s).
-3*s**2*(s - 2)*(s + 1)
Let w = -13 - -16. Let -r**3 + 0*r**4 - 2*r**3 + 1 + r**3 - r**5 - 3*r**4 + w*r + 2*r**2 = 0. What is r?
-1, 1
Let v be ((-8)/12)/((-2)/3). Let q be (v - (-3)/(-6))*0. Factor 0*u**3 + 1/2*u**2 - 1/4 + q*u - 1/4*u**4.
-(u - 1)**2*(u + 1)**2/4
Let x be ((-4)/32)/(-9 - -3). Let a(j) be the second derivative of 2*j + 0*j**2 + 1/80*j**5 + x*j**4 + 0 + 0*j**3. Factor a(z).
z**2*(z + 1)/4
Let a(h) be the second derivative of -h**7/42 + h**5/20 + 8*h. Factor a(b).
-b**3*(b - 1)*(b + 1)
Let q be (1/(-33))/(18/(-216)). Find y, given that -18/11*y**3 + 18/11*y + q*y**2 - 4/11 = 0.
-1, 2/9, 1
Let q(x) be the first derivative of 8*x**5/35 - 3*x**4/7 - 4*x**3/21 + 6*x**2/7 - 4*x/7 - 3. Determine i, given that q(i) = 0.
-1, 1/2, 1
Let w(b) be the second derivative of 0*b**5 - 3*b + 0*b**2 + 0*b**4 + 0 + 0*b**3 - 1/195*b**6. Let w(c) = 0. What is c?
0
Let m = 74 - 72. Let o(q) be the second derivative of -1/30*q**5 - 1/36*q**4 + 0*q**m + 0*q**3 - 3*q + 0 - 1/90*q**6. Find k, given that o(k) = 0.
-1, 0
Let i(q) be the first derivative of q**6/16 - 3*q**5/40 - 3*q**4/16 + q**3/4 + 3*q**2/16 - 3*q/8 + 8. Suppose i(k) = 0. What is k?
-1, 1
Let x be ((-4)/184)/(10/332). Let k = -12/23 - x. Factor 0 + k*f**3 + 0*f - 1/5*f**2.
f**2*(f - 1)/5
Solve 8*v**3 - 10*v**3 + 4*v**3 = 0.
0
Factor -2/3*b**5 + 0*b**2 + 2/3*b**3 + 0*b**4 + 0*b + 0.
-2*b**3*(b - 1)*(b + 1)/3
Suppose 0 = -b - 3*i + 17, 4*i - 13 = -3*b + 13. Find s such that -2*s**2 - 28*s + 30*s + 0*s**b = 0.
0, 1
Let j(p) be the first derivative of p**5/5 + p**4/12 - 2*p**3/3 - p**2/2 - 4*p + 2. Let f(u) be the first derivative of j(u). Factor f(w).
(w - 1)*(w + 1)*(4*w + 1)
Let t(z) be the third derivative of z**5/270 + 14*z**2. Factor t(v).
2*v**2/9
Let r(s) = -s**3 - s**2 + s. Let o(a) = -14*a**3 - 16*a**2 + 10*a. Let k(m) = o(m) - 12*r(m). Factor k(g).
-2*g*(g + 1)**2
Let f(v) be the third derivative of -1/12*v**3 + 1/120*v**5 + 0*v + 6*v**2 + 0 + 0*v**4. Solve f(i) = 0 for i.
-1, 1
Find g such that 1/7*g**5 + 0*g**2 + 2/7*g**3 + 0 + 0*g + 3/7*g**4 = 0.
-2, -1, 0
Factor -39*w**4 - 2*w**3 - 2*w**3 + 35*w**4.
-4*w**3*(w + 1)
Let o(s) be the second derivative of -s**6/30 - 4*s**5/15 - 2*s**4/3 - 7*s**2/2 - s. Let v(u) be the first derivative of o(u). Solve v(i) = 0 for i.
-2, 0
Suppose -2*g + 3*v = -1, 6*g - 3*g - 3*v - 3 = 0. Solve -1/4*m**g - 1/4 - 1/2*m = 0 for m.
-1
Let o = 4 - -10. Suppose -o = -5*s + 11. Find h, given that 12*h**3 + 0*h**4 + 7*h**5 + h**s + 18*h**4 + 2*h**2 = 0.
-1, -1/4, 0
Let v = -163/6 - -82/3. Find c, given that -9/2 - 3/2*c**2 + v*c**3 + 9/2*c = 0.
3
Suppose -3*b - 7 + 19 = 0. Let t(i) be the first derivative of 3 + i**2 - 39/8*i**b + 0*i + 53/4*i**5 - 5/3*i**3 - 175/24*i**6. Solve t(k) = 0.
-2/7, 0, 2/5, 1
Let c(p) be the third derivative of 19/15*p**5 - 1/3*p**4 + 0*p**3 - 9*p**2 - 19/10*p**6 + 0 + 16/15*p**7 - 4/21*p**8 + 0*p. Solve c(r) = 0 for r.
0, 1/4, 1, 2
Let w(x) be the first derivative of -x**7/630 + x**6/180 - x**5/180 - x**2/2 - 2. Let i(n) be the second derivative of w(n). Factor i(r).
-r**2*(r - 1)**2/3
Suppose -3*w = -0*r + r - 8, 5*r - 23 = 2*w. Suppose 5*h**3 - 4*h**r + 0*h**5 - 12*h**2 + 4*h + 12*h**4 - 5*h**5 = 0. What is h?
-1, 0, 2/3, 1
Let x(r) be the third derivative of 0*r**3 - 2/35*r**7 + 0*r + 0 + 1/30*r**6 + 0*r**5 + 0*r**4 - 4*r**2. Determine t, given that x(t) = 0.
0, 1/3
Let u = -31 + 31. Let g(w) be the third derivative of -w**2 + 0*w**6 + 0 + 0*w**3 + u*w**5 + 0*w + 0*w**7 + 0*w**4 + 1/1008*w**8. Factor g(m).
m**5/3
Let s be 4/(-26)*(-18)/(-4). Let h = s + 153/52. Factor -9/4*p**3 + h*p - 5/4*p**2 + 7/4*p**4 - 1/2.
(p - 1)**2*(p + 1)*(7*p - 2)/4
Let o(m) be the third derivative of 0*m**5 - 1/24*m**4 + 4*m**2 + 1/1440*m**6 + 0*m - 2/3*m**3 + 0. Let p(s) be the first derivative of o(s). Factor p(n).
(n - 2)*(n + 2)/4
Let t = 6 - 1. Suppose o + 1 = t. Factor 3/2*u + 3/2*u**2 + 3/2*u**o - 1 - 7/2*u**3.
(u - 1)**3*(3*u + 2)/2
Suppose -2*s + 2*u = 8, -2*s - 3*u = -6*u + 12. Factor 2/5*b**2 + s + 2/5*b.
2*b*(b + 1)/5
Let p = 1 + 1. Suppose 0 = 4*o - p*o. Find f such that 2*f + o*f - 3*f**2 + 6*f**2 + f = 0.
-1, 0
Let j(b) = -b**4 - 5*b**3 - 3*b**2 - b - 2. Let g(c) = 3*c**4 + 16*c**3 + 9*c**2 + 3*c + 7. Let a(k) = 2*g(k) + 7*j(k). Factor a(s).
-s*(s + 1)**3
Suppose -3*r = r - 8. Let h(p) be the first derivative of 0*p - 1/2*p**r + 2 + 2/3*p**3 - 1/4*p**4. Factor h(l).
-l*(l - 1)**2
Let m(v) be the first derivative of v**4/2 - 4*v**3/3 - 5*v**2 + 12*v + 59. Factor m(l).
2*(l - 3)*(l - 1)*(l + 2)
Let l(g) be the first derivative of g**6/120 - g**5/80 - g**4/48 + g**3/24 - 6*g - 1. Let s(p) be the first derivative of l(p). Find h such that s(h) = 0.
-1, 0, 1
Let i(x) be the third derivative of x**5/120 - x**4/48 + 2*x**2. Factor i(w).
w*(w - 1)/2
Factor -4*o**3 + 2*o**2 + o**3 + o**4 + 2*o**4 - 8*o**2.
3*o**2*(o - 2)*(o + 1)
Let v(a) be the third derivative of -1/120*a**5 + 1/420*a**7 + 0*a + 0*a**6 - 1/96*a**4 + 0*a**3 + 0 - 6*a**2 + 1/1344*a**8. Factor v(i).
i*(i - 1)*(i + 1)**3/4
Let h(d) = 5*d**3 - 15*d - 2. Let w(n) = -n**3 + n**2 + n + 1. Suppose 6 = v + 3*g, -2*v + 12 = 2*g - 6*g. Let l(t) = v*w(t) + h(t). Factor l(b).
-(b - 4)*(b - 1)**2
Let m(f) = f**4 + f**3 + f**2 + f - 1. Let v(k) = -6*k**4 - 9*k**3 - 18*k**2 - 15*k + 9. Let z = -17 + 8. Let y(w) = z*m(w) - v(w). Factor y(r).
-3*r*(r - 2)*(r + 1)**2
Let x(f) be the first derivative of 5*f**3/12 - 5*f**2/2 - 25*f/4 - 3. Factor x(c).
5*(c - 5)*(c + 1)/4
Factor -27 + 16*g**3 - 110*g + 24*g**2 + 5*g**3 + 92*g - 3*g**3 + 3*g**4.
3*(g - 1)*(g + 1)*(g + 3)**2
Let f = 9 - 6. Factor -3*a**3 - 3*a**3 + a**f + 6*a**3.
a**3
Suppose 0 = -2*p - 2*l - 2*l + 8, -3*l = 4*p - 11. Factor 3*t**2 + t**4 + 0*t**4 + 0*t**4 - 4*t**p.
t**2*(t - 1)*(t + 1)
Let l be (-24)/(-36)*(-3)/(-34). Let d = l + 49/34. Suppose 3 + 9/2*h**5 + d*h - 9*h**2 - 6*h**3 + 6*h**4 = 0. What is h?
-1, 2/3, 1
Let y(u) be the second derivative of u**9/9072 - u**7/840 - u**6/540 - u**3 + 3*u. Let x(c) be the second derivative of y(c). Determine d so that x(d) = 0.
-1, 0, 2
Let t(a) = 2*a**3 - 11*a**2 - 6*a + 2. Let b be t(6). Factor 0*o**b - 1/2*o + 1/4 - 1/4*o**4 + 1/2*o**3.
-(o - 1)**3*(o + 1)/4
Solve -8*m**3 + 57*m + m**4 - 4*m**2 - 3*m**4 - 51*m + 6*m**4 + 2*m**5 = 0 for m.
-3, -1, 0, 1
Let b be (-1)/7*(0 + 1347). Let s = b + 193. Factor -s*u - 2/7 - 2/7*u**2.
-2*(u + 1)**2/7
Find t such that -4*t**4 - 7*t + t + 1 + t + 5*t**3 + 6*t**2 - 3*t**2 = 0.
-1, 1/4, 1
Let i(q) be the second derivative of -13/20*q**5 + q**2 + 1/6*q**3 - 1/6*q**6 + 0 - 3/4*q**4 - 3*q. Factor i(r).
-(r + 1)**3*(5*r - 2)
Let y(h) be the first derivative of 3*h**4 + 16*h**3/3 - 2*h**2 - 8*h + 5. Let y(m) = 0. Calculate m.
-1, 2/3
Factor -6/5*j**3 + 6/5*j**2 + 2/5*j**4 + 0 - 2/5*j.
2*j*(j - 1)**3/5
Suppose -60*w**2 + 147*w**5 + 26*w**4 + 12*w + 63*w**4 + 121*w**4 - 9*w**3 = 0. Calculate w.
-1, 0, 2/7
Let d be 32/(-176) + 48/22. What is a in 40/7*a**3 - 40/7*a + 50/7*a**4 - 8/7 - 6*a**d = 0?
-1, -2/5, 1
Let s(l) = l**2 - 4*l - 9. Let r = -22 + 34. Let c(n) = 3. Let q(d) = r*c(d) + 3*s(d). Solve q(k) = 0 for k.
1, 3
Let a be -1 + 2 - (0 - 0). Let q = a - 1. Factor j**4 + q*j**2 + j**3 + 0*j**5 - j**2 - j**5.
-j**2*(j - 1)**2*(j + 1)
Let u(j) be the second derivative of -j**7/1050 + j**6/150 - j**5/50 + j**4/30 - 4*j**3/3 - j. Let p(d) be the second derivative of u(d). Solve p(x) = 0.
1
Let c = 9 - 6. Suppose -2 = 3*p - 2*t - 18, 0 = -2*p - t - 1. Solve 7*n**c - 4*n**2 + n**p - 4*n**3 = 0 for n.
0, 1
Let b(p) = 15*p + 2. Let w be b(2). Let i = w - 157/5. Solve i*s - 3/5*s**2 + 0 + 3/5*s**4 - 3/5*s**3 = 0 for s.
-1, 0, 1
Suppose -5*p = -u - u + 9, 5*u + 2*p - 8 = 0. Suppose -2*z - 5 = -u*n - 3, 5 = -2*z + 5*n. Let z + 0*b - 1/3*b**4 - 1/3*b**2 - 2/3*b**3 = 0. Calculate b.
-1, 0
Let m(t) be the second derivative of t**5/10 - 2*t**4 + 16*t**3 - 64*t**2 - 61*t. Solve m(h) = 0.
4
Let z(j) = -3*j**3 + 12*j**2 - 3*j - 6. Let t(v) = 3*v**3 - 11*v**2 + 2*v + 6. Let y(w) = -6*t(w) - 5*z(w). Factor y(a).
-3*(a - 2)*(a - 1)*(a + 1)
Let s(j) be the first derivative of 28*j**3/3 - 60*j**2 + 32*j - 10. Factor s(u).
4*(u - 4)*(7*u - 2)
Suppose 0 - 1 = 2*c - l, -2*l = 10. Let f be (2/c)/(1/(-6)). Determine m, given that -2*m**3 + m**4 + 6*m**f - 2*m**4 - 3*m**5 = 