 be the third derivative of x**6/420 - x**5/70 + 3*x**2. Factor m(l).
2*l**2*(l - 3)/7
Suppose -m = -2*q, 5*m + 4*q + 2 = 30. Factor 8*h**3 - 6*h**3 + h**5 + 2*h**m - h**3.
h**3*(h + 1)**2
Let j be (9/90)/(28/(-230)). Let d = -4/7 - j. Suppose d*r**2 + 0*r + 0 = 0. Calculate r.
0
Let o(p) = p**4 - 5*p**2 - 4*p - 2. Let k(u) = -13*u + 2*u**4 - 17*u**2 + u**2 - 3 + u**4 - 4. Let s(j) = 4*k(j) - 14*o(j). Factor s(q).
-2*q*(q - 2)*(q + 1)**2
Find c such that 24/7*c + 8/7*c**3 - 9/7 - 1/7*c**4 - 22/7*c**2 = 0.
1, 3
Let n = 7 + 0. Let p(r) = n + 5*r**2 - 10*r**3 - 5*r - 2*r + r**2. Let a(g) = 3*g**3 - 2*g**2 + 2*g - 2. Let k(c) = -7*a(c) - 2*p(c). Factor k(u).
-u**2*(u - 2)
Suppose 5*z + 3*q - 5 = 0, -4*q + 3*q + 3 = 2*z. Let y be z/3*3/2. Factor 0 - 2/5*l**3 + 2/5*l**y + 0*l.
-2*l**2*(l - 1)/5
Let i(m) be the second derivative of -m**5/180 - m**4/72 + 3*m**2 - 5*m. Let p(z) be the first derivative of i(z). Factor p(h).
-h*(h + 1)/3
Factor -14*z**2 + 0*z**2 + 2*z + 14 - 2*z**3 - 2 + 2.
-2*(z - 1)*(z + 1)*(z + 7)
Suppose -2*s - 1 = -3*s. Let g = 2 - s. Find o such that 2*o**4 + g + 2*o**3 + 0*o - 2*o - 3*o**4 = 0.
-1, 1
Let n(m) be the first derivative of -m**7/420 + m**6/60 - m**5/30 + 3*m**3 + 5. Let w(l) be the third derivative of n(l). Factor w(b).
-2*b*(b - 2)*(b - 1)
Let f(k) be the third derivative of 0*k - 1/135*k**5 - 1/36*k**4 - 1/27*k**3 + 0 - 3*k**2. Factor f(b).
-2*(b + 1)*(2*b + 1)/9
Let q be (-1)/((-2)/6 - 0). Solve -5 - 27*k - 33*k**2 + 0*k**5 + 19*k**5 - 1 - k**5 + 9*k**q + 39*k**4 = 0.
-1, -2/3, -1/2, 1
Let v(d) be the first derivative of d**4 + 0*d**2 - 3/5*d**5 + 0*d - 1/3*d**3 - 3. Suppose v(w) = 0. Calculate w.
0, 1/3, 1
Let q(d) be the first derivative of d**4/24 - d**3/4 - d + 6. Let a(s) be the first derivative of q(s). Factor a(i).
i*(i - 3)/2
Let d(c) = 14*c**3 - 4*c**3 - 6*c**2 + 0 + 11*c + 11 + 5*c**4. Let x(o) = o**4 + 2*o**3 - o**2 + 2*o + 2. Let z(v) = -2*d(v) + 11*x(v). Factor z(a).
a**2*(a + 1)**2
Let n be ((-14)/(-21))/(2/18). Factor -5*x**3 - 4 + n*x**3 + 4 - x**4.
-x**3*(x - 1)
Let j(l) be the first derivative of -3*l**5/5 + l**3 + 7. Determine z, given that j(z) = 0.
-1, 0, 1
Let v(o) = -5*o**2 - 3*o + 5. Let g(a) = 4*a + 4*a**2 - 4*a - 5*a**2 - a + 1. Let f(j) = -3*g(j) + v(j). Factor f(s).
-2*(s - 1)*(s + 1)
Let t(k) = -k**2 - 2*k + 2. Let m be t(0). Let d(r) be the first derivative of m - r**4 + 2*r**2 + 2/3*r + 16/9*r**3 - 6/5*r**5. What is v in d(v) = 0?
-1, -1/3, 1
Find l such that 20*l**3 + 2*l - 4*l**4 - 20*l**2 - 15*l - 7*l + 24 = 0.
-1, 1, 2, 3
Let -3/7*o**2 + 0 + 3/7*o**3 - 3/7*o + 3/7*o**4 = 0. Calculate o.
-1, 0, 1
Let d(j) = -7*j**2 + j + 4. Let w(o) = -6*o**2 + 2*o + 4. Let z(q) = 5*d(q) - 6*w(q). Let n be z(8). What is x in -3 + 2 - 2*x + 2*x**3 + 0*x + 0*x + x**n = 0?
-1, 1
Let c be (-5)/1*2/(-10) + 1. Let n(p) be the first derivative of -2/3*p**3 + 1/2*p**4 + 0*p - 1 - c*p**2. Let n(w) = 0. Calculate w.
-1, 0, 2
Let z(r) be the first derivative of 2/9*r**3 - 1/3*r - 1/6*r**2 - 1/15*r**5 - 1/18*r**6 + 1/6*r**4 + 3. Factor z(t).
-(t - 1)**2*(t + 1)**3/3
Let y be (24/(-15))/((-18)/10). Let p be (-4)/((-9)/(1 - -2)). Let p*m**3 + 2/9*m + y*m**4 + 2/9*m**5 + 8/9*m**2 + 0 = 0. What is m?
-1, 0
Let v(i) be the second derivative of -3*i**5/20 - i**4/4 + i**3/2 + 3*i**2/2 - 4*i. Factor v(y).
-3*(y - 1)*(y + 1)**2
Factor 0 + 4/3*b**4 - 2*b**3 - 1/3*b**5 + 4/3*b**2 - 1/3*b.
-b*(b - 1)**4/3
Let o(i) = i**3 + 5*i**2 + 3*i + 6. Let q be o(-4). Suppose y = -4*y + q. Factor 0 + 2/3*h**3 + 0*h + 1/3*h**4 + 1/3*h**y.
h**2*(h + 1)**2/3
Suppose 18 = -y + 5*m, y - 2*y - 4*m = 0. Let k be (-2)/y - 1/(-28). Let 2/7*j + 0 - 2/7*j**3 + 2/7*j**2 - k*j**4 = 0. What is j?
-1, 0, 1
Let a(v) be the third derivative of 0 + 0*v + 2/15*v**4 + 1/100*v**5 - 13/600*v**6 + 2/525*v**7 - 2/15*v**3 - 2*v**2. Factor a(u).
(u - 2)**2*(u + 1)*(4*u - 1)/5
Let y(o) be the second derivative of 3/100*o**5 + 0*o**2 + 0*o**4 - 1/10*o**3 + 0 + 4*o. Determine c so that y(c) = 0.
-1, 0, 1
Let u(r) be the third derivative of 1/108*r**4 + r**2 - 1/135*r**5 + 0*r - 1/270*r**6 + 1/1512*r**8 + 1/27*r**3 + 1/945*r**7 + 0. Factor u(i).
2*(i - 1)**2*(i + 1)**3/9
Let u(z) be the first derivative of -5*z**4/4 - 10*z**3/3 + 5*z**2/2 + 10*z + 21. Determine g so that u(g) = 0.
-2, -1, 1
Let c(b) = b**2 + 9*b + 2. Let t(a) = -3*a**2 - 36*a - 9. Let s(f) = -9*c(f) - 2*t(f). Factor s(z).
-3*z*(z + 3)
Let g(r) be the third derivative of r**8/13440 - r**6/480 + r**5/120 - r**4/12 + 3*r**2. Let m(c) be the second derivative of g(c). Factor m(q).
(q - 1)**2*(q + 2)/2
Let g(f) = 12*f**5 - 27*f**4 + 45*f**3 - 12*f**2 + 9*f. Let w(i) = -3*i**5 + 7*i**4 - 11*i**3 + 3*i**2 - 2*i. Let r(h) = 2*g(h) + 9*w(h). Solve r(o) = 0.
0, 1
Let s(c) be the first derivative of 4/3*c + 3*c**2 + 3 + 5/6*c**4 + 8/3*c**3. Factor s(a).
2*(a + 1)**2*(5*a + 2)/3
Let k(x) be the first derivative of -2*x**5/85 + 3*x**4/17 - 6*x**3/17 - 4*x**2/17 + 24*x/17 - 20. Suppose k(b) = 0. What is b?
-1, 2, 3
Let n(o) = -6*o**2 + 11*o + 9 - 39*o + 1. Let f(j) = 2*j**2 + 9*j - 3. Let h(t) = 16*f(t) + 5*n(t). Factor h(w).
2*(w + 1)**2
Let s(k) = k + 2. Suppose 3*r - 3*z = -15, -3*z + 19 - 4 = r. Let n be s(r). Factor b - 1/2*b**n - 1/2.
-(b - 1)**2/2
Let b(l) be the first derivative of l**6/21 - 8*l**5/35 - l**4/7 + 8*l**3/7 + 9*l**2/7 - 29. Let b(a) = 0. Calculate a.
-1, 0, 3
Let 15*j**2 - 12*j + 5*j**3 - 11*j**3 + 3 - j**3 + j**3 = 0. What is j?
1/2, 1
Let i = 17 + -15. Let w be ((-6)/8)/(i/(-8)). Factor 2/7 + 6/7*g + 6/7*g**2 + 2/7*g**w.
2*(g + 1)**3/7
Let n be (-2)/5 - (-14)/35. Let i(h) = h**2 - 5*h + 6. Let j be i(4). Factor n + 2/5*q - 2/5*q**j.
-2*q*(q - 1)/5
Let p be (138/(-18) + 8)/(13/6). Determine z so that -16/13 - 12/13*z**2 - p*z**3 - 24/13*z = 0.
-2
Let v(k) be the first derivative of 3*k**5/5 + 33*k**4/10 + 28*k**3/5 + 12*k**2/5 + 1. Factor v(d).
3*d*(d + 2)**2*(5*d + 2)/5
Suppose -q = 2 - 4. What is v in 4/3*v + 1/3*v**q + 4/3 = 0?
-2
Factor -192/5 - 36/5*w**2 - 3/5*w**3 - 144/5*w.
-3*(w + 4)**3/5
Suppose -5*h - 2*m = -17, -5*h + 0 + 21 = m. Let q be (h/2)/5*10. Solve -9*c**3 - q*c**3 + 7 - 10*c**4 + 16*c - 2*c**5 + 1 + 2*c**2 = 0 for c.
-2, -1, 1
Suppose -8 = -4*m - 0. Let m*g**4 + 2*g**5 - 4*g**4 - 3*g**5 + 3*g**4 = 0. What is g?
0, 1
Suppose 5*m - 91 = -5*k + 79, m - 37 = -4*k. Let d = m + -65/2. Find x, given that 0*x - 1/2 + d*x**2 = 0.
-1, 1
Let z(w) be the first derivative of -8*w**5/55 + w**4/22 + 8*w**3/33 - w**2/11 + 7. What is u in z(u) = 0?
-1, 0, 1/4, 1
Let v be -2*7/((-21)/6). Factor -1 - 4*o + o**3 - 6*o**2 + o**2 + o**3 - v*o**3.
-(o + 1)**2*(2*o + 1)
Let u(d) be the third derivative of d**6/280 - d**5/140 + d**2. Factor u(r).
3*r**2*(r - 1)/7
Find g such that -3*g**2 - 4*g + 5*g - 7*g + 9 = 0.
-3, 1
Let x be (-22)/(-20) + (-6)/10. Factor 1/2*f**2 - 1 + x*f.
(f - 1)*(f + 2)/2
Suppose -2*m = 3*m - 25. Let 2*h**5 - 20*h**4 + 2*h**m + 12*h**4 = 0. Calculate h.
0, 2
Let a(p) = -p**2 - 3*p + 7. Let v be a(-5). Let y be (-1)/3*7 - v. Let 0 - 2*j**2 - 2*j**3 - y*j - 2/3*j**4 = 0. What is j?
-1, 0
Let b be 1/2 - 23/(-2). Let l = -10 + b. Factor 2*t**2 - t**2 + 3*t**4 - 2*t**4 + l*t**3.
t**2*(t + 1)**2
Let i(d) be the third derivative of d**5/15 + 5*d**4/24 - d**3/4 - 15*d**2. Let i(j) = 0. Calculate j.
-3/2, 1/4
What is l in -1/2*l**3 + 0*l**2 + 0 + 0*l = 0?
0
Let b(j) be the second derivative of -j**9/68040 + j**8/15120 - j**4/4 + 5*j. Let s(n) be the third derivative of b(n). Find f, given that s(f) = 0.
0, 2
Let p = 3 + 3. Suppose -p*u = -2*u - 12. Factor 4/7*i + 6/7*i**2 + 2/7*i**u + 0.
2*i*(i + 1)*(i + 2)/7
Let f(t) be the second derivative of t**6/180 - t**5/20 + t**4/6 - 2*t**3/3 - 4*t. Let c(k) be the second derivative of f(k). Determine w so that c(w) = 0.
1, 2
Let y be 1 + (1 - (2 + -2)). Factor -q**3 + 11 - 3*q**y - 3*q + 4*q**3 - 8.
3*(q - 1)**2*(q + 1)
Suppose 0 = 3*h - 7*h - 24. Let q be 5/h*12/(-30). Determine w so that 1/3*w**2 + 0 + 0*w - q*w**4 - 4/3*w**3 + 4/3*w**5 = 0.
-1, 0, 1/4, 1
Let 15 + 0*i**2 - 10*i**2 + 3*i**2 + i**2 - 9*i = 0. Calculate i.
-5/2, 1
Let v(q) be the second derivative of 0*q**3 - 1/70*q**6 + 0 + 6*q + 0*q**5 + 0*q**2 + 1/28*q**4. Solve v(h) = 0 for h.
-1, 0, 1
Let u(b) = b + 3. Let o be u(0). Factor 3*h**3 + 3*h**3 - o*h**4 - 3*h + 0*h