-45) - (-4)/30. Factor -6*m**4 + 4*m**2 + h*m**4 - 5*m**4 + 4*m**4.
-4*m**2*(m - 1)*(m + 1)
Factor 75*i**2 + 52*i**4 - 17*i**4 + 90*i**3 + 122057*i - 122037*i.
5*i*(i + 1)**2*(7*i + 4)
Let m = 13443/33620 + 1/6724. Factor -18/5 - m*l**3 + 2*l**2 - 6/5*l.
-2*(l - 3)**2*(l + 1)/5
Let k(x) be the third derivative of 3*x**2 - 1/240*x**5 + 1/48*x**4 + 0 + 1/8*x**3 + 0*x. Solve k(b) = 0.
-1, 3
Factor 0*j**3 - 75 + 120*j - 24*j**3 - 18*j**2 + 57*j**4 - 60*j**4.
-3*(j - 1)**2*(j + 5)**2
Let u = -33 - -36. Factor -2*d - 3*d**u + d**3 + 0*d**3 + 4*d**2.
-2*d*(d - 1)**2
Factor -668/15*f + 2/15*f**2 + 55778/15.
2*(f - 167)**2/15
Let l(j) be the second derivative of -j**8/33600 - j**7/6300 + j**6/900 + j**5/75 + 5*j**4/6 + 24*j. Let u(w) be the third derivative of l(w). Solve u(g) = 0.
-2, 2
Let f(n) be the first derivative of n**6/840 - n**5/40 - n**4/7 - 23*n**3/3 - 39. Let t(y) be the third derivative of f(y). Find c such that t(c) = 0.
-1, 8
Let y(u) be the first derivative of -u**3/3 + 17*u**2/2 + 5*u - 1. Let l be y(17). Factor -6*i**2 - 2*i**3 - 2*i**2 + l*i**3 + i**3 + 4*i.
4*i*(i - 1)**2
Let t(h) be the second derivative of -h**6/90 + 2*h**5/15 - h**4/2 - 7*h**3/3 + 11*h. Let g(x) be the second derivative of t(x). Solve g(o) = 0 for o.
1, 3
Let w(z) be the second derivative of -1/28*z**4 + 33*z + 1/14*z**3 + 3/7*z**2 + 0. Factor w(t).
-3*(t - 2)*(t + 1)/7
Let a be 27/45*(1 - -4). Solve -3/2*l**2 - a - 9/2*l = 0.
-2, -1
Let r(i) be the first derivative of -i**4/16 + 11*i**3/12 - 35*i**2/8 + 25*i/4 + 637. Factor r(x).
-(x - 5)**2*(x - 1)/4
Let a be (-2)/4 - (-18)/28. Let s be 2 + 2*142/(-168) + 1193/(-7158). Factor a*o - s*o**3 + 0*o**2 + 0.
-o*(o - 1)*(o + 1)/7
Suppose -11 = -s - 7. Suppose 8*n - 21 = 3*n + x, 5*n = s*x + 24. Let -5*v**3 + 3*v**3 + 2*v**n - v**3 + v**2 = 0. Calculate v.
0, 1/2, 1
Factor 1/3*t**2 + 56/3*t + 0.
t*(t + 56)/3
Factor -676/5 + 13*k + 1/5*k**3 + 22/5*k**2.
(k - 4)*(k + 13)**2/5
Let p be ((-8)/(-1200)*-5)/((-5)/15). Let h(g) be the third derivative of -2*g**2 + 0*g + 0*g**3 - p*g**7 + 0*g**4 + 9/40*g**6 - 1/10*g**5 + 0. Factor h(x).
-3*x**2*(x - 1)*(7*x - 2)
Let i(g) be the second derivative of g**6/90 - 15*g**5/4 + 4181*g**4/12 + 12769*g**3/18 - g - 69. Let i(y) = 0. What is y?
-1, 0, 113
Factor -1/2*c**2 + 7/2*c**3 - 5/4*c**4 - 13/4*c - 1/4*c**5 + 7/4.
-(c - 1)**3*(c + 1)*(c + 7)/4
Let s(i) be the third derivative of -5/6*i**4 - 12*i**2 - 1/2*i**5 + 0 + 0*i - 5/6*i**3 - 1/6*i**6 - 1/42*i**7. Solve s(x) = 0.
-1
Let x(v) be the second derivative of 0*v**2 + 0 + 1/9*v**4 - 1/9*v**3 - 1/30*v**5 + 4*v. Factor x(b).
-2*b*(b - 1)**2/3
Let y(g) be the second derivative of g**4/30 + 4*g**3/5 + 32*g**2/5 - 685*g. Suppose y(n) = 0. Calculate n.
-8, -4
Factor 1 - 2/3*d - 1/3*d**2.
-(d - 1)*(d + 3)/3
Let 3*a**5 + 3*a**3 + 6 - 9*a**3 + 110*a + 111*a - 13*a**2 - 218*a + a**2 + 6*a**4 = 0. Calculate a.
-2, -1, 1
Let l(s) be the second derivative of -s**5/20 - 5*s**4/12 - 2*s**3/3 - 27*s + 2. Find w such that l(w) = 0.
-4, -1, 0
Factor 0 + 0*z**4 + 6/7*z**3 + 0*z**2 - 3/7*z**5 - 3/7*z.
-3*z*(z - 1)**2*(z + 1)**2/7
Let r(g) be the second derivative of -g**5/70 + 5*g**4/21 - 16*g**3/21 + g + 5. Factor r(v).
-2*v*(v - 8)*(v - 2)/7
Solve 1/3*k**4 + 20 + 181/3*k + 61*k**2 + 21*k**3 = 0 for k.
-60, -1
Let a = 7 - 7. Let q be (-2)/2*(-2 + a). Factor -5*w**3 - 2*w**q + 2*w + 4*w**3 - 3*w.
-w*(w + 1)**2
Let z(y) be the second derivative of 2*y**7/21 - y**6/5 + y**4/6 + 2*y + 1. Solve z(d) = 0.
-1/2, 0, 1
Let u(z) be the third derivative of -9*z**3 - 3/10*z**5 + 14*z**2 - 9/4*z**4 + 0 - 1/60*z**6 + 0*z. Factor u(b).
-2*(b + 3)**3
Let v = -16 - -21. Suppose 2*i + x = -i + v, -4*i = -x - 16. Factor 34*y**3 - 14*y**i - 19*y**3 + y - 2*y**2.
y*(y - 1)**2
Let r(i) = -i**4 - i**3 + i**2 - i. Let f(u) = 4*u**4 + 8*u**3 - 2*u**2 - 6*u. Let a(m) = -f(m) - 2*r(m). Factor a(q).
-2*q*(q - 1)*(q + 2)**2
Find d, given that -2*d - 2/5*d**2 - 12/5 = 0.
-3, -2
Suppose 3*d - 39 + 28 = -m, -4*m + 4 = 4*d. Find r such that 7*r**2 + 53/4*r**3 - 21/4*r**d + 2*r**4 + 0 + r = 0.
-1, -1/3, -2/7, 0, 2
Let l(x) be the third derivative of x**5/20 - x**4/48 - 17*x**2 + 2. Determine h, given that l(h) = 0.
0, 1/6
Let n(j) be the third derivative of -1/1020*j**6 + 0*j**3 + 0 - 1/510*j**5 + 1/102*j**4 + 36*j**2 + 0*j. Factor n(g).
-2*g*(g - 1)*(g + 2)/17
Let k = 65/99 - 7/33. Factor k*p + 2/3 - 2/9*p**2.
-2*(p - 3)*(p + 1)/9
Suppose -3 + 2*y - 1/3*y**2 = 0. What is y?
3
Find o, given that 2/7*o**3 + 6/7 - 6/7*o**2 - 2/7*o = 0.
-1, 1, 3
Suppose 2*x + 2*x = 8. Determine k so that -2*k**2 - k**2 - 2*k**2 + 0*k**x = 0.
0
Let v(b) = b**2 + 7*b + 17. Let g be v(-6). Suppose -2 = -3*k + 7, c - g = -3*k. Factor 0*f**4 + 0*f**c + 0*f**3 + 2/5*f**5 + 0*f + 0.
2*f**5/5
Factor -8/3 + 8/3*z - 2/3*z**2.
-2*(z - 2)**2/3
Suppose -g + 3*g - 2 = 0, -4*d - g = -81. Suppose 0 = -0*i - 3*i, 5*s = 3*i + d. What is p in p**2 - 4*p**2 - 3*p**2 + 4*p**2 - 4*p**3 - 2*p**s = 0?
-1, 0
Let n = -13304/275 - -1214/25. Factor -8/11*h**2 + 4/11*h**4 + 0 + n*h**5 - 6/11*h**3 + 8/11*h.
2*h*(h - 1)**2*(h + 2)**2/11
Let g be (-20)/4 - (-2 + -2). Let r be ((-34)/17)/(-3 + g). Factor a**2 + 7/4*a - r.
(a + 2)*(4*a - 1)/4
Let x = -208 - -176. Let m be (8/(-144))/(4/x). Factor -m*k**2 - 2/9*k - 2/9*k**3 + 0.
-2*k*(k + 1)**2/9
Suppose -u = j + 5, 2*u - 2 + 0 = 2*j. Let o = 28 + j. Factor -10 - 28*c - 13*c**2 - 7*c - o*c**3 - 32*c**2 - 5*c**4.
-5*(c + 1)**3*(c + 2)
Let h(s) = s + 4. Let g(l) = -5*l - 16. Let x(q) = 2*g(q) + 9*h(q). Let m be x(4). Let -2/3*w**2 + 2/3 + m*w = 0. What is w?
-1, 1
Let j(l) be the first derivative of 16*l - 4/3*l**3 + 0*l**2 - 8. Factor j(t).
-4*(t - 2)*(t + 2)
Suppose -59*f + 4*f**2 - 272*f**2 - 59*f**3 - 9*f**3 - 4 + 16 - 129*f = 0. Calculate f.
-3, -1, 1/17
Let h be 87/(-15) + 6 - 42/(-70). Factor -r + 1/5*r**5 + 4/5*r**4 + h*r**3 - 2/5 - 2/5*r**2.
(r - 1)*(r + 1)**3*(r + 2)/5
Let a = 23 - 21. Suppose -4 = 4*l, 0*y - 12 = -5*y + 2*l. Factor -6 + 4*w**a + 2 - y*w**2 + 2.
2*(w - 1)*(w + 1)
Let r(g) = 4*g**3 - 119*g**2 - 247*g - 124. Let o(p) = 4*p**3 - 118*p**2 - 246*p - 124. Let z(y) = -3*o(y) + 2*r(y). Factor z(b).
-4*(b - 31)*(b + 1)**2
Let r = -2827/7 - -405. What is h in r - 1/7*h**3 - 12/7*h + 6/7*h**2 = 0?
2
Suppose -60 - 4 = -16*i. Let l(t) be the second derivative of -1/10*t**6 + 2*t + 0 + 0*t**2 - 2*t**i - 3/4*t**5 - 2*t**3. Factor l(h).
-3*h*(h + 1)*(h + 2)**2
Let j(d) be the second derivative of d**7/63 - d**6/9 + 4*d**5/15 - 2*d**4/9 - 77*d. Factor j(g).
2*g**2*(g - 2)**2*(g - 1)/3
Let g(l) = -2*l**4 - 24*l**3 + 68*l**2 - 51*l. Let h(v) = -18*v**4 - 214*v**3 + 612*v**2 - 458*v. Let n(w) = -52*g(w) + 6*h(w). Factor n(p).
-4*p*(p - 2)*(p - 1)*(p + 12)
Let g(y) = y**2 - 4*y + 6. Let o be g(3). Suppose -o*f = -3*m + 3, 3*m - 4*f - 1 = -0*f. Let 5*k**3 - 5*k**3 - 2*k**m - 4*k**4 + 2*k**2 = 0. Calculate k.
-1, 0, 1/2
Let b(h) be the second derivative of h**8/420 + 2*h**7/105 + h**6/18 + h**5/15 + 3*h**3/2 - 3*h. Let y(u) be the second derivative of b(u). Factor y(c).
4*c*(c + 1)**2*(c + 2)
Let o(w) = 15*w**2 + 32*w + 17. Let k(d) = 30*d**2 + 66*d + 36. Let h(v) = 5*k(v) - 9*o(v). Suppose h(f) = 0. Calculate f.
-9/5, -1
Let o(k) be the first derivative of k**4/32 + k**3/6 + k**2/4 - 5. Factor o(i).
i*(i + 2)**2/8
Suppose -3*f + 2*f + 24 = 0. Suppose -4*y = -120 + f. Factor -26 + y - a**3 + 2*a + a.
-(a - 1)**2*(a + 2)
Let j(t) = t**2 - 9*t + 13. Let z be j(11). Let n = z - 15. Factor n + 2*r**2 - r - 20 + 3*r.
2*r*(r + 1)
Let c(u) be the third derivative of u**6/24 + 7*u**5/12 + 35*u**4/24 - 25*u**3/2 - 290*u**2. Suppose c(y) = 0. Calculate y.
-5, -3, 1
Let b(n) = n**3 + 4*n**2 + 2*n - 5. Let y be b(1). Let w(a) be the first derivative of 4/33*a**3 + 0*a + 1/22*a**4 + 0*a**y + 7. Let w(r) = 0. Calculate r.
-2, 0
Suppose -140*r + 168*r - 84 = 0. Let t(c) be the first derivative of -1/12*c**4 - 1/3*c**r - 1/3*c + 8 - 1/2*c**2. Factor t(k).
-(k + 1)**3/3
Let l(r) be the second derivative of -r**4/6 + 6*r**3 - 81*r**2 + 8*r. Factor l(g).
-2*(g - 9)**2
Suppose m - 32 = 42*s - 47*s, m = 5*s - 28. Find z such that 4/5*z**m + 0 + 4/5*z**4 - 1/5*z**5 - 1/5*z - 6/5*z**3 = 0.
0, 1
Let n(r) be the second derivative of r**4/4 + 9*r**3/2 + 30*r**2 + 3*r + 18. Let n(l) = 0. What is l?
-5, -4
Let