, -1, 0
Factor 4 + 5*z**2 + 3*z - z - 7*z**2.
-2*(z - 2)*(z + 1)
Factor 1/5*w**5 + 11/5*w**3 + 6/5*w**4 - 8/5 - 12/5*w + 2/5*w**2.
(w - 1)*(w + 1)*(w + 2)**3/5
Suppose 2/9*m**4 - 8/9*m - 8/9*m**3 + 4/3*m**2 + 2/9 = 0. Calculate m.
1
Let n(a) be the third derivative of a**7/210 - a**6/180 - a**3/2 - 2*a**2. Let i(p) be the first derivative of n(p). Let i(q) = 0. Calculate q.
0, 1/2
Let z(t) be the first derivative of 3*t**6/4 - 3*t**5/4 + 3*t**4/16 - 14. Factor z(m).
3*m**3*(2*m - 1)*(3*m - 1)/4
Suppose 0 = -2*r + l + 7, 5*r - 23 + 7 = l. Factor -13*d**r - 3*d + 1/4 + 47/4*d**2 - 12*d**4 + 16*d**5.
(d - 1)*(d + 1)*(4*d - 1)**3/4
Let t(m) be the second derivative of 0 + 1/45*m**6 + 1/30*m**5 - 1/18*m**4 - m - 1/9*m**3 + 0*m**2. Factor t(z).
2*z*(z - 1)*(z + 1)**2/3
Let m(h) be the first derivative of -h**6/1080 - h**5/360 - 2*h**3/3 - 1. Let v(r) be the third derivative of m(r). Suppose v(a) = 0. What is a?
-1, 0
Let x(g) = g - 4. Let c be x(6). Let s be (-2)/(-5)*(-1)/(-2). Factor 0*d + s*d**4 - 1/5*d**c - 1/5*d**5 + 1/5*d**3 + 0.
-d**2*(d - 1)**2*(d + 1)/5
Let k(g) be the first derivative of -g**8/840 + g**6/150 - g**4/60 - g**2/2 + 3. Let w(t) be the second derivative of k(t). Let w(s) = 0. Calculate s.
-1, 0, 1
Suppose 3/7 - 3/7*f + 6/7*f**3 - 3/7*f**5 + 3/7*f**4 - 6/7*f**2 = 0. What is f?
-1, 1
Let c(q) = -2*q**3 + 8*q**2 + 4*q - 4. Let k(h) = -3*h**3 + 15*h**2 + 7*h - 7. Let t(r) = 7*c(r) - 4*k(r). Factor t(o).
-2*o**2*(o + 2)
Factor 8*z + 2*z**5 + z**4 - 7*z**2 - 5*z - 2*z - 3*z - 6*z**3.
z*(z - 2)*(z + 1)**2*(2*z + 1)
Let k be -4 - (-2 - 10) - 6. Factor -1/2*q**k + 0 + 1/2*q**3 + 0*q.
q**2*(q - 1)/2
Let n be 16/234 + (-18)/(-117). Let s = -2/89 + 196/801. Factor -2/9*x - s + n*x**2 + 2/9*x**3.
2*(x - 1)*(x + 1)**2/9
Let a = -14 + 16. Suppose a*z = -u - 2*u + 2, -u - 3*z - 4 = 0. Factor 1/4*c - 1/4*c**u + 0.
-c*(c - 1)/4
Let g(k) = -4*k**3 - k**2 - k - 1. Let c be g(-1). Let w = -7 + 10. Suppose 0*t**c + w*t**3 - t**3 - t**2 - t**4 = 0. Calculate t.
0, 1
Suppose x = -2*z - 3, -3*x - 5*z = -1 + 7. Suppose -3*i - 4*c + 4 = 14, 4*i + x*c = -4. Find f, given that -2*f**3 - i*f**4 - 2*f**2 + 2*f**2 = 0.
-1, 0
Let s(o) be the first derivative of -o**6/30 + 2*o**5/25 - o**4/20 + 1. Factor s(i).
-i**3*(i - 1)**2/5
Factor 2*o + 1/4*o**2 + 4.
(o + 4)**2/4
Let r(t) be the third derivative of t**6/90 - t**5/15 + 8*t**3/9 + 38*t**2. Let r(o) = 0. What is o?
-1, 2
Let h = -174 - -174. Let s(j) be the second derivative of 2*j + h*j**4 + 0*j**2 + 1/6*j**7 + 1/10*j**5 + 0*j**3 + 0 + 3/10*j**6. Find u, given that s(u) = 0.
-1, -2/7, 0
Let q(g) = -3*g**2 + 2*g + 3. Let t = -105 + 54. Let s(j) = -25*j**2 + 17*j + 25. Let p(c) = t*q(c) + 6*s(c). Factor p(o).
3*(o - 1)*(o + 1)
Let z(g) = -g**2 - 5*g + 6. Let s = -6 - 0. Let t be z(s). Factor 0*m**3 - m**3 + 4*m**3 + t*m**2 - 3*m**2.
3*m**2*(m - 1)
Let h = 12 - 8. Suppose b = -h*u + 2*u, -2*b + 5*u + 9 = 0. Let 0*j**b + j + j**2 + 0*j = 0. Calculate j.
-1, 0
Let k be (-2)/60*25/(-15). Let o(g) be the third derivative of 1/180*g**5 - 1/36*g**4 + 0*g + 0 + 4*g**2 + k*g**3. Factor o(f).
(f - 1)**2/3
Let b = 38 - 35. Let n(x) be the third derivative of 0*x**4 + 0 + 0*x**3 + 0*x + 1/270*x**5 - 1/540*x**6 + b*x**2. What is d in n(d) = 0?
0, 1
Let k(d) = 3*d**3 - 5*d**2 + d + 4. Let p(o) = o**3 - 2*o**2 + o + 2. Let f = -36 + 21. Let z(m) = f*p(m) + 6*k(m). Factor z(s).
3*(s - 2)*(s + 1)**2
Let t(z) be the third derivative of 0*z + 1/75*z**5 + 1/20*z**4 + z**2 + 0*z**7 + 0 - 1/75*z**6 - 2/15*z**3 + 1/840*z**8. Factor t(q).
2*(q - 1)**3*(q + 1)*(q + 2)/5
Let r(p) be the third derivative of 0 + 2/15*p**3 + 1/15*p**4 + 0*p + 1/60*p**5 + 3*p**2 + 1/600*p**6. Factor r(h).
(h + 1)*(h + 2)**2/5
Let z be (6/168)/(10/8). Let m(i) be the third derivative of 0*i + 0*i**4 - z*i**7 + 0 + i**2 + 1/168*i**8 - 1/30*i**5 + 0*i**3 + 1/20*i**6. Factor m(d).
2*d**2*(d - 1)**3
Let v be (-3)/(-2) - (51/(-6) + 8). Let x(s) be the first derivative of -3/20*s**4 + 0*s**v + 12/5*s + 1 - 3/5*s**3. Determine i, given that x(i) = 0.
-2, 1
Let o = 178 - 176. What is i in 1/3*i + 1/3*i**o + 0 = 0?
-1, 0
Factor 25 - 2*d - 3*d**3 + 0*d + 5*d**2 - 25.
-d*(d - 1)*(3*d - 2)
Let f = -336 - -625/2. Let a = f + 24. Determine x, given that -x**3 - 1/2 + 1/2*x**5 - a*x**4 + 1/2*x + x**2 = 0.
-1, 1
Let r(b) be the first derivative of 7*b**4/18 - 32*b**3/27 + 4*b**2/9 + 7. Suppose r(w) = 0. What is w?
0, 2/7, 2
Let p = -24 - -30. Let b(k) be the third derivative of -1/525*k**7 + 0 - 1/300*k**p + 0*k + 1/60*k**4 + 1/150*k**5 - 2*k**2 + 0*k**3. Let b(n) = 0. What is n?
-1, 0, 1
Let h = 393 + -393. Factor -2/5*v**5 + 0 + 8/5*v**2 + 2*v**4 - 16/5*v**3 + h*v.
-2*v**2*(v - 2)**2*(v - 1)/5
Let o(u) be the third derivative of u**5/30 - 3*u**2. Factor o(g).
2*g**2
Let p(y) be the third derivative of y**8/10080 - y**7/7560 - y**6/540 - y**5/20 - 5*y**2. Let h(d) be the third derivative of p(d). Factor h(l).
2*(l - 1)*(3*l + 2)/3
Let v = -2353 - -303535/129. Let d = v - -88/129. Suppose -d*j**2 + 2/3 + 2/3*j - 2/3*j**3 = 0. What is j?
-1, 1
Let l(g) be the second derivative of -g**5/100 + g**4/15 - g**3/6 + g**2/5 - g. Determine c so that l(c) = 0.
1, 2
Let q(d) = 26*d**4 + 4*d**3 - 4*d**2 - 26*d. Let m be 64/6 + (-6)/(-18). Let v(t) = -5*t**4 - t**3 + t**2 + 5*t. Let l(j) = m*v(j) + 2*q(j). Factor l(o).
-3*o*(o - 1)*(o + 1)**2
Let y = 8 + -6. Let i = 11 + y. Solve -u**2 + 2*u**4 + u**4 + i*u**3 - 15*u**3 = 0.
-1/3, 0, 1
Let m(r) be the second derivative of r**5/90 - r**4/9 + 4*r**3/9 - r**2/2 - 3*r. Let z(g) be the first derivative of m(g). Factor z(y).
2*(y - 2)**2/3
Factor 1/9*r**5 + 5/9*r - 1/9*r**4 - 2/9*r**2 - 2/3*r**3 + 1/3.
(r - 3)*(r - 1)*(r + 1)**3/9
Let d = 6188 - 92768/15. Let u = -4/5 + d. Find l, given that 4*l - u - 2*l**2 + 1/3*l**3 = 0.
2
Let g be (2 + 0)*(-9)/(-6). Factor 3*s + 3*s**3 + 3*s**g - s**3 - 2*s**3 - 6*s**2.
3*s*(s - 1)**2
Let t(s) = 7*s**5 - 15*s**3 - 5*s**2 + 3*s + 3. Let p(r) = 22*r**5 - 46*r**3 - 14*r**2 + 10*r + 10. Let w = 25 + -15. Let n(i) = w*t(i) - 3*p(i). Factor n(a).
4*a**2*(a - 2)*(a + 1)**2
Let r = -3391/22 - -154. Let w = 23/154 - r. Factor -w*s**2 + 0*s + 0 + 2/7*s**3.
2*s**2*(s - 1)/7
Let w(j) be the third derivative of j**6/200 + 3*j**5/50 + 3*j**4/10 + 4*j**3/5 - 9*j**2. Determine t so that w(t) = 0.
-2
Let k(w) = w**3 - 3*w**2 + w - 3. Let p = 4 - 1. Let i be k(p). Factor v**5 + 3*v - 2*v**3 - 2*v + i*v.
v*(v - 1)**2*(v + 1)**2
Let j(k) = -k**2 - 5*k - 2. Let m be 39/(-9) + 3/9. Let p be j(m). Find y such that -2*y + 0 + 2*y**p + 3/2*y**3 - 1/2*y**5 - y**4 = 0.
-2, 0, 1
Let q = -2 - -7/2. Find m, given that 27/4*m**2 + q*m**4 + 3/4 + 15/4*m + 21/4*m**3 = 0.
-1, -1/2
Let b(r) be the first derivative of -3*r**5/25 - 3*r**4/10 - r**3/5 + 6. Find z such that b(z) = 0.
-1, 0
What is n in -28/5 - 94/5*n + 14/5*n**2 = 0?
-2/7, 7
Let y be (-2 + -2)*17/4. Let f(k) = 5*k**3 + 3*k**2 + 6*k - 10. Let s(w) = 14*w**3 + 9*w**2 + 17*w - 29. Let p(o) = y*f(o) + 6*s(o). Let p(g) = 0. Calculate g.
-1, 2
Let o = -25 - -103. Let s be (14/(-4))/((-5)/10). What is t in -3 - o*t**2 + 30*t**2 + 42*t**3 - 3 + 20*t + s*t - 18*t**4 + 3*t**5 = 0?
1, 2
Let p(h) be the third derivative of -1/6*h**3 + 1/30*h**5 + 4*h**2 + 0*h - 1/210*h**7 + 1/24*h**4 + 0 + 1/336*h**8 - 1/60*h**6. Solve p(m) = 0 for m.
-1, 1
Let y(q) be the third derivative of 1/6*q**4 + 1/30*q**5 - 1/60*q**6 + 2*q**2 + 0*q + 0*q**3 + 0. Let y(g) = 0. Calculate g.
-1, 0, 2
Let x = -66 - -68. Factor x*w**2 + 0 + 2/3*w**4 - 2*w**3 - 2/3*w.
2*w*(w - 1)**3/3
Let m(u) be the third derivative of -121*u**7/105 - 143*u**6/30 - 46*u**5/15 - 2*u**4/3 - 4*u**2. What is f in m(f) = 0?
-2, -2/11, 0
Let u(l) be the first derivative of l**3/18 - l**2/2 - 7*l/6 + 19. Suppose u(z) = 0. Calculate z.
-1, 7
Let r be -8 + (-1)/(-10)*-2. Let o = -113/15 - r. Factor -o*g**2 + 4/3*g - 2/3.
-2*(g - 1)**2/3
Let x(t) = -16*t**3 + 6*t**2 - 11. Let c be (-21)/6 + 6/4. Let m(v) = -3*v**3 + v**2 - 2. Let b(u) = c*x(u) + 11*m(u). Factor b(o).
-o**2*(o + 1)
Let a = 15 + -11. Suppose -6 = -a*d - 2*y, -3*d - 9 = -8*d - 2*y. Solve 7/2*o - 4*o**2 - 1 + 3/2*o**d = 0 for o.
2/3, 1
Let v(a) be the first derivative of -a**6/240 + a**5/120 + a**4/48 - a**3/12 + 2*a**2 - 2. Let d(s) be the second derivative of v(s). Factor d(