10 - q**6/240 - q**4/3 + 2*q. Let c(l) be the third derivative of r(l). Factor c(t).
-3*t*(t + 1)**2*(2*t + 1)
Let v = -9 - -16. Let o = v + -4. Factor 2*d**2 + 2 + 3*d - o*d + 4*d.
2*(d + 1)**2
Let v = 0 - -5. Let t(l) be the second derivative of 1/5*l**v + 2*l + 0 - l**2 + 1/15*l**6 + 0*l**4 - 2/3*l**3. Factor t(q).
2*(q - 1)*(q + 1)**3
Let q(g) = -2*g**2 - 8*g. Let t(i) = 29*i + 4*i**2 + 4*i + 4*i**2 + i**2. Let b(s) = -21*q(s) - 5*t(s). Find l, given that b(l) = 0.
0, 1
Let p be 4/20*80/104. Suppose -u = 3*h - 8, -1 + 7 = 5*h - 2*u. Factor -2/13 + p*l**5 + 6/13*l**4 - 6/13*l - 4/13*l**h + 4/13*l**3.
2*(l - 1)*(l + 1)**4/13
Suppose 8*q + 12 = 11*q. Factor -4*w**4 - 15*w - 28*w + 3*w**q - 24*w**2 + 11*w - 16 - 8*w**3.
-(w + 2)**4
Let k be (34 - 4)/(-1 - -3). Let c = -13 + k. Solve -1/2*a**c + 1/2*a + 1/2*a**4 + 0 - 1/2*a**3 = 0.
-1, 0, 1
Suppose 4*p = 2*a + 12 - 6, -6 = -2*a. Let t(q) be the third derivative of 0 - q**2 + 0*q**p + 1/42*q**4 - 1/210*q**5 + 0*q. Determine i so that t(i) = 0.
0, 2
Let d(m) be the third derivative of -m**7/840 - m**6/480 + 12*m**2 + 1. Find l such that d(l) = 0.
-1, 0
Factor 4/11*j**2 + 0 + 2/11*j**3 + 2/11*j.
2*j*(j + 1)**2/11
Let u(r) be the third derivative of -r**6/24 + 7*r**5/12 - 25*r**4/8 + 15*r**3/2 - 18*r**2. Find o, given that u(o) = 0.
1, 3
Let u = -19 - -16. Let r(o) = 5*o**4 + 3*o**3 + 4*o - 4. Let b(n) = 4*n**4 + 2*n**3 + 3*n - 3. Let t(z) = u*r(z) + 4*b(z). Solve t(j) = 0 for j.
0, 1
Let m(w) = 12 + 2*w**2 - 12 - 6*w. Let a(t) = 3*t**2 - 11*t. Let v be 1*14/(0 + 2). Let f(n) = v*m(n) - 4*a(n). Find s such that f(s) = 0.
-1, 0
Suppose -3*u - o + 1 = -2*u, -u + 5 = 5*o. Factor 6/7*l - 4/7 - 2/7*l**3 + u*l**2.
-2*(l - 1)**2*(l + 2)/7
Suppose -2*i = s - 5, -5*s + 2*i = -2*i - 25. Factor 0*u - s*u + 3*u**2 - 7 - u - 2.
3*(u - 3)*(u + 1)
Let a be (3/6)/(3/(-6)). Let u(h) = h**2 - h. Let z be u(a). Factor 3 - z*x**3 - 3*x + 5*x - 3.
-2*x*(x - 1)*(x + 1)
Let l(w) = -2*w - 2. Let s(a) be the first derivative of a**4/4 - a**3/3 - 5*a**2/2 - 5*a + 2. Let g = 1 + -3. Let r(i) = g*s(i) + 5*l(i). Factor r(j).
-2*j**2*(j - 1)
Factor 2/5 - 2/5*g**4 - 4/5*g**3 + 4/5*g + 0*g**2.
-2*(g - 1)*(g + 1)**3/5
Let u be (-3 + 0)/(3 + -5 - -1). Let d(c) be the third derivative of 1/240*c**5 - u*c**2 + 0*c + 0 + 1/6*c**3 + 1/24*c**4. Let d(s) = 0. Calculate s.
-2
Let b = -10 - -12. Factor 0*c**3 + 2*c + 4*c**b + 0*c**3 - 4 - 2*c**3.
-2*(c - 2)*(c - 1)*(c + 1)
Suppose -4*y + w = -19, -13 = 3*y - 5*y - 3*w. Let p be (6/15)/(3/y). Determine l, given that 0 + 0*l**2 + 0*l + p*l**5 - 4/3*l**4 + 2/3*l**3 = 0.
0, 1
Let l(u) be the third derivative of 1/150*u**5 + u**2 + 0*u - 1/525*u**7 - 2/15*u**4 + 1/60*u**6 + 4/15*u**3 + 0 - 1/840*u**8. Factor l(x).
-2*(x - 1)**3*(x + 2)**2/5
Let t(q) be the third derivative of -q**7/840 + q**6/180 - q**5/120 - q**3/3 + 2*q**2. Let f(v) be the first derivative of t(v). Factor f(h).
-h*(h - 1)**2
Suppose 5*l + 485 = 500. Factor 0 + 2/7*s**4 + 0*s + 2/7*s**2 - 4/7*s**l.
2*s**2*(s - 1)**2/7
Let t(j) = 2 + 1 - 2*j**2 + 4*j**2 + 2*j. Let o(l) = -3*l**2 - 3*l - 4. Let n(u) = 3*o(u) + 4*t(u). Let n(g) = 0. What is g?
-1, 0
Let j(t) = -6*t**3 - 12*t**2 - 6*t. Let y(u) = u**3 + u**2. Let b(n) = -j(n) - 9*y(n). Factor b(w).
-3*w*(w - 2)*(w + 1)
Let d(f) be the first derivative of -3 + 1/10*f**2 - 1/12*f**4 - 3*f + 2/15*f**3. Let a(o) be the first derivative of d(o). Find z such that a(z) = 0.
-1/5, 1
Let w(q) be the first derivative of 0*q - q**2 - 1/2*q**4 + 2 - 4/3*q**3. Factor w(f).
-2*f*(f + 1)**2
Let h(v) be the second derivative of -v**5/15 - v**4/3 + 4*v**2 - 6*v. Let d(c) be the first derivative of h(c). Let d(z) = 0. Calculate z.
-2, 0
Factor 4/3*l + 0 - 5/3*l**2 + 1/3*l**3.
l*(l - 4)*(l - 1)/3
Factor 15 + 4*y**2 + 9 + 84*y - 64*y.
4*(y + 2)*(y + 3)
Let 3*i**3 - 117*i**2 + 141*i**2 + i**3 - 8*i**4 = 0. Calculate i.
-3/2, 0, 2
Let l(z) be the third derivative of -z**7/140 - 7*z**6/160 - 3*z**5/80 - 3*z**2. Factor l(y).
-3*y**2*(y + 3)*(2*y + 1)/4
Let d(g) be the second derivative of -g**5/20 - g**2 + g. Let k(c) be the first derivative of d(c). Factor k(b).
-3*b**2
Let s = -7/8 - -37/24. Suppose 7 = 5*a - 3. Find r such that s*r + 2/9*r**3 + 2/3*r**a + 2/9 = 0.
-1
Let j(c) be the second derivative of c**9/7560 + c**8/2520 - c**7/3780 - c**6/540 + c**4/6 + c. Let q(n) be the third derivative of j(n). Factor q(i).
2*i*(i + 1)**2*(3*i - 2)/3
What is w in -2/9*w**5 + 0*w + 0*w**2 + 0*w**3 + 0 - 4/9*w**4 = 0?
-2, 0
Let j(t) be the second derivative of -5*t**7/42 - t**6/30 - 9*t. Factor j(f).
-f**4*(5*f + 1)
Let t = 5 + -2. Let c be t - 3 - (-6 - 1). Find a, given that -a**4 - 5*a**3 - 3*a**2 + a**3 + c*a**3 + a = 0.
0, 1
Let s(y) = y**3 + 7*y**2 + 2. Let j = 12 - 19. Let k be s(j). Suppose -2/3*a**k - 2/3 - 4/3*a = 0. Calculate a.
-1
Let s(u) be the third derivative of -u**9/332640 + u**8/110880 + u**5/60 + u**2. Let t(p) be the third derivative of s(p). Suppose t(q) = 0. Calculate q.
0, 1
Suppose -2*u = 5*b - 26, u = 4*b - 4 - 9. Let x(f) be the first derivative of 0*f**2 + 0*f + 0*f**3 + 3 - 2/25*f**5 - 1/10*f**b. Find z, given that x(z) = 0.
-1, 0
Suppose 3 = -c - 4*i + 19, 2*c + 5*i = 23. Factor k**4 - 2*k**3 + c*k**5 + k**3 - 2*k**5.
k**3*(k + 1)*(2*k - 1)
Find v, given that -2*v**2 + 87*v + v**3 + 89*v - 4 - 183*v = 0.
-1, 4
Let u = 19/6 - 8/3. Let -3/4*t**2 - 1/4*t**3 + 0 - u*t = 0. What is t?
-2, -1, 0
Let d(p) be the second derivative of -1/5*p**4 - 7*p + 2/25*p**5 - 1/5*p**2 + 4/15*p**3 + 0 - 1/75*p**6. What is n in d(n) = 0?
1
Let n = -149 - -451/3. Factor 1/3*x**3 + 0*x + x**2 - n.
(x - 1)*(x + 2)**2/3
Factor 10*a**5 - 22*a**5 + 9*a**5 + 6*a**5 - 3*a**3.
3*a**3*(a - 1)*(a + 1)
Let o be 4 + 80/(-24) + 2/(-3). Factor 0 - u**2 + o*u - u**3 - 1/4*u**4.
-u**2*(u + 2)**2/4
Let h(o) be the first derivative of 2*o**5/5 - 7*o**4/4 + 4*o**3/3 + 2*o**2 + 11. Factor h(q).
q*(q - 2)**2*(2*q + 1)
Suppose 4*x = 5*h + 15, 0 = -x - 3*x + 2*h + 6. Factor -2/9*n**4 + x + 2/9*n - 2/9*n**3 + 2/9*n**2.
-2*n*(n - 1)*(n + 1)**2/9
Suppose -6*f + 6 = -9*f. Let a = 0 - f. Factor 4/9*c - 2/9*c**a - 2/9.
-2*(c - 1)**2/9
Let g(f) = 81*f**3 - 159*f**2 + 144*f - 33. Let d(m) = 5*m**3 - 10*m**2 + 9*m - 2. Let i(t) = -33*d(t) + 2*g(t). Determine q so that i(q) = 0.
0, 1, 3
Let h be (-2)/(-1*15 + -3). Let o(a) be the first derivative of 0*a**2 + 1 + 1/12*a**4 - 2/15*a**5 + h*a**3 + 0*a. Factor o(w).
-w**2*(w - 1)*(2*w + 1)/3
Let v = -9 - -29/3. Let s(p) be the first derivative of -2 + 0*p**2 + 0*p + p**4 + 2/5*p**5 + v*p**3. Factor s(y).
2*y**2*(y + 1)**2
Let a(l) be the second derivative of -l**6/225 + l**5/75 - 2*l**3/45 + l**2/15 - l. Find g such that a(g) = 0.
-1, 1
Let n(v) be the first derivative of 12*v**5/5 - 45*v**4/4 + 12*v**3 + 6*v**2 + 36. Factor n(h).
3*h*(h - 2)**2*(4*h + 1)
Let u(l) be the first derivative of -1/12*l**3 + 1/8*l**2 + 1/2*l - 4. What is v in u(v) = 0?
-1, 2
Factor -18*v**2 + 2*v**3 + 1 + 0 + 6*v + 3 + 6*v**4 + 0.
2*(v - 1)**2*(v + 2)*(3*v + 1)
Let a = -39 + 39. Let n(m) be the second derivative of -1/36*m**4 + 0 + 2*m - 1/30*m**6 + 1/15*m**5 + a*m**3 + 0*m**2. Factor n(l).
-l**2*(l - 1)*(3*l - 1)/3
Determine r so that -60*r + r**4 + 2*r**4 - 36 - 9*r**2 - 110*r**3 + 128*r**3 = 0.
-6, -1, 2
Factor -2/11*d**5 - 8/11*d**2 - 8/11*d**4 - 2/11*d + 0 - 12/11*d**3.
-2*d*(d + 1)**4/11
Let i(d) be the first derivative of -d**3/6 - d**2/2 - d/2 - 7. Factor i(q).
-(q + 1)**2/2
Let w(n) be the first derivative of -1/5*n**2 - 3 + n - 1/60*n**4 - 1/10*n**3. Let b(m) be the first derivative of w(m). Factor b(g).
-(g + 1)*(g + 2)/5
Suppose 6*q = q + 5*t + 20, q + 2 = -5*t. Let o be (q/(-14))/((-21)/28). What is g in -2/7 - 4/7*g + 0*g**2 + 4/7*g**3 + o*g**4 = 0?
-1, 1
Let b(u) = -u - 5. Let t be b(10). Let h(v) = v**2 + 16*v + 18. Let o be h(t). Factor 9/2*w**3 + 4 + o*w**2 - 10*w.
(w + 2)*(3*w - 2)**2/2
Let u(i) = -5*i**2 + 2*i - 9. Let f(z) be the third derivative of z**5/15 - z**4/8 + 3*z**3/2 - z**2. Let q(x) = 4*f(x) + 3*u(x). Factor q(v).
(v - 3)**2
Find x such that -1/5*x**4 + 3/5 - 2/5*x**2 - 4/5*x**3 + 4/5*x = 0.
-3, -1, 1
Suppose -12*t + 11*t + 1 = 0. Let k(p) be the first derivative of -1/12*p**3 - t - p + 1/2*p**2. Let k(u) = 0. What is u?
2
Let v(s) = s**3 + 4*s**2 - s - 2. Let b be v(-4). Let 2