4 + 0*p**3 + 0*p**2 + 0 - 1/20*p**5. Factor o(x).
-x**2*(x - 2)
Let a(k) = -2*k**3 - 5*k**2 + 2*k - 13. Let g(d) = -d**2 - 1. Let y = -2 + 4. Let l(v) = y*a(v) - 18*g(v). Solve l(i) = 0 for i.
-1, 1, 2
Let x be (-12)/(-28) - 11/(-7). Suppose x*o = o. Solve -1/2*l - 2*l**4 - l**2 + 7/2*l**3 + o = 0.
-1/4, 0, 1
Let w(b) be the third derivative of -b**8/1008 + b**7/315 + b**6/120 + 31*b**2. What is p in w(p) = 0?
-1, 0, 3
Let x be -3 + (-6 - 351/(-36)). Factor 1/4*f**3 - x - 5/4*f**2 + 7/4*f.
(f - 3)*(f - 1)**2/4
Factor 4/7*x**4 + 32/7 - 16/7*x - 24/7*x**2 + 4/7*x**3.
4*(x - 2)*(x - 1)*(x + 2)**2/7
Let d(p) = -p**3 - 7*p**2 + 9*p + 2. Let j be d(-8). Let z = j - -9. Suppose 0 - 5/4*m**2 - m**z - 1/4*m = 0. What is m?
-1, -1/4, 0
Let m(z) be the second derivative of z**6/30 + 7*z**5/20 + 3*z**4/2 + 10*z**3/3 + 4*z**2 - 19*z. Solve m(j) = 0 for j.
-2, -1
Suppose 0 = -5*a + 2*a. Let h(v) be the second derivative of 2/5*v**2 + 2/5*v**4 + 2*v + a - 3/5*v**3 - 1/10*v**5. Factor h(u).
-2*(u - 1)**2*(5*u - 2)/5
Let m be 14/2 - (-95)/(-15). Factor -m*d**2 + 8/9*d - 2/9.
-2*(d - 1)*(3*d - 1)/9
Let i(x) = -x - 1. Suppose 20 = -5*o + o. Let n be i(o). Factor -n*v**3 + 2*v**2 + 0*v**2 - 3*v**3.
-v**2*(7*v - 2)
Let t(g) = -4*g - 2. Let m be t(-2). Let q be -2 + 1 - (-9)/m. Factor -1/2*s**2 - q*s + 0.
-s*(s + 1)/2
Suppose -q - 7 = -3*p, -2*q = 2*q - 5*p + 21. Let t be 2 + (q - 8/(-3)). What is m in 0 + 2/3*m**4 - 2/3*m**3 - 2/3*m**2 + t*m = 0?
-1, 0, 1
Suppose -6*x**3 + 0 + 3*x**4 + 2 - 3 - 2 + 6*x = 0. Calculate x.
-1, 1
Let c be 0*((-1)/2 + 0). Let p be (-9)/81*(-3 + 1). Factor -p*f**2 + 2/9*f + c.
-2*f*(f - 1)/9
Let s be 1070/50 + (-2)/5. Let u = s + -16. Factor 2/9*g**4 + 0*g - 2/9*g**2 - 2/9*g**3 + 0 + 2/9*g**u.
2*g**2*(g - 1)*(g + 1)**2/9
Let t be 4/6 + (-8)/(-6). Suppose 0*u**2 - 5*u + 2 - t*u**2 + 3*u**3 + 0*u**2 - 2*u**2 = 0. What is u?
-1, 1/3, 2
Determine j, given that 5/2*j**2 - 9/2 + 3/2*j + 1/2*j**3 = 0.
-3, 1
Let a(n) be the second derivative of n**7/147 - 4*n**6/105 + n**5/14 - n**4/21 - 14*n. Suppose a(h) = 0. Calculate h.
0, 1, 2
Let v(d) be the second derivative of 0 + 0*d**4 + 2/27*d**3 - 9*d - 1/45*d**5 - 1/135*d**6 + 1/9*d**2. Factor v(t).
-2*(t - 1)*(t + 1)**3/9
Find u such that 337*u**2 - 60*u**3 + 343*u**2 + 35*u**4 - 700*u**2 = 0.
-2/7, 0, 2
Let p(j) = 15*j**2 + 15*j + 9. Let z(f) = 7*f**2 + 7*f + 4. Let g = 8 + -21. Let s(d) = g*z(d) + 6*p(d). What is m in s(m) = 0?
-2, 1
Let x = 567/4 + -141. Solve 5/4*k - 1/4 - 7/4*k**2 + x*k**3 = 0.
1/3, 1
Let n(u) be the second derivative of u**6/60 - u**4/12 + u**2/2 + 5*u. Let o(f) be the first derivative of n(f). Factor o(k).
2*k*(k - 1)*(k + 1)
Let n(y) = -y**3 + 4*y**2 + 7*y - 19. Let o be n(2). Factor -2/5*l**5 + 8/5*l**4 + 4/5*l**2 - 2*l**o + 0*l + 0.
-2*l**2*(l - 2)*(l - 1)**2/5
Suppose 0*j - j = -16. Suppose -4*u = 2*y - j, 18 = 5*u + 2*y - 0*y. Solve -c + 0*c**3 - c**u - c**4 + c**3 + 2*c**2 = 0 for c.
-1, 0, 1
Let g(n) be the third derivative of 0*n**5 + 0*n**3 + 0 + 0*n**7 + 1/168*n**8 + 0*n**6 - n**2 + 0*n**4 + 0*n. Factor g(i).
2*i**5
Solve -8*h**4 + 5*h - h**3 + 1 - 2*h**5 - 4*h**5 + 7*h**2 + h**5 + h**5 = 0 for h.
-1, -1/2, 1
Let f(b) be the third derivative of -b**9/20160 + b**7/1680 + b**5/15 + 2*b**2. Let k(j) be the third derivative of f(j). Solve k(a) = 0.
-1, 0, 1
Suppose 0*g - 8 = 2*g. Let w = 9 + g. What is n in -2*n**4 + 1/3*n - 3*n**w + 2*n**2 + 8/3*n**3 + 0 = 0?
-1, -1/3, 0, 1
Let k(m) be the second derivative of m**10/105840 - m**8/7840 - m**7/4410 - m**4/6 + 9*m. Let j(y) be the third derivative of k(y). Find d, given that j(d) = 0.
-1, 0, 2
Let j(y) be the first derivative of -5*y**6/6 + 3*y**5 - 5*y**4/2 - 10*y**3/3 + 15*y**2/2 - 5*y + 20. Factor j(f).
-5*(f - 1)**4*(f + 1)
Let k be (2/(-12))/(19/(-152)). Let o(y) be the first derivative of 1/9*y**3 + k*y - 2/3*y**2 + 4. Solve o(x) = 0 for x.
2
Let k(s) be the second derivative of s**6/75 + s**5/25 - 2*s**3/15 - s**2/5 + 13*s. Factor k(a).
2*(a - 1)*(a + 1)**3/5
Let s(x) = 17*x + 17. Let z be s(-1). Factor 0*j + 1/2*j**2 - 1/4*j**4 + 1/4*j**3 + z.
-j**2*(j - 2)*(j + 1)/4
Let j(t) be the first derivative of -t**4/18 - 8*t**3/27 + 13. Factor j(r).
-2*r**2*(r + 4)/9
What is o in 0 - o**2 - 2/3*o**3 + 0*o + 1/3*o**4 = 0?
-1, 0, 3
Let k be (1 + -3)*(-15 - -14). Let q(t) be the first derivative of 0*t**k + 0*t - 1/10*t**4 + 3 - 2/15*t**3. Factor q(m).
-2*m**2*(m + 1)/5
What is a in 1/5*a**5 + 2/5*a**3 + 3/5*a**4 + 0 + 0*a**2 + 0*a = 0?
-2, -1, 0
Suppose 0*k - 3*k = o + 10, -2*k - 8 = 0. Suppose -4*w = 4*b, -o*w = -w + 5*b. Let 3/4*n**2 + 3/2*n + w = 0. What is n?
-2, 0
Suppose s = m + 5, -m + 29 - 9 = 4*s. Find j, given that 1/4*j**3 - 1/2*j + m + 1/4*j**2 = 0.
-2, 0, 1
Suppose -l + 4 = 2. Let r be (l/7)/((-20)/(-28)). Factor -4/5 + 6/5*c - r*c**2.
-2*(c - 2)*(c - 1)/5
Suppose z - 3 = -2*x, -2*z = 3*z + x - 15. Let b(f) be the first derivative of f + 1/4*f**4 + f**3 + 3/2*f**2 + z. Factor b(g).
(g + 1)**3
Let c = 218/45 + -40/9. Let k = 23/2 - 107/10. What is h in c + 0*h**3 + 2/5*h**4 - k*h**2 + 0*h = 0?
-1, 1
Suppose -25 = -0*x - 5*x + 4*g, 20 = 4*x + 5*g. Let v(i) be the second derivative of 0*i**2 - 1/3*i**3 + i - 1/10*i**x + 0 - 1/3*i**4. Let v(d) = 0. What is d?
-1, 0
Suppose m - 3 = 2. Let c(o) be the third derivative of 1/12*o**3 + 0 - 1/15*o**m + 0*o + o**2 - 1/24*o**4. Factor c(n).
-(2*n + 1)*(4*n - 1)/2
Suppose 2*d = -4 + 14. Let a(l) be the second derivative of -1/135*l**6 + 0*l**2 - 1/54*l**4 + 2*l + 0*l**3 + 1/45*l**d + 0. Suppose a(r) = 0. Calculate r.
0, 1
Let r(n) be the first derivative of -n**5/10 + 3*n**4/4 - 13*n**3/6 + 3*n**2 - 2*n + 1. Suppose r(p) = 0. What is p?
1, 2
Suppose 6*r = 2*r. Suppose r*t + 20 = 4*t. Factor -u**3 + u + t*u**2 - 5*u**2.
-u*(u - 1)*(u + 1)
Let z = 85 - 83. Let 2/7*b**4 + 0*b**z + 2/7*b**3 + 0 + 0*b = 0. What is b?
-1, 0
Let k(i) be the first derivative of 27*i**5/5 - 45*i**4/4 + 7*i**3 - 3*i**2/2 + 1. Find d such that k(d) = 0.
0, 1/3, 1
Let l(z) be the second derivative of z**5/30 + z. Factor l(t).
2*t**3/3
Suppose -15*j - 31*j + 5*j**2 - 75 - 24*j = 0. What is j?
-1, 15
Let c(t) be the third derivative of 0*t - 4*t**2 + 0 + 0*t**5 + 1/420*t**6 + 2/21*t**3 - 1/28*t**4. Factor c(f).
2*(f - 1)**2*(f + 2)/7
Let l(p) be the third derivative of -7/60*p**6 - 1/15*p**5 - 1/14*p**7 + 0*p - 3/224*p**8 + 0*p**4 + 0*p**3 + 0 - 2*p**2. Let l(g) = 0. What is g?
-2, -2/3, 0
Let h(b) be the first derivative of -3 - 2/5*b**2 + 2/15*b**3 + 2/5*b. Factor h(o).
2*(o - 1)**2/5
Let b(w) be the second derivative of -1/7*w**2 - 1/70*w**5 + 0 - 2*w + 1/21*w**3 + 1/42*w**4. Suppose b(a) = 0. Calculate a.
-1, 1
Let t(z) be the third derivative of 0 + 1/8*z**4 + 0*z - 1/112*z**8 + 0*z**3 + 4*z**2 - 1/35*z**7 + 0*z**6 + 1/10*z**5. Find g such that t(g) = 0.
-1, 0, 1
Solve 3/4*w**4 + 0*w**2 - 3/4*w**5 + 0*w**3 + 0*w + 0 = 0.
0, 1
Let c(t) be the second derivative of -t**4/18 - 8*t**3/9 - 16*t**2/3 - 6*t. Factor c(k).
-2*(k + 4)**2/3
Let v = 5132/27 - 190. Let a(k) be the third derivative of -1/36*k**4 + 0 + v*k**3 + 0*k - 2*k**2 + 1/270*k**5. Suppose a(d) = 0. What is d?
1, 2
Let k(j) be the second derivative of -j**4/30 - j**3/15 + 8*j. Factor k(q).
-2*q*(q + 1)/5
Let f = 67/35 - 12/7. Determine s, given that -1/5 - 2/5*s - f*s**2 = 0.
-1
Let m = 82 + -242/3. Suppose 4*z - 7 = 1. Determine r so that -4/3*r**3 + 1/3 + 1/3*r**4 + 2*r**z - m*r = 0.
1
Suppose -4*y + 3 = 5*w, 4*y + w = 6 + 1. Suppose -4*f = y - 10. Solve 1 + d**2 - 4*d**2 + f*d**2 = 0.
-1, 1
Let k = -680 - -34001/50. Let f(x) be the second derivative of 0*x**2 - k*x**5 + 0 + 1/30*x**3 + 0*x**4 + 0*x**6 + 1/210*x**7 + 4*x. Factor f(p).
p*(p - 1)**2*(p + 1)**2/5
Find q such that -1/5*q**2 + 0 + 1/5*q = 0.
0, 1
Let h(s) be the first derivative of s**3/4 - 3*s**2/8 - 3*s/2 + 5. Let h(a) = 0. What is a?
-1, 2
Let p(t) be the third derivative of t**8/294 - 2*t**7/147 + 2*t**6/105 - t**5/105 - 40*t**2. Factor p(a).
4*a**2*(a - 1)**2*(2*a - 1)/7
Let x = 0 + 0. Let z = -41 - -207/5. Factor 2/5*h**5 + z*h**2 - 2/5*h**3 + 0*h + x - 2/5*h**4.
2*h**2*(h - 1)**2*(h + 1)/5
Let t(d) be the third derivative of d**8/1680 - d**6/300 + d**4/120 + 20*d**2. Factor t(r).
r*(r - 1)**2*(r + 1)**2/5
Let c(g) = -4*g**3 - 2*g**2 + 2*g - 2. Let q(k) = -9*k**3 - 4