 Factor 3*u**2 + 5 - u**o - 5 - 4*u.
2*u*(u - 2)
Suppose 4 = -5*a + 24. Let o(c) be the third derivative of -3*c**2 + 0 + 1/84*c**a + 0*c - 2/105*c**5 + 2/21*c**3 - 1/140*c**6. Factor o(d).
-2*(d + 1)**2*(3*d - 2)/7
Suppose -3*s + 17 = -2*t, -s - 3*s - 2*t = -4. Let -2/9*y**2 + 2*y**s - 2/9*y + 8/9*y**5 + 0 - 22/9*y**4 = 0. Calculate y.
-1/4, 0, 1
Let a(y) be the second derivative of -y**4/42 + 5*y**3/21 - 4*y**2/7 + 9*y. Factor a(f).
-2*(f - 4)*(f - 1)/7
Suppose -48*m + 54*m - 12 = 0. Let d(t) be the first derivative of -1 + 0*t - t**3 + 3/4*t**4 - 3*t**m. Determine s, given that d(s) = 0.
-1, 0, 2
Suppose -g + a + a - 4 = 0, 0 = 3*g - 3*a + 6. Suppose 4*o = 5*o - 5*x + 5, 0 = x - 1. Factor o - b**3 + b**4 + 1/3*b**2 + g*b - 1/3*b**5.
-b**2*(b - 1)**3/3
Factor 3/2*k + 1 + 1/2*k**2.
(k + 1)*(k + 2)/2
Let k(a) be the second derivative of -a**4/30 - 4*a**3/15 - 3*a**2/5 + 29*a. Solve k(c) = 0 for c.
-3, -1
Suppose -9 = 3*u - 33. Let h be (-22)/(-4) - 4/u. Factor -3*w + w**2 - 3*w + h*w.
w*(w - 1)
Let a be 3*(2 + -3) - -2. Let p be 1*a/2*-4. Factor 0*w + 0 + 0*w**4 + 1/3*w**5 + 0*w**p - 1/3*w**3.
w**3*(w - 1)*(w + 1)/3
Let v = 22 - 28. Let b(r) = 4*r**4 - 21*r**3 - 25*r**2. Let d(m) = m**4 - 5*m**3 - 6*m**2. Let c(k) = v*b(k) + 26*d(k). Factor c(u).
2*u**2*(u - 3)*(u + 1)
Suppose 4/5*x**3 + 0*x + 0 + 1/5*x**4 + 4/5*x**2 = 0. What is x?
-2, 0
Let g(k) be the second derivative of -3/20*k**5 + 0 + 0*k**4 + 1/10*k**6 + 0*k**3 + 0*k**2 - k. Factor g(p).
3*p**3*(p - 1)
Suppose -6*q - 5*j - 37 = -2*q, -2*j = 2*q + 18. Let g be q/(-28) + (-2)/(-42). Factor -1/3 - g*a**2 + 2/3*a.
-(a - 1)**2/3
Factor 56*u**3 + 47 - 9 - 100*u**2 + 10 - 8*u - 8*u + 12*u**4.
4*(u - 1)**2*(u + 6)*(3*u + 2)
Let m(g) be the first derivative of 0*g + 3 - 2/3*g**3 - g**2. Factor m(l).
-2*l*(l + 1)
Let k(h) = -h**5 - h**4 - h**3 + h**2 - h + 1. Let g(m) = -2*m**5 + 2*m**4 - 4*m**3 + 2*m**2 - m + 1. Let q(z) = g(z) - k(z). Factor q(l).
-l**2*(l - 1)**3
Let h(y) = -28*y**3 - 28*y**2 - 20*y + 4. Let a(t) = t**3 + t**2 + t. Let w(x) = -24*a(x) - h(x). Solve w(j) = 0.
-1, 1
Let u = 127/42 - 46/21. Factor -1/3*r + 0 - u*r**2.
-r*(5*r + 2)/6
Let c(t) = -t**2 - 1. Suppose -11 = f - 5*u, 0*f + 4*f + 44 = -u. Let v(r) = 5*r**2 - r + 5. Let j(p) = f*c(p) - 2*v(p). Solve j(l) = 0 for l.
-1
Let r(y) be the second derivative of 1/3*y**2 + 4/9*y**3 + 0 + 1/3*y**4 + 1/45*y**6 + 5*y + 2/15*y**5. Factor r(q).
2*(q + 1)**4/3
Factor -1/10*f**3 + 1/5*f**2 + 0 - 1/10*f.
-f*(f - 1)**2/10
Let x = 31 - 11. Suppose -15*c + x*c = 15. Factor -1/3*w**2 - c + 2*w.
-(w - 3)**2/3
Suppose -v + 1 + 1 = 0. Determine b, given that 7*b**v - 5*b**2 - 6 + 4 = 0.
-1, 1
Let i(c) be the first derivative of 34*c**3/3 - 2*c**2 + 30. Determine z, given that i(z) = 0.
0, 2/17
Let y(q) = q**3 - 5*q**2 + 7*q - 10. Let i be y(4). Let -4/3 - 2*s - 2/3*s**i = 0. Calculate s.
-2, -1
Let j = 729 + -726. Factor -1/7*i**2 + 2/7*i**j - 2/7 - 5/7*i.
(i - 2)*(i + 1)*(2*i + 1)/7
Suppose -21 - 27 = -4*w. Let z be (-1 - 0) + w/4. Factor 22/5*a - 32/5*a**z - 4/5 + 14/5*a**3.
2*(a - 1)**2*(7*a - 2)/5
Suppose j - 5*j + 8 = 0. Let b be j - (0 - 36/(-21)). Factor -2/7*w**4 + 2/7*w - b*w**3 + 2/7*w**2 + 0.
-2*w*(w - 1)*(w + 1)**2/7
Factor 0 + 18 - 12*u + 0*u**2 + 2*u**2.
2*(u - 3)**2
Find m such that 206*m + 5*m**4 - 206*m - 5*m**2 = 0.
-1, 0, 1
Suppose 1/4*x**2 + 1/4*x**3 - 1/4*x - 1/4 = 0. Calculate x.
-1, 1
Let v(l) = -24*l**2 + 4*l**4 + 2 - 2*l + 4*l**2 + 9*l**2 - l**3. Let c(h) = h**3 - h**2 + 1. Let m(i) = 4*c(i) - 2*v(i). Solve m(p) = 0.
-1, -1/4, 0, 2
Let f(o) be the third derivative of -o**8/13440 - o**4/8 - 2*o**2. Let d(c) be the second derivative of f(c). Suppose d(r) = 0. What is r?
0
Let u(y) be the first derivative of y**5/60 - y**4/24 + 3*y**2/2 + 1. Let o(p) be the second derivative of u(p). Factor o(j).
j*(j - 1)
Let b(s) be the second derivative of -s**5/3 + s**4/2 + 4*s**3/3 - 3*s**2 + 3*s. Let h(k) be the first derivative of b(k). Factor h(f).
-4*(f - 1)*(5*f + 2)
Factor 1/2*c**2 + 3*c**3 + 9/2*c**4 + 0*c + 2*c**5 + 0.
c**2*(c + 1)**2*(4*c + 1)/2
Let g(h) = -22*h**2 - 176*h - 352. Let r(n) = 2*n**2 + 16*n + 32. Suppose -3*f = d - 5 + 21, -3*d - 12 = 3*f. Let t(p) = f*g(p) - 68*r(p). Factor t(x).
-4*(x + 4)**2
Let k(c) = -45*c**2 - 80*c + 20. Let x(o) = 5*o**2 + 12*o + 0 - 4 + 4*o**2 + 4*o. Let z(t) = -6*k(t) - 33*x(t). Factor z(h).
-3*(h + 2)*(9*h - 2)
Let h be 4*1*10/(-8). Let s(v) = -6*v**3 - 3*v**2 + 3*v + 3. Let n(y) = y**4 - 11*y**3 - 5*y**2 + 5*y + 5. Let z(a) = h*s(a) + 3*n(a). Factor z(k).
3*k**3*(k - 1)
Let u(l) be the second derivative of -l**5/110 + 4*l**4/33 - 38*l. Factor u(y).
-2*y**2*(y - 8)/11
Let w(b) be the second derivative of -b**7/6 - b**6/15 + 7*b**5/20 + b**4/6 - 2*b. Find v, given that w(v) = 0.
-1, -2/7, 0, 1
Let s(z) be the third derivative of -1/630*z**7 - 3*z**2 + 1/120*z**6 + 0*z**3 - 1/60*z**5 + 1/72*z**4 + 0 + 0*z. Let s(k) = 0. What is k?
0, 1
Suppose 0 = h + h. Suppose y - 6 + 3 = h. Factor -3 + y + 4*j - j**2 - 4.
-(j - 2)**2
Let t(m) = -2*m**5 - 11*m**4 - 4*m**3 - 5*m**2 + 5. Let x(d) = 3*d**5 + 17*d**4 + 6*d**3 + 8*d**2 - 8. Let j(c) = -8*t(c) - 5*x(c). Factor j(y).
y**3*(y + 1)*(y + 2)
Let j(d) be the second derivative of d**6/30 + d**5/10 + d**4/12 - 6*d. Solve j(n) = 0.
-1, 0
Let q be (30/25)/((-1)/(-5)). Factor y**3 - 3*y**3 + 3*y**3 + 2*y**3 + 3*y + q*y**2.
3*y*(y + 1)**2
What is k in -k**2 + 4*k**2 + 49 - 2*k**2 - 8*k + 22*k = 0?
-7
Let z(j) be the first derivative of -j**8/560 - j**7/840 + j**6/72 + j**5/120 - j**4/12 - j**3 - 1. Let l(i) be the third derivative of z(i). Factor l(s).
-(s - 1)*(s + 1)**2*(3*s - 2)
Let a(b) be the second derivative of 0*b**2 + 1/4*b**4 - 8*b + 1/10*b**6 + 0*b**3 - 3/10*b**5 + 0. Factor a(o).
3*o**2*(o - 1)**2
Let j be ((-8)/(-4) + -7 - -5)/5. Factor -9/4*h + j + 3/4*h**3 - 3/2*h**2.
3*h*(h - 3)*(h + 1)/4
Factor 5/8 + 3/4*c + 1/8*c**2.
(c + 1)*(c + 5)/8
Let g(s) be the first derivative of -3/10*s**2 - 6/5*s**4 + 6/5*s**3 + 0*s - 6. Factor g(v).
-3*v*(2*v - 1)*(4*v - 1)/5
Let b(x) be the third derivative of -x**6/1800 - x**5/100 - 3*x**4/40 + x**3 - 6*x**2. Let d(y) be the first derivative of b(y). Let d(m) = 0. What is m?
-3
Suppose -4*s = -7*s + 69. Let b = -24 - -31. Factor -s + b*l**5 + 2*l**4 + 23.
l**4*(7*l + 2)
Let g(w) = 3*w - 1. Let b be g(2). Suppose b*s = s - 3*k + 13, -k = 2*s - 7. Suppose -104/7*m**2 - 18*m**s + 204/7*m**3 + 0 + 16/7*m = 0. Calculate m.
0, 2/7, 2/3
Let n(w) = 2*w**2 - 11*w + 5. Let x(y) = -y + 1. Let v(i) = -n(i) + 5*x(i). Find s, given that v(s) = 0.
0, 3
Let i be ((-12)/24)/((-28)/48). Find k, given that 3/7*k**2 - i + 3/7*k = 0.
-2, 1
Solve -1/5*d**4 - 1/5*d + 0 + 1/5*d**3 + 1/5*d**2 = 0 for d.
-1, 0, 1
Let c(j) be the second derivative of -j**5/40 + j**4/6 - j**3/4 - j. Determine y, given that c(y) = 0.
0, 1, 3
Let q(c) = -24 + 7 - 4*c - 17*c**2 + 3*c**3 + c. Let x = 25 + -31. Let a(o) = -o**3 + 6*o**2 + o + 6. Let u(d) = x*q(d) - 17*a(d). Factor u(g).
-g*(g - 1)*(g + 1)
Let n be 2/(-6) - ((-516)/63)/4. Factor -2/7 - n*j - 18/7*j**2.
-2*(3*j + 1)**2/7
Let g(a) = -3*a**4 - 27*a**3 - 11*a**2 + 27*a - 8. Let z(b) = -2*b**4 - 14*b**3 - 6*b**2 + 14*b - 4. Let j(p) = -6*g(p) + 11*z(p). Factor j(x).
-4*(x - 1)**3*(x + 1)
Let b(k) be the third derivative of k**6/120 + 11*k**5/20 + 12*k**4 + 128*k**3/3 - k**2 + 27*k. Factor b(o).
(o + 1)*(o + 16)**2
Let c(f) = 6*f + f**2 - 9 - f - 1. Let w be c(-7). Factor -3 + 5*i + 1 - 2*i**4 + 4*i**4 - w*i**3 - i.
2*(i - 1)**3*(i + 1)
Suppose 0 = -w - 2*w + 12. Factor d**5 + 42*d**2 - 3*d**5 + 2*d**w - 42*d**2.
-2*d**4*(d - 1)
Factor 5*y**3 + 10 + 0 + 0*y**3 - 5*y - 10*y**2.
5*(y - 2)*(y - 1)*(y + 1)
Let k be ((-9)/(-30))/((-3)/4)*-1. Solve -k*g**2 - 8/5 - 8/5*g = 0.
-2
Let t(w) be the second derivative of w**4/3 + 4*w**3/3 + 2*w**2 + 25*w. Factor t(m).
4*(m + 1)**2
Let w be 3 - (0 - (1 + 0)). Factor -2*g**2 + 0*g**2 + 0 + 1 + 5*g**4 - 4*g**w.
(g - 1)**2*(g + 1)**2
Let k(s) be the third derivative of 0 + 0*s - 5/96*s**4 + 1/60*s**5 + 3*s**2 + 1/24*s**3. Let k(f) = 0. Calculate f.
1/4, 1
Let j(a) be the first derivative of 5*a**6/6 - 4*a**5 + 25*a**4/4 - 10*a**3/3 + 8. Find d such that j(d) = 0.
0, 1, 2
Suppose -5*k - 10 = 0, 4*o - 3*k - 4 = -7*k. Let n(m) be the second derivative of 1/27*