is q?
-2, 6
Suppose 0*w = 4*w - 8. Let r(p) be the first derivative of w + 1/20*p**4 - 4/15*p**3 - 2/5*p + 1/2*p**2. Factor r(h).
(h - 2)*(h - 1)**2/5
Factor -3/2*d**2 + 0 + d + 1/2*d**3.
d*(d - 2)*(d - 1)/2
Let u(w) be the first derivative of w**4/3 + 16*w**3/9 - 2*w**2/3 - 16*w/3 - 53. Factor u(z).
4*(z - 1)*(z + 1)*(z + 4)/3
Let o be -2 + 12*3/15. Factor -o*m**4 - 4/5*m + 4/5*m**3 + 2/5 + 0*m**2.
-2*(m - 1)**3*(m + 1)/5
Let h(d) = -d**3 + 19*d**2 + 17*d + 62. Let s be h(20). Determine c, given that 0 - s*c + 2/3*c**2 = 0.
0, 3
Let f(l) = 47*l**3 - 77*l**2 + 32*l - 4. Let a(t) = t**3. Let d(b) = 2*a(b) + f(b). Find z such that d(z) = 0.
2/7, 1
Suppose d - 2*d = -4. Let h be 6/d*11/3. What is u in 10*u - 35/2*u**3 + 2 + h*u**2 = 0?
-2/5, -2/7, 1
Let n = -138 + 553/4. Determine i, given that 0 - n*i + 1/4*i**2 = 0.
0, 1
Let o be (-25 - -1 - 0/3)*-1. Suppose -18*i**3 - 36*i**2 - 16/3 - o*i = 0. Calculate i.
-2/3
Factor -6/7*g**2 + 0 + 0*g - 2/7*g**3.
-2*g**2*(g + 3)/7
Let o(p) be the first derivative of -4*p - 5 + 2/3*p**3 - p**2. Factor o(t).
2*(t - 2)*(t + 1)
Let n(x) = -2*x**4 + 3*x**3 + x**2 - x - 1. Let d(q) = -q**5 + q**4 - q**3 - q**2 + q + 1. Let t(h) = d(h) + n(h). Factor t(g).
-g**3*(g - 1)*(g + 2)
Let h be -1*(0/(-2) + 1). Let x be h/(-2)*4 + 0. Determine m, given that 2*m**2 - 3*m**4 - 3*m**2 + x*m**4 + 2*m**2 = 0.
-1, 0, 1
Let o(v) = -14*v**2 + 12*v + 56. Let h(j) = -9*j**2 + 8*j + 37. Let l(u) = -8*h(u) + 5*o(u). Suppose l(r) = 0. Calculate r.
-2, 4
Solve 2*l**4 + 32/7*l + 50/7*l**2 + 38/7*l**3 + 2/7*l**5 + 8/7 = 0.
-2, -1
Factor 0 + 0*m**2 + 1/3*m**4 + 0*m - 1/3*m**3.
m**3*(m - 1)/3
Find s, given that -25*s - 19*s - 3*s**2 + 41*s = 0.
-1, 0
Let q(r) be the first derivative of 25*r**6/12 - r**5/2 - 41*r**4/8 + r**3/6 + 4*r**2 + 2*r + 10. Suppose q(p) = 0. What is p?
-1, -2/5, 1
Let w = 6 - 3. Let f - f**w + 1 + 2*f**2 + 4*f**2 - 2*f**2 - 5*f**2 = 0. Calculate f.
-1, 1
Let m(l) = l**4 + l**3 - l**2 - l. Let w(a) = 14*a**4 - 8*a**3 - 2*a**2 - 4*a. Let p(v) = -6*m(v) + w(v). Suppose p(n) = 0. What is n?
-1/4, 0, 1
Let t be (1/(-8))/(2/(-4)). Factor 1/2*a + t*a**2 + 0.
a*(a + 2)/4
Let f(v) be the third derivative of -v**6/780 + 2*v**5/195 + v**4/52 - 6*v**3/13 + 23*v**2. Determine z, given that f(z) = 0.
-2, 3
Suppose 30*w**3 + 5*w + 11*w**4 - 32*w**5 + 16*w**2 - 12*w**4 - 15*w**4 - 3*w = 0. What is w?
-1, -1/4, 0, 1
Let h(f) be the second derivative of f**7/840 - f**6/360 + 2*f**3/3 + 3*f. Let x(r) be the second derivative of h(r). Solve x(j) = 0.
0, 1
Let f(d) be the third derivative of 1/330*d**6 - 1/33*d**3 + 1/385*d**7 + 0 - 1/44*d**4 + 0*d + 3*d**2 + 1/1848*d**8 - 1/165*d**5. Factor f(g).
2*(g - 1)*(g + 1)**4/11
Let j(n) be the first derivative of n**7/840 + n**6/240 + n**5/240 - 2*n**2 + 1. Let p(t) be the second derivative of j(t). Let p(c) = 0. Calculate c.
-1, 0
Let s(k) be the second derivative of -k**6/1440 + k**5/160 - 5*k**3/3 - 7*k. Let c(b) be the second derivative of s(b). Factor c(z).
-z*(z - 3)/4
Let a(v) be the third derivative of 9/200*v**6 - 1/5*v**3 - 9/40*v**4 + v**2 + 0*v + 1/50*v**5 + 0. Factor a(g).
3*(g - 1)*(g + 1)*(9*g + 2)/5
Let u(n) be the third derivative of n**7/2100 - n**6/1200 - n**5/600 + n**4/240 - 8*n**2. Determine p so that u(p) = 0.
-1, 0, 1
Let k = -137 - -687/5. Factor -2/5*a**4 + 6/5*a**3 + 2*a**2 + 4/5*a - k*a**5 + 0.
-2*a*(a - 2)*(a + 1)**3/5
Suppose -2*o + 0*o + 4 = 0. Let 4*k**2 + 4*k**2 + 1 - k**2 - 3*k - k**3 - 4*k**o = 0. What is k?
1
Let s(i) be the third derivative of -2/15*i**5 + 0 + 1/12*i**4 + 1/10*i**6 - 4/105*i**7 - i**2 + 1/168*i**8 + 0*i**3 + 0*i. Solve s(u) = 0 for u.
0, 1
Let r be (2 - 1)/(3/15). Factor 2*m**r - 23*m**4 + 27*m**4 + 2*m - 4*m - 4*m**2.
2*m*(m - 1)*(m + 1)**3
Let l(o) be the second derivative of -1/45*o**6 + 0 + 0*o**4 + 1/18*o**3 - 1/20*o**5 - 2*o + 0*o**2. Factor l(j).
-j*(j + 1)**2*(2*j - 1)/3
Factor 8 - 287*u**2 - u**3 + u - 295*u**2 + 574*u**2.
-(u - 1)*(u + 1)*(u + 8)
Let w(m) be the second derivative of -4*m + 3/10*m**2 + 3/100*m**5 + 0 + 3/20*m**4 + 3/10*m**3. Factor w(d).
3*(d + 1)**3/5
Let m(c) be the first derivative of -4 + 1/9*c**3 - 1/6*c**2 - 2/3*c. Factor m(a).
(a - 2)*(a + 1)/3
Let a(r) be the first derivative of -2 - 1/16*r**4 - 1/2*r + 1/6*r**3 + 1/8*r**2. Suppose a(y) = 0. Calculate y.
-1, 1, 2
Let z(g) be the first derivative of -8/3*g**2 + 2/9*g**3 + 32/3*g - 8. Factor z(k).
2*(k - 4)**2/3
Let j(m) be the second derivative of m**4/36 + m**3/3 + 5*m**2/6 + 26*m. Solve j(l) = 0 for l.
-5, -1
Let v(k) be the first derivative of 3*k**5/25 + 3*k**4/10 - 3*k**2/5 - 3*k/5 - 1. Suppose v(l) = 0. Calculate l.
-1, 1
Let d(k) = -k**3 - 8*k**2 + 8*k - 6. Let y be d(-9). Let u be (y + 2)*6/10. Factor 0 + 2/3*r - 2/3*r**u + 0*r**2.
-2*r*(r - 1)*(r + 1)/3
Let m be 0/(-10)*(-1)/2. Factor 8/9*g**4 - 4/9*g**2 - 14/9*g**3 + m + 0*g.
2*g**2*(g - 2)*(4*g + 1)/9
Let w = 70 + -64. Let t(d) be the second derivative of 1/12*d**3 + 1/60*d**w - 1/40*d**5 + 0*d**2 + 3*d - 1/24*d**4 + 0. Factor t(b).
b*(b - 1)**2*(b + 1)/2
Let 0*s**3 + 0 - 4/3*s**4 - 2/3*s**5 + 4/3*s**2 + 2/3*s = 0. Calculate s.
-1, 0, 1
Suppose -3*c + 36 = -c + 4*a, -3*c + 34 = a. Let v be (2/40)/(c/40). Suppose 0 - v*f**4 - 2/5*f - 4/5*f**3 - f**2 = 0. Calculate f.
-2, -1, 0
Let q be 2 + 63/(-32)*1. Let m(b) be the third derivative of 0*b + 0 + 1/80*b**5 + q*b**4 + 1/480*b**6 + 1/24*b**3 - b**2. Factor m(s).
(s + 1)**3/4
Let n(w) be the second derivative of 1/2*w**4 + 1/2*w**3 + 0 - 3/2*w**2 - 3/10*w**5 - 1/10*w**6 - 4*w + 1/14*w**7. Factor n(l).
3*(l - 1)**3*(l + 1)**2
Let f(r) be the first derivative of -4*r**5/5 - r**4 + 4*r**3/3 + 2*r**2 + 7. Factor f(h).
-4*h*(h - 1)*(h + 1)**2
Let q(n) be the third derivative of -n**8/168 - 2*n**7/105 + n**5/15 + n**4/12 + n**2. Find o such that q(o) = 0.
-1, 0, 1
Let g(x) be the second derivative of x**5/40 - x**4/24 - x**3/6 - 9*x. Suppose g(f) = 0. Calculate f.
-1, 0, 2
Find h such that 4*h**5 - 1733*h**3 - 7*h**4 + 1729*h**3 + 4*h**2 + 3*h**4 = 0.
-1, 0, 1
Let d be 225/(-21) - 2/7. Let y = d + 15. Factor 0*s + y*s + 2*s**4 - s**2 - 5*s**2.
2*s*(s - 1)**2*(s + 2)
Let q(r) = -r**3 - r**2 - 2*r + 4. Let p be q(1). Determine x so that p - 1/2*x**2 + x - 1/2*x**3 = 0.
-2, 0, 1
Let q(t) = -t**2 + t + 1. Let r(j) = -4*j**2 - 2*j + 7. Let d(a) = -q(a) + r(a). Determine w so that d(w) = 0.
-2, 1
Let g(u) be the second derivative of u**4/12 - 2*u**3/3 + 2*u**2 - 12*u. Find r, given that g(r) = 0.
2
Let d(m) be the third derivative of -m**6/960 - m**5/480 - 25*m**2. Solve d(w) = 0 for w.
-1, 0
Let h(a) be the second derivative of -a**4/6 + a**3/3 + 9*a**2/2 + 4*a. Let j(p) = -2*p**2 + 2*p + 8. Let z(s) = 4*h(s) - 5*j(s). Factor z(l).
2*(l - 2)*(l + 1)
Let w(a) be the first derivative of -a**6/120 + a**5/20 - a**4/8 - 2*a**3/3 + 5. Let s(n) be the third derivative of w(n). Factor s(i).
-3*(i - 1)**2
Let r(b) be the first derivative of b**5 - 5*b**4/2 - 5*b**3 + 10*b**2 + 20*b - 13. Factor r(w).
5*(w - 2)**2*(w + 1)**2
Let a be ((-4)/(-8))/(-4 - (-53)/12). Suppose -a - 4/5*p + 2/5*p**2 = 0. What is p?
-1, 3
Suppose 4*r + 6 = 6*r. Let u(j) be the second derivative of 0*j**2 - r*j + 0 - 1/3*j**3 + 1/6*j**4. Factor u(d).
2*d*(d - 1)
Let k be (-3 + (-44)/(-12))*-3. Let d = k - -7. Find x such that 2/5*x**3 + 2/5*x**4 - 2/5*x**2 + 0 - 2/5*x**d + 0*x = 0.
-1, 0, 1
Let p(x) be the third derivative of 1/24*x**4 + 0*x**3 + 1/15*x**5 + 3*x**2 + 0*x + 0. Solve p(n) = 0.
-1/4, 0
Let f(w) be the second derivative of -w + 0 + 1/33*w**3 + 1/66*w**4 + 0*w**2. Factor f(d).
2*d*(d + 1)/11
Let p(o) be the third derivative of o**8/2016 - o**7/315 + o**6/180 + o**5/180 - 5*o**4/144 + o**3/18 - 3*o**2. Let p(u) = 0. Calculate u.
-1, 1, 2
Let p be (-2)/1*12/(-3). Let c be (-2*2/(-4))/((-2)/(-10)). Suppose -12*j**3 - 4*j - 4*j**c - j**4 + p*j**2 + 2*j + 2*j**5 + 9*j**4 = 0. What is j?
0, 1
Factor -2*t**2 - 3*t + 3*t.
-2*t**2
Let k(c) be the third derivative of -c**7/525 + c**5/75 - c**3/15 - 5*c**2. Factor k(p).
-2*(p - 1)**2*(p + 1)**2/5
Factor 0*p - 2/3*p**4 + 2/3*p**2 + 0*p**3 + 0.
-2*p**2*(p - 1)*(p + 1)/3
Suppose -3*g + 0*g = -9. Factor 2*u - 2*u**g + 2*u**2 - 2*u**2 - 2*u**2 + 2.
-2*(u - 1)*(u + 1)**2
Suppose j = 3*j - 4. Suppose -2/9 + 4/9*w - 2/9*w**j = 0. What is w?
1
Let o be