4 + 0 - 2/3*c + 2*c**p + 0*c**2.
-2*c*(c - 1)**2*(2*c + 1)/3
Let c(b) be the first derivative of -1/1260*b**6 - 1/42*b**4 + 0*b + 1 + b**3 - 1/140*b**5 + 0*b**2. Let m(f) be the third derivative of c(f). Factor m(i).
-2*(i + 1)*(i + 2)/7
Let w(r) be the first derivative of -2*r**4/9 - 4*r**3/9 - r**2/3 + 3*r - 1. Let c(p) be the first derivative of w(p). Find v such that c(v) = 0.
-1/2
Suppose -4*j = -16, 8 = -0*b - 2*b + 4*j. Let n(f) be the first derivative of 0*f**2 + 0*f + 1/4*f**b + 1/3*f**3 - 1. Factor n(u).
u**2*(u + 1)
Let q(x) = x**2 + 3*x - 6. Let k be q(-6). Let j be (k/27)/(1/3). What is r in 0 - j*r**2 + 2*r**4 - 2/3*r**3 + 0*r = 0?
-2/3, 0, 1
Let b(f) = -7*f**5 + 15*f**4 - 20*f**3 + 20*f**2 - 15*f - 3. Let p(j) = 3*j**5 - 7*j**4 + 10*j**3 - 10*j**2 + 7*j + 1. Let v(i) = 2*b(i) + 5*p(i). Factor v(a).
(a - 1)**5
Let s(l) be the first derivative of -5*l**3/3 + 15*l**2 + 17. Factor s(k).
-5*k*(k - 6)
Let q = -269 + 2425/9. Factor 4/9 - q*x**2 - 2/9*x + 2/9*x**3.
2*(x - 2)*(x - 1)*(x + 1)/9
Let q be 28/(2 + (-6)/2). Let h be -2*(2 - q/(-12)). Factor -h - 7/3*v - v**2.
-(v + 2)*(3*v + 1)/3
Let w(m) = 6*m**2 - 153*m - 105. Let s(u) = -u**2 + 22*u + 15. Let j(i) = -27*s(i) - 4*w(i). Solve j(y) = 0.
-5, -1
Let h = 102 + -102. Factor -4/3*q**4 + h*q**2 + 0 + 2*q**3 - 2/3*q.
-2*q*(q - 1)**2*(2*q + 1)/3
Let t(y) = y + 5. Let r be t(-3). Factor 0*n + n**2 + 4*n - r*n - 3*n.
n*(n - 1)
Let c = 71 + -68. Let s(g) be the first derivative of 11/8*g**2 + 7/16*g**4 + 1/2*g + 3 + 4/3*g**c. Factor s(q).
(q + 1)**2*(7*q + 2)/4
Suppose -18*w**2 - 22*w + 12*w - 11*w**2 - 2 - 21*w = 0. Calculate w.
-1, -2/29
Let m = -94 + 98. Let c(o) be the second derivative of 0*o**3 + 1/45*o**6 - 1/18*o**m + 0*o**5 + o + 0*o**2 + 0. Factor c(h).
2*h**2*(h - 1)*(h + 1)/3
Let b(t) = -5*t - 1 + 3 + 0 - t**2 + 0. Let x be b(-5). Find o such that x*o**2 + o - 4*o**2 + o**2 = 0.
0, 1
Let q(y) = 2*y**2 - 3*y + 1. Let w(z) = -z**2 + z. Let f(m) = -4*q(m) - 7*w(m). Let u be f(4). Factor u + 0*n**4 + 0*n + 0*n**2 - 1/4*n**5 + 1/4*n**3.
-n**3*(n - 1)*(n + 1)/4
Let h be (-4)/((-16)/12) - 3. Factor h*p + 2/3*p**2 + 0 + 3*p**3.
p**2*(9*p + 2)/3
Find t such that 1/4*t + 1/4*t**4 - 1/4*t**3 - 3/4*t**2 + 1/2 = 0.
-1, 1, 2
Let w be 2/3 + 60/45. Let p(i) be the first derivative of 0*i - 3/16*i**4 + 1 + 1/4*i**3 - 1/8*i**w + 1/20*i**5. Factor p(d).
d*(d - 1)**3/4
Let m(z) be the third derivative of -z**5/12 - 5*z**4/6 - 10*z**3/3 + 18*z**2. Determine l, given that m(l) = 0.
-2
Let s = 74 - 70. Determine p, given that 6/7*p**3 - 6/7*p**2 + 2/7*p - 2/7*p**s + 0 = 0.
0, 1
Factor 4/13*v + 6/13 - 2/13*v**2.
-2*(v - 3)*(v + 1)/13
Let q(k) be the third derivative of -k**6/300 + 2*k**5/75 - k**4/12 + 2*k**3/15 - 5*k**2. Determine s so that q(s) = 0.
1, 2
Let t = -2 + 6. Determine a so that -8*a**t + 12*a**3 + 2*a**5 + a**3 + 4*a**2 + 4 - 5*a**3 - 10*a = 0.
-1, 1, 2
Suppose -2/9*n + 2/9*n**4 - 2/3*n**2 + 2/9*n**3 + 4/9 = 0. What is n?
-2, -1, 1
Factor -15/2*x**2 - 65/2*x - 10.
-5*(x + 4)*(3*x + 1)/2
Let l(v) = -25 + v + 14 + 2*v**2 - 17*v - 3*v**2. Let f be l(-15). Find g such that -1/4 - 2*g**2 + g**5 - 3/2*g + 9/4*g**f + 1/2*g**3 = 0.
-1, -1/4, 1
Let t(s) be the second derivative of -1/10*s**5 - 10*s - s**4 - 4*s**2 + 0 - 3*s**3. Factor t(i).
-2*(i + 1)**2*(i + 4)
Let w(k) = 6*k**4 + 25*k**3 - 5*k**2 - 37*k + 24. Let p(n) = 3*n**4 - 18*n - 6 - 20*n**2 + 17*n**2 + 18 + 12*n**3. Let u(a) = 13*p(a) - 6*w(a). Solve u(v) = 0.
-2, 1
Let i(z) be the third derivative of z**5/100 - z**4/20 - 16*z**2. What is x in i(x) = 0?
0, 2
Let g(i) be the second derivative of i**8/3360 + i**7/420 + i**6/180 + 2*i**3/3 + 9*i. Let a(p) be the second derivative of g(p). Factor a(y).
y**2*(y + 2)**2/2
Let g(y) be the second derivative of 5*y + 0*y**3 + 0 + 0*y**2 + 1/50*y**5 + 1/15*y**4. Suppose g(o) = 0. What is o?
-2, 0
Solve -2 + 2*n**3 - 7*n - n**2 + 5*n + 3*n**2 = 0.
-1, 1
Let g be -1 + (18/2 - 6). Let 1/6*w**g + 0 - 1/3*w = 0. Calculate w.
0, 2
Suppose -6*m - 4*m = -2*m. Let d(y) be the third derivative of m*y + 0 + 2*y**2 - 2/9*y**3 + 1/36*y**5 + 1/9*y**4. Let d(h) = 0. Calculate h.
-2, 2/5
Let x(j) be the second derivative of -j**4/54 + 69*j. Factor x(s).
-2*s**2/9
Determine f so that 2/7 - 2/7*f**2 + 0*f = 0.
-1, 1
Let 1/8*c**3 + 0 + 1/4*c**2 + 1/8*c = 0. What is c?
-1, 0
Let x be ((-4)/(-8) + 1)/(3/6). Solve 9/2 + x*f + 1/2*f**2 = 0 for f.
-3
Factor -4*p**2 - 3 - p**4 + 6*p**3 + 3 - p**4.
-2*p**2*(p - 2)*(p - 1)
Suppose -1 = t - 4*t + 5*l, 5*l - 13 = -4*t. Suppose -t*v = -2*s - 12, 2*s + s = -2*v - 8. Factor 1/3 - o**v - 1/3*o + 1/3*o**3 + 2/3*o**4.
(o - 1)*(o + 1)**2*(2*o - 1)/3
Let l(u) = -u**4 + 4*u**3 + 5*u**2 - 3*u - 3. Let z(j) = -4*j**4 + 20*j**3 + 24*j**2 - 14*j - 14. Let s(c) = -14*l(c) + 3*z(c). Factor s(a).
2*a**2*(a + 1)**2
Let z(h) be the second derivative of -h + 0 + 2/3*h**4 - 1/4*h**5 - h**2 - 1/6*h**3. Factor z(f).
-(f - 1)**2*(5*f + 2)
Suppose 91*a - 1 - a**3 + 93*a - 2*a**2 + 9 - 180*a = 0. Calculate a.
-2, 2
Let v(d) be the first derivative of 1 + 0*d - 2/45*d**5 - 1/9*d**2 - 2/9*d**3 - 1/6*d**4. Solve v(w) = 0.
-1, 0
Let u(v) = -3*v**2 - 2*v - 11. Let z(r) = 2*r**2 + r + 6. Let q(k) = -6*u(k) - 11*z(k). Determine p, given that q(p) = 0.
0, 1/4
Let j(z) = -z**2 + z + 2. Let m be j(0). Factor -w + w**m + 3*w + w**2 - w**2.
w*(w + 2)
Let f(a) be the first derivative of -a**7/420 + a**6/60 - a**4/3 - a**3/3 - 2. Let y(l) be the third derivative of f(l). Factor y(n).
-2*(n - 2)**2*(n + 1)
Suppose 26*p - 4*l - 16 = 21*p, 0 = 5*p + l + 4. Suppose 0*s**2 + p*s - 1/2*s**4 + 1/2*s**3 + 0 = 0. Calculate s.
0, 1
Let i(t) be the third derivative of t**8/168 + t**7/21 + 2*t**6/15 + 2*t**5/15 + 8*t**2. Determine r so that i(r) = 0.
-2, -1, 0
Let i(f) be the first derivative of -f**3 - 21*f**2/2 - 18*f + 31. Factor i(z).
-3*(z + 1)*(z + 6)
Let i be ((-6)/15)/((-20)/275). Let c = i + -5. Factor -n - c + 1/2*n**4 + n**3 + 0*n**2.
(n - 1)*(n + 1)**3/2
Suppose -2*d + 2/3*d**3 + 0*d**2 + 4/3 = 0. What is d?
-2, 1
Let s(z) be the first derivative of z**7/560 + 2*z**3 + 6. Let o(l) be the third derivative of s(l). Factor o(r).
3*r**3/2
Let t(w) be the first derivative of w**3/12 - 3*w**2/4 + 9*w/4 - 1. Determine z so that t(z) = 0.
3
Let g(t) be the second derivative of t**7/140 + t**6/80 + 3*t**2 - 8*t. Let s(k) be the first derivative of g(k). Let s(y) = 0. Calculate y.
-1, 0
Let s(v) = 3*v**2 + 9*v + 9. Suppose 0 = -5*i - x + 2 + 5, 0 = -2*x - 6. Let f(u) = u**2 + 2*u + 2. Let z(q) = i*s(q) - 9*f(q). Factor z(b).
-3*b**2
Let a(f) be the second derivative of -1/9*f**4 + 0 + 1/9*f**7 - 7/30*f**5 + 2/45*f**6 - 2*f + 0*f**2 + 0*f**3. Suppose a(i) = 0. Calculate i.
-1, -2/7, 0, 1
Let r(y) be the third derivative of -y**8/1680 + 4*y**7/525 - y**6/24 + 19*y**5/150 - 7*y**4/30 + 4*y**3/15 + 6*y**2. Find d, given that r(d) = 0.
1, 2
Let g(z) = -z**2 - 10*z - 9. Let b be g(-9). Suppose -2*w + 0*w = b. Find x, given that 14/3*x**4 + 4/3*x**3 - 14/3*x**2 - 4/3*x + w = 0.
-1, -2/7, 0, 1
Let i(p) be the first derivative of -8/7*p - 2/7*p**2 + 4/21*p**3 - 7. Factor i(n).
4*(n - 2)*(n + 1)/7
Let v(f) be the second derivative of f**8/3360 - f**7/1680 - f**6/720 + f**5/240 + f**3/6 - f. Let q(p) be the second derivative of v(p). Factor q(t).
t*(t - 1)**2*(t + 1)/2
Let f(m) be the second derivative of -m**7/2520 + m**4/12 + m. Let n(u) be the third derivative of f(u). Factor n(o).
-o**2
Let f = 367/36 + -76/9. Suppose -1/4*w + 0 + 5/4*w**2 - 9/4*w**3 - 1/2*w**5 + f*w**4 = 0. What is w?
0, 1/2, 1
Let s(m) be the third derivative of -m**5/90 + m**4/36 + 2*m**3/9 + 2*m**2. Factor s(k).
-2*(k - 2)*(k + 1)/3
Factor 2/11*r - 18/11*r**2 - 26/11*r**3 - 10/11*r**4 + 4/11.
-2*(r + 1)**3*(5*r - 2)/11
Determine y, given that -53*y**2 + 2*y**4 - 10*y**3 + 31*y**2 + 28*y**2 + 2*y**5 = 0.
-3, 0, 1
Suppose -119*h = -121*h. Solve h + 0*m**2 - 1/4*m**3 + 1/4*m = 0 for m.
-1, 0, 