*w - 6/5*w**3 - 2/5*w**2 = 0.
-1, 0
Let f(u) = -u**3 - u**2 + u + 1. Let c(w) = -10*w**3 - 10*w**2 + 10*w + 10. Let l(a) = c(a) - 8*f(a). Factor l(y).
-2*(y - 1)*(y + 1)**2
Let o(z) be the third derivative of 0*z**4 - 1/6*z**3 - 1/180*z**5 + 0 + 1/540*z**6 + z**2 + 0*z. Let i(d) be the first derivative of o(d). Factor i(a).
2*a*(a - 1)/3
Let b(j) be the second derivative of j**7/630 - j**6/90 + j**4/3 + 7*j. Let q(k) be the third derivative of b(k). Find p such that q(p) = 0.
0, 2
Let b(g) = -g + 1. Let r = 15 + -21. Let o be b(r). Factor -2 + o*c - 5*c**2 - c**2 + c**2.
-(c - 1)*(5*c - 2)
Let z = 14 + -124/9. Factor z*v**2 + 0*v + 0.
2*v**2/9
Let o(w) = w**3 - w**2 - 7*w - 5. Let c(h) = -3*h + 2*h**2 + 8*h + 11 - 3*h**3 + h**3 + 10*h. Let z(d) = 6*c(d) + 13*o(d). Factor z(m).
(m - 1)**2*(m + 1)
Let g(j) be the first derivative of -21*j**5/5 - 9*j**4 + 4*j**3 + 9. Factor g(f).
-3*f**2*(f + 2)*(7*f - 2)
Let z(s) be the second derivative of s**4/78 - 4*s**3/39 - 17*s. Factor z(i).
2*i*(i - 4)/13
Let u(s) be the first derivative of -s**3 + 9/2*s**2 - 6 - 6*s. Factor u(q).
-3*(q - 2)*(q - 1)
Suppose 0 + 0*p - 3/4*p**2 = 0. What is p?
0
Let f be 2/((-6)/2 + 4). Let b(t) be the first derivative of 1/12*t**6 + 5/4*t**4 + 5/4*t**f + 5/3*t**3 + 2 + 1/2*t + 1/2*t**5. Factor b(x).
(x + 1)**5/2
Let q(j) be the third derivative of -j**5/180 + j**4/36 + j**3/6 + j**2. Factor q(x).
-(x - 3)*(x + 1)/3
Suppose 196 = -3*r + 202. Determine h so that 1/4*h**r - 1/4*h**3 + 0*h + 0 = 0.
0, 1
Let 0*a + 1/5 - 1/5*a**2 = 0. What is a?
-1, 1
Let w(t) = 2*t - 4. Let u be w(3). Let f be (-170)/(-175) - u/5. Factor 22/7*a - f - 4*a**2.
-2*(2*a - 1)*(7*a - 2)/7
Let v(q) = q**2 + 8*q + 8. Let k be v(-7). Factor -k - j**2 - 1 - 2*j + 2.
-j*(j + 2)
Let u(t) = -3*t - 2*t + 13 + 6*t. Let a be u(-13). Suppose -2/7 + 2/7*c**2 + a*c = 0. What is c?
-1, 1
Let h be (-12)/(-28)*2/6. Let x(o) be the first derivative of 2 + 1/7*o**2 - 2/35*o**5 - h*o**4 - 2/7*o + 1/21*o**6 + 4/21*o**3. Suppose x(n) = 0. Calculate n.
-1, 1
Let w(s) be the second derivative of s**5/35 + 2*s**4/21 - 10*s**3/7 - 72*s**2/7 + 2*s - 25. Determine c so that w(c) = 0.
-3, 4
Factor -3/2 - 3/4*d + 3/4*d**2.
3*(d - 2)*(d + 1)/4
Let s(f) be the third derivative of f**8/40320 - f**7/15120 - f**6/2160 - f**4/12 - 2*f**2. Let g(y) be the second derivative of s(y). Factor g(j).
j*(j - 2)*(j + 1)/6
Let w(c) be the third derivative of c**7/84 + c**6/16 - 3*c**5/8 + 25*c**4/48 + 6*c**2. Factor w(q).
5*q*(q - 1)**2*(q + 5)/2
Let f(z) be the second derivative of -z**7/216 + z**6/90 - z**5/90 - z**4/4 + 2*z. Let a(w) be the third derivative of f(w). Let a(o) = 0. What is o?
2/7, 2/5
Let q(r) = r**3 - 12*r**2 - 13*r - 8. Let b be q(13). Let w = -23/3 - b. Factor -1/3*u**2 - w + 2/3*u.
-(u - 1)**2/3
Let n(z) = -10*z**4 + 55*z**3 - 135*z**2 + 90*z + 55. Let f(a) = a**4 - 6*a**3 + 15*a**2 - 10*a - 6. Let o(l) = 55*f(l) + 6*n(l). Determine v so that o(v) = 0.
-2, 0, 1
Let z = 129/5 + -127/5. Factor 6/5*v**2 + 8/5*v + z.
2*(v + 1)*(3*v + 1)/5
Factor 3*h**2 - 7*h**2 + 2*h**2 - 8*h - 2*h**2.
-4*h*(h + 2)
Let r(d) be the second derivative of -4*d**6/75 - 4*d**5/75 - d**4/60 - d**2/2 + 4*d. Let x(j) be the first derivative of r(j). Solve x(p) = 0.
-1/4, 0
Let m(p) be the third derivative of -p**7/140 + p**6/30 + p**5/15 - 2*p**4/3 + 4*p**3/3 + 15*p**2. Suppose m(o) = 0. What is o?
-2, 2/3, 2
Factor -6*n**2 - 64*n**3 + 20*n - 12 + 2*n**2 + 60*n**3.
-4*(n - 1)**2*(n + 3)
Let l(t) be the second derivative of 2/15*t**4 - 2/75*t**6 + 3/50*t**5 + 3*t - 1/105*t**7 + 0 + 0*t**2 - 4/15*t**3. Let l(d) = 0. Calculate d.
-2, 0, 1
Let x = 11 + -2. Suppose -5*q + x*q = 16. Factor 5/3*k - 1/3 - 5/3*k**q - 10/3*k**2 + 10/3*k**3 + 1/3*k**5.
(k - 1)**5/3
Let x = 324/2093 + -2/2093. Let 2/13*q**3 + 0*q**2 + 0 - x*q = 0. What is q?
-1, 0, 1
Let a(k) = 2*k + 25. Let t be a(-10). Let f(l) be the second derivative of 1/21*l**7 + 0*l**6 + 0*l**2 - 1/10*l**t + 0*l**3 + 0*l**4 + 0 + 3*l. Factor f(q).
2*q**3*(q - 1)*(q + 1)
What is s in 0 + 0*s**2 + 0*s - 1/2*s**4 + 1/2*s**3 = 0?
0, 1
Let k = 22 + -22. Let a(u) be the third derivative of 4/15*u**3 - 1/15*u**4 - 1/50*u**5 + 0 + 3*u**2 + k*u. Factor a(m).
-2*(m + 2)*(3*m - 2)/5
Let t = 460891/270 + -1707. Let v(l) be the third derivative of 0 + 0*l + t*l**5 + 1/54*l**4 + 0*l**3 - l**2. Solve v(o) = 0 for o.
-2, 0
Let r(g) = g**4 + 3*g**3 - 23*g**2 + 13*g + 8. Let k(n) = -4*n**3 + 24*n**2 - 14*n - 9. Let h(x) = -2*k(x) - 3*r(x). Find t such that h(t) = 0.
-3, -1/3, 1, 2
Let x = 14 - 8. Let v = x + -4. Factor -5*b + b + 2*b**v + 2*b.
2*b*(b - 1)
Suppose -3*q + 12 = q. Suppose 4 + 2 = q*o. Factor 2/9*x**5 + 0*x**4 - 2/3*x**3 + 0*x + 0 + 4/9*x**o.
2*x**2*(x - 1)**2*(x + 2)/9
Let -16/5*x + 16/5*x**4 + 12/5*x**3 - 16/5*x**2 + 0 + 4/5*x**5 = 0. What is x?
-2, -1, 0, 1
Let y(v) = -v**2 - 7*v + 10. Let b be y(-8). Suppose -b*s + 3*s = 0. Solve 4/7*f**3 - 2/7*f + 0*f**2 + s - 2/7*f**5 + 0*f**4 = 0.
-1, 0, 1
Let j(r) = 2*r**3 - 10*r**2 - 2*r + 2. Let l(d) = 5*d**3 - 21*d**2 - 5*d + 3. Let c(n) = -9*j(n) + 4*l(n). Find i, given that c(i) = 0.
-3, -1, 1
Determine r so that -3/7*r**2 + 0*r + 3/7 = 0.
-1, 1
What is v in 2/5*v**2 + 0 + 2/5*v**3 + 0*v - 2/5*v**4 - 2/5*v**5 = 0?
-1, 0, 1
Let v(s) be the third derivative of s**8/672 + s**7/210 - s**6/240 - s**5/60 + 5*s**2 - 1. Suppose v(m) = 0. Calculate m.
-2, -1, 0, 1
Let s = -118 - -120. Let r(a) be the third derivative of 1/630*a**7 - 1/9*a**4 + 0 + 0*a - 1/60*a**6 - 4*a**s + 1/15*a**5 + 0*a**3. Factor r(k).
k*(k - 2)**3/3
Let x(n) = -2*n**3 - 7*n**2 + 9. Let t = -8 + 4. Let w(g) = -g**3 - 3*g**2 + 4. Let f(l) = t*x(l) + 9*w(l). Let f(c) = 0. Calculate c.
0, 1
Let k(a) be the second derivative of a**7/126 - a**6/45 - a**5/60 + a**4/18 - 8*a. Factor k(l).
l**2*(l - 2)*(l - 1)*(l + 1)/3
Let j(x) = -2*x - 13. Let v be j(-9). Let d(f) be the third derivative of 7/30*f**v + 0 - 1/4*f**6 + 0*f**3 + 3/35*f**7 + 0*f + 2*f**2 - 1/12*f**4. Factor d(u).
2*u*(u - 1)*(3*u - 1)**2
Let g(s) be the third derivative of s**8/84 - s**6/10 + 2*s**5/15 + 15*s**2. Determine o so that g(o) = 0.
-2, 0, 1
Solve -2/17*s**3 + 0*s - 6/17*s**2 + 0 = 0 for s.
-3, 0
Suppose -3*h + 8 + 7 = 0. Suppose 3 = m - 2*i - 7, h*i + 25 = -m. Factor 11/2*v**3 + m*v + 0 + 8*v**4 + v**2 + 7/2*v**5.
v**2*(v + 1)**2*(7*v + 2)/2
Factor -3/5*r**3 - 12/5*r**2 + 0 + 0*r.
-3*r**2*(r + 4)/5
Let w(l) be the second derivative of 7/50*l**5 + 1/105*l**7 + 1/30*l**4 + 4/5*l**2 - 1/15*l**6 + 3*l + 0 - 8/15*l**3. Solve w(f) = 0.
-1, 1, 2
Let u(g) = g - 23. Let f be u(16). Let a be 1 - (f/(-3) - 4). Factor 0*c + 10/3*c**3 + 2/3*c**2 + a*c**4 + 0.
2*c**2*(c + 1)*(4*c + 1)/3
Let s(q) = 2*q**2 + q - 3. Let t(b) = 2*b**2 - 3*b**2 + 1 + 1 - b. Let o(x) = 4*s(x) + 6*t(x). Find l such that o(l) = 0.
0, 1
Let k = 11 + -4. Let d(a) = 9*a**2 - 8*a + 15. Let h(i) = 4*i**2 - 4*i + 7. Let r(q) = k*h(q) - 3*d(q). Find s such that r(s) = 0.
2
Let a(q) = 7*q**3 - 9*q**2 - 6*q + 10. Let x(d) = -2*d**2 - 7*d + 4 + 5 + 2 - 8*d**2 + 8*d**3. Let w(g) = -7*a(g) + 6*x(g). Factor w(l).
-(l - 2)**2*(l + 1)
Let c(v) = -v - 1. Let t be -2 + 4 - (3 - -2). Let f be c(t). Factor 1/4 - 3/4*j**3 + 3/4*j - 1/4*j**f.
-(j - 1)*(j + 1)*(3*j + 1)/4
Let y be 1 - -1*3*(-3)/(-5). Factor 2*l - 4/5*l**4 - 2/5 + y*l**3 - 18/5*l**2.
-2*(l - 1)**3*(2*l - 1)/5
Let l(a) be the second derivative of a**7/91 - 14*a**6/195 + a**5/5 - 4*a**4/13 + 11*a**3/39 - 2*a**2/13 - 8*a. Factor l(r).
2*(r - 1)**4*(3*r - 2)/13
Let i(x) = -27*x**2 - 80*x - 36. Let o(k) = -2*k**2 - 5*k - 2. Let z be o(-3). Let v(y) = 18*y**2 + 53*y + 24. Let n(g) = z*i(g) - 8*v(g). Factor n(c).
-3*(c + 2)*(3*c + 2)
Let q(m) be the first derivative of m**5/40 - m**4/12 + m**3/12 - m - 3. Let v(z) be the first derivative of q(z). Factor v(a).
a*(a - 1)**2/2
Let n(l) be the first derivative of -3*l**5/110 - l**4/6 - 4*l**3/11 - 4*l**2/11 + 3*l + 3. Let c(o) be the first derivative of n(o). What is r in c(r) = 0?
-2, -1, -2/3
Let u(p) = -p**4 - p**3 + p**2 - p. Let a(b) = 7*b**4 + 8*b**3 - 5*b**2 + 6*b. Let n(z) = -a(z) - 6*u(z). Determine f so that n(f) = 0.
-1, 0
Find h such that 75/4 + 147/4*h**2 + 105/2*h = 0.
-5/7
Let k be 8/(-12) + 40/6. Let j(q) be the first derivative of 0*q**2 + 0*q + 2/15*q**k + 2/15*q**3 - 