 Factor w(d).
(d - 2)*(d - 1)**2*(d + 1)/2
Let n(c) be the third derivative of -1/120*c**6 - 4*c**2 - 1/420*c**7 + 0*c**3 + 0*c**4 + 0 - 1/120*c**5 + 0*c. Solve n(w) = 0 for w.
-1, 0
Let t be -2*(3/6 - (-12)/(-8)). Let q be (-2)/(-4) - (-1)/(-4). Factor 3/4*a**4 + 0*a + 3/4*a**3 + 0 + q*a**t + 1/4*a**5.
a**2*(a + 1)**3/4
Suppose -7 - 27 = -2*t + 3*o, 2*t - 46 = -3*o. Let j be (12/10)/(6/t). Factor v**2 - 2*v**j + v**4 + 0*v**4.
-v**2*(v - 1)*(v + 1)
Let g(z) be the third derivative of 1/6*z**3 + 0 + 0*z - 1/60*z**5 + 1/48*z**4 - 1/240*z**6 + 3*z**2. Factor g(n).
-(n - 1)*(n + 1)*(n + 2)/2
Let r = 11 + 4. Let f = -44/3 + r. Let 2*x**2 - 4/3*x + f + 1/3*x**4 - 4/3*x**3 = 0. Calculate x.
1
Find l, given that 3/4 + 3/4*l - 3/4*l**3 - 3/4*l**2 = 0.
-1, 1
Let h(a) be the first derivative of -a**4/4 - 2*a**3/3 - a**2/2 + 6. Solve h(n) = 0 for n.
-1, 0
Suppose 2*g = 7*g + 10. Let a be (-20)/(-7) - (-4)/g. Factor 0*q**4 + 4/7*q**2 + 2/7*q**5 + 0*q + 0 - a*q**3.
2*q**2*(q - 1)**2*(q + 2)/7
Let t(j) = -j**2. Let g(u) = -21*u**3 - 3*u**2 + 6*u. Let k(o) = -g(o) + 18*t(o). Solve k(h) = 0 for h.
-2/7, 0, 1
Suppose -a = -4*j + 2*a + 27, a + 2 = -j. Let -j*i**3 - 2*i**2 - 1/3*i + 0 - 4/3*i**4 = 0. Calculate i.
-1, -1/4, 0
Suppose -430 = 3*s - 8*s. Let v be s/88 + 5/(-20). Factor 2/11*m**2 + v - 8/11*m.
2*(m - 2)**2/11
Let o(c) be the third derivative of 5*c**8/1176 - 2*c**7/735 - c**6/42 + 2*c**5/105 + 5*c**4/84 - 2*c**3/21 + 2*c**2. Determine q, given that o(q) = 0.
-1, 2/5, 1
Let k(m) be the third derivative of m**7/1260 + m**6/180 + m**5/60 - m**4/6 + 2*m**2. Let o(a) be the second derivative of k(a). Suppose o(t) = 0. What is t?
-1
Let h(a) be the first derivative of 1 - 1/30*a**4 + 0*a - 1/15*a**2 + 4/45*a**3. Factor h(r).
-2*r*(r - 1)**2/15
Suppose -240*y = -243*y + 12. Let -1/5*b**y + 0 + 3/5*b**3 + 1/5*b - 3/5*b**2 = 0. What is b?
0, 1
Let q(i) be the first derivative of i**7/84 + i**6/60 - i**5/40 - i**4/24 - 2*i - 6. Let b(f) be the first derivative of q(f). Find s such that b(s) = 0.
-1, 0, 1
Let t(n) be the third derivative of 0 - 1/60*n**5 + 0*n**3 + 0*n + 0*n**4 - 5*n**2. Find a such that t(a) = 0.
0
Let i(m) be the third derivative of m**7/70 - m**6/24 + m**5/30 - m**2. Let h(p) = -4*p**4 + 7*p**3 - 3*p**2. Let a(y) = 5*h(y) + 7*i(y). Factor a(z).
z**2*(z - 1)*(z + 1)
Suppose -o + 4*o = -3*o. Let p(y) be the third derivative of -1/60*y**4 + 0 + 0*y**3 - 1/150*y**5 + y**2 + o*y. Determine a, given that p(a) = 0.
-1, 0
Suppose 0*d - 2*d = -6. Let g(l) be the first derivative of l**3 + d*l**2 - 4 + 17*l - 17*l. Let g(c) = 0. Calculate c.
-2, 0
Factor -64*g**2 + 11*g**4 - 153*g**3 + 61*g**3 - 5*g**4.
2*g**2*(g - 16)*(3*g + 2)
Factor -1 + 6*q + 10*q**2 - 14*q**2 - 3 + 2*q.
-4*(q - 1)**2
Let r(y) be the first derivative of y**5/15 + y**4/3 + 2*y**3/3 + 2*y**2/3 + y/3 + 21. Find p, given that r(p) = 0.
-1
Let d(n) be the second derivative of n**4/4 + 2*n**3 + 9*n**2/2 - 6*n. Find w, given that d(w) = 0.
-3, -1
Suppose 5*l = -2*m + 7, -3*l - 3*m = 2*m - 8. Let p(b) be the first derivative of 0*b - 1/4*b**4 - l + 0*b**3 + 1/2*b**2. Factor p(s).
-s*(s - 1)*(s + 1)
Let i = -2 + 2. Let a be i + -2 + (5 - 1). Find q such that q**5 - 7*q**4 - 6*q**a + 4*q - 6*q**3 + 21*q**4 - 7*q**5 = 0.
-2/3, 0, 1
Suppose 0 = -3*x - 5 + 14. Suppose 0*h + 2*k - 6 = -4*h, x*h - 18 = 3*k. Determine s so that -1/2 + 0*s**2 - s + 1/2*s**4 + s**h = 0.
-1, 1
Let r(d) = -2*d**4 + 8*d**3 - 8*d**2 - 16*d - 4. Let f(z) = -5*z**4 + 17*z**3 - 16*z**2 - 32*z - 9. Let s(j) = 4*f(j) - 9*r(j). Solve s(u) = 0.
-2, 0, 2
Let o(a) be the first derivative of -a**4 - 4*a**3/3 + 8*a**2 + 16*a - 5. Find p, given that o(p) = 0.
-2, -1, 2
Suppose -2 + 0*u + 1/2*u**2 = 0. Calculate u.
-2, 2
Let x(t) = t**4 - t**3 + 1. Let l(h) = h**5 - 3*h**4 + 9*h**3 + h**2 - 6. Let a(v) = l(v) + 6*x(v). Solve a(j) = 0 for j.
-1, 0
Suppose -187*r + 188*r - 2 = 0. Find k, given that 0*k - 1/2*k**r + 1/4*k**3 + 0 = 0.
0, 2
Factor 3*v**3 + 11/4*v**2 + 9/8*v**4 + v + 1/8.
(v + 1)**2*(3*v + 1)**2/8
Let u(t) = -5*t**4 - 12*t**3 + 3*t**2 + 10*t - 2. Let j(i) = -35*i**4 - 85*i**3 + 20*i**2 + 70*i - 15. Let v(b) = -2*j(b) + 15*u(b). Factor v(c).
-5*c*(c - 1)*(c + 1)*(c + 2)
Let c be 4*1/4*3. Suppose z - c*u = 8, 3*z - 5*u - 14 - 2 = 0. Solve 0*i**3 - i**3 + i - z*i**2 + 1 + i**2 = 0.
-1, 1
Let i(g) be the second derivative of -1/30*g**4 - 6*g + 0*g**3 - 1/50*g**5 + 0*g**2 + 1/105*g**7 + 1/75*g**6 + 0. Suppose i(w) = 0. Calculate w.
-1, 0, 1
Suppose 5*q - 2*r - 14 = q, 2*q - 3*r - 13 = 0. Let v(l) be the first derivative of 2*l + 2 - q*l**2 + 2/3*l**3. Determine j, given that v(j) = 0.
1
Let w = 8 + -4. Find g such that -14*g + 3*g**3 + 5*g**3 + w + 5*g**2 + 6*g**2 - 3*g**2 = 0.
-2, 1/2
Suppose -3*y = -5*j - 0*j + 6, -5*y + 12 = -j. Let i(x) be the first derivative of -2 - 1/3*x**2 + 0*x + 1/6*x**4 + 2/15*x**5 - 2/9*x**j. Factor i(d).
2*d*(d - 1)*(d + 1)**2/3
Let i be (-2)/3 - 11/(-3). Let v be (1 + 1)/(4/6). Factor -2*w**5 - 6*w**4 + 6*w - 3*w**2 + 4*w**2 + 1 - 4*w**i + 1 + v*w**2.
-2*(w - 1)*(w + 1)**4
Find g such that 9/7*g**3 + 3*g**2 - 3*g**4 + 6/7*g + 0 - 15/7*g**5 = 0.
-1, -2/5, 0, 1
Let z(s) be the second derivative of s**7/70 + s**6/50 - 3*s**5/100 - s**4/20 + 7*s. Let z(w) = 0. What is w?
-1, 0, 1
Let f(l) = -15*l**2 + 30*l. Let q(z) = 7*z**2 - 15*z. Let x(d) = 2*f(d) + 5*q(d). Factor x(v).
5*v*(v - 3)
Factor 0*c + 1/4 - 1/4*c**2.
-(c - 1)*(c + 1)/4
Find h, given that 264*h**4 - 264*h**4 - 2*h**3 + 2*h**5 = 0.
-1, 0, 1
Let d be 1 + -3 + 184/90. Let m(f) be the first derivative of -1 + 0*f**2 + 0*f - 1/27*f**6 + 0*f**3 + 0*f**4 + d*f**5. Factor m(h).
-2*h**4*(h - 1)/9
Factor 5/2*w**2 + 1 + 7/2*w.
(w + 1)*(5*w + 2)/2
Suppose -5*n - 2*o + 54 = 0, 2*n - o = -2*o + 21. Let s = 38 - 34. Determine x, given that -3*x**s - 15*x**2 - n*x**3 + 0*x**2 - 7*x + x = 0.
-2, -1, 0
Let u be 12/(2 - -1) + -2. Suppose 6*r = 3*r - 2*y, 3*y = u*r - 13. Suppose 0*l**2 - r + 2*l**2 + 1 - l**4 = 0. What is l?
-1, 1
Suppose 2*g + 4*x = 26, -g + 3*x = -5*g + 27. Factor 3*m**2 - 2*m**g + 4*m**3 + 0*m**3 - 3*m - 3*m**4 + m**3.
-3*m*(m - 1)**2*(m + 1)
Suppose -34*c + 33*c + 3 = 0. Factor 0*m**c + 0 + 0*m + 1/6*m**4 - 1/6*m**2.
m**2*(m - 1)*(m + 1)/6
Let v(i) be the first derivative of -2*i**5/5 - 3*i**4/2 - 2*i**3/3 + 3*i**2 + 4*i - 13. Factor v(d).
-2*(d - 1)*(d + 1)**2*(d + 2)
Let c(w) = 6*w**2 + 20*w - 16. Let x = 2 + -5. Let a(r) = 2*r**2 - 4*r - r**2 - 2*r**2 + 3. Let s(m) = x*c(m) - 16*a(m). Determine z, given that s(z) = 0.
0, 2
Suppose 7 = -5*s + 12. Let w be s/3 + 88/24. Solve -2*c**3 + 0*c**3 - c**5 - 2*c**3 + 3*c**3 + 2*c**w = 0 for c.
0, 1
Let p(n) be the first derivative of n**5/5 + n**4/2 - n**3 - 4*n**2 - 4*n - 11. Factor p(v).
(v - 2)*(v + 1)**2*(v + 2)
Let 1/2 - 25/4*s**2 + 1/4*s + 3*s**3 = 0. What is s?
-1/4, 1/3, 2
Let v(d) be the third derivative of d**6/50 + d**5/15 - 2*d**4/15 - 8*d**3/15 + 14*d**2. What is r in v(r) = 0?
-2, -2/3, 1
Let u = -1/5 - -7/10. Let v(z) be the first derivative of 0*z**2 - 2 - 1/6*z**3 + u*z. Factor v(o).
-(o - 1)*(o + 1)/2
Let u(j) = j**3 + 3*j**2 - 2*j + 2. Let p(s) = 3*s**3 + 10*s**2 - 7*s + 7. Let v(o) = -2*p(o) + 7*u(o). Suppose v(d) = 0. Calculate d.
-1, 0
Let d(j) be the second derivative of -2/9*j**3 - 1/15*j**5 - 2*j - 1/6*j**2 - 1/6*j**4 - 1/90*j**6 + 0. Factor d(i).
-(i + 1)**4/3
Let m(v) be the first derivative of 1/2*v**6 + 0*v**2 + 0*v**4 + 3/5*v**5 + 0*v - 5 + 0*v**3. Factor m(t).
3*t**4*(t + 1)
Let y(p) be the first derivative of 32/13*p**3 + 98/13*p**5 - 32/13*p - 266/13*p**4 + 80/13*p**2 + 5. Determine l so that y(l) = 0.
-2/5, 2/7, 2
Let w(h) be the first derivative of -4 - 20/3*h**3 + 5/2*h**4 - 8*h - 1/2*h**5 + 10*h**2 + 1/24*h**6. Find a such that w(a) = 0.
2
Factor -a**3 + 4*a - 2*a**2 + 0*a + 0*a - a**3.
-2*a*(a - 1)*(a + 2)
Solve -o**2 + 4*o**2 - 6*o - 3 - o**2 - 5*o**2 = 0 for o.
-1
Let f(m) be the third derivative of -m**8/84 + 4*m**7/105 + m**6/15 - 4*m**5/15 - m**4/6 + 4*m**3/3 - 33*m**2. Let f(q) = 0. What is q?
-1, 1, 2
Let d(s) be the third derivative of 2/21*s**3 + 1/147*s**7 + 1/84*s**4 + 0 + 0*s - 1/30*s**5 + 1/420*s**6 + 3*s**2 - 1/588*s**8. Find r such that d(r) = 0.
-1, -1/2, 1, 2
Let t be 0*(1/(-2) + 1). Solve -4/5*g**3 + t*g**4 + 0 + 0*g**2 + 2/5*g + 2/5