4 - 1/350*f**7 + 2*f**2 - 1/300*f**5 + 0*f + 0 + 0*f**3 + 1/1680*f**8 + 1/200*f**q. Factor g(r).
r**2*(r - 1)**3/5
Let p(z) be the second derivative of 3*z - 1/2*z**3 - 1/3*z**2 - 1/12*z**5 + 0 - 1/3*z**4. Factor p(x).
-(x + 1)**2*(5*x + 2)/3
Let j(m) = -m**3 + 10*m**2 + 2*m - 10. Let q be j(10). Suppose q = 2*k + 4. Factor -y**3 - 1/3*y - 5/3*y**2 + 0 + k*y**4.
y*(y - 1)*(3*y + 1)**2/3
Let n = -12/19 - -208/209. Suppose -8/11*v**3 + 0 + 10/11*v**2 + 2/11*v**4 - n*v = 0. Calculate v.
0, 1, 2
Let h(r) = -9*r. Let p be h(1). Let y = p - -13. Factor 0*m**3 - 2*m + 4*m**2 + 6*m**3 + y*m**2 - 4.
2*(m + 1)**2*(3*m - 2)
Let n be -2 + 3/1 + 5. Suppose -n*y = -2*y. Let 0 + 0*h**3 + y*h - 1/2*h**2 + 1/2*h**4 = 0. Calculate h.
-1, 0, 1
Let x(o) be the first derivative of -o**5/150 - o**4/20 + o**2/2 - 5. Let y(m) be the second derivative of x(m). Let y(q) = 0. What is q?
-3, 0
Factor -g + 3*g**2 - 18 + g**3 + 29 - 14.
(g - 1)*(g + 1)*(g + 3)
Let s(u) be the first derivative of 0*u - 22/9*u**3 + 8/3*u**4 - 14/15*u**5 - 4 + 2/3*u**2. Factor s(d).
-2*d*(d - 1)**2*(7*d - 2)/3
Let u(n) be the first derivative of 0*n**2 - 1 + 2/5*n - 2/15*n**3. Solve u(t) = 0 for t.
-1, 1
Suppose 2*j = j + 2. Determine d, given that -12*d**j + 30*d - d**3 - 6*d - 16 + 3*d**3 = 0.
2
Let v(l) be the third derivative of -l**8/1008 + l**7/315 - l**5/90 + l**4/72 - 10*l**2. Suppose v(n) = 0. Calculate n.
-1, 0, 1
Let v = -11 - -13. Factor 5*n**3 - 3 - 9*n**3 + 4*n**v - 1 + 4*n.
-4*(n - 1)**2*(n + 1)
Factor -16/11 - 2/11*k**4 - 36/11*k**2 - 14/11*k**3 - 40/11*k.
-2*(k + 1)*(k + 2)**3/11
Determine b, given that 2/3*b**2 + 2/3*b**4 - 4/3 - 2*b**3 + 2*b = 0.
-1, 1, 2
Let m be 2*(-6)/4 + 43. Let r be 0 + 2 - m/35. Factor 0 + 0*u + 2/7*u**5 + 2/7*u**2 + r*u**4 + 6/7*u**3.
2*u**2*(u + 1)**3/7
Let x be (-44)/(-28) - 3*2/6. Suppose x*m**2 + 0*m + 0 + 2/7*m**3 - 2/7*m**4 = 0. What is m?
-1, 0, 2
Let o(j) be the third derivative of j**5/540 - j**4/36 + j**3/6 - 10*j**2. Factor o(m).
(m - 3)**2/9
Let y = 1 + 1. Let -4*d**4 - y*d**2 + 0*d**3 + d**5 - d + 6*d**4 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let c(l) be the first derivative of l**7/2940 - l**5/140 - l**4/42 - 5*l**3/3 + 6. Let r(i) be the third derivative of c(i). Factor r(m).
2*(m - 2)*(m + 1)**2/7
Factor -5/3*f + 4/3*f**2 + 2/3 - 1/3*f**3.
-(f - 2)*(f - 1)**2/3
Let n(l) = -2*l - 18. Let t be n(-9). Let x(m) be the third derivative of 1/12*m**3 - 3*m**2 + 1/420*m**7 - 1/60*m**5 + 0 + t*m + 0*m**6 + 0*m**4. Factor x(h).
(h - 1)**2*(h + 1)**2/2
Suppose -22 = -g - 4*j, 2*j - 9 = 3*g - 5. Suppose g*z = -k - 3, 3*z + k = -3*k - 12. Factor q - q**2 + z*q**2 - 2*q.
-q*(q + 1)
Let j(o) be the second derivative of o**7/63 - o**6/45 - o**5/30 + o**4/18 - o. Find t, given that j(t) = 0.
-1, 0, 1
Let q(x) be the second derivative of x**4/12 - 5*x**3/6 + 2*x**2 + 35*x. Factor q(p).
(p - 4)*(p - 1)
Let q = 156/5 + -1334/45. Let q*i**2 + 8/9 + 32/9*i = 0. What is i?
-2, -2/7
Let j be (2/6)/(33/12). Let u(t) be the second derivative of 1/66*t**4 + 0 + 4/11*t**2 + t + j*t**3. Factor u(c).
2*(c + 2)**2/11
Let l(j) = 4*j**5 - 11*j**4 + 25*j**3 - 13*j**2 - 5*j. Let m(q) = -12*q**5 + 32*q**4 - 76*q**3 + 40*q**2 + 16*q. Let t(w) = -16*l(w) - 5*m(w). Factor t(y).
-4*y**2*(y - 2)*(y - 1)**2
Let t(x) be the second derivative of -x**4/30 - 16*x**3/15 - 64*x**2/5 - 26*x. Solve t(d) = 0.
-8
Let d(u) be the second derivative of 0*u**3 - 1/8*u**4 + 0*u**5 + 6*u + 0*u**2 + 0 + 1/20*u**6. Find n, given that d(n) = 0.
-1, 0, 1
Let y(o) be the first derivative of -7*o**6/6 + 16*o**5/5 - o**4 + 23. Let y(k) = 0. Calculate k.
0, 2/7, 2
Let k(s) be the third derivative of -s**5/360 + s**4/36 - s**3/9 + 42*s**2. What is f in k(f) = 0?
2
Let m(y) be the third derivative of -y**6/360 - y**5/90 + y**4/18 - 5*y**3/6 + 6*y**2. Let w(i) be the first derivative of m(i). Factor w(l).
-(l + 2)*(3*l - 2)/3
Let n = -5 - -7. Factor 18 + 2*p**n - 9*p - 2*p - p.
2*(p - 3)**2
Determine q, given that -124*q**2 + 3*q**4 - q**4 - 2*q**3 + 120*q**2 + 0*q**4 = 0.
-1, 0, 2
Let a(d) = -d**2 + 7*d + 4. Let v(c) = -c**2 + 6*c + 3. Let x(b) = -4*a(b) + 5*v(b). Factor x(k).
-(k - 1)**2
Let l(z) be the first derivative of z**6/600 + z**5/200 - 5*z**3/3 + 4. Let h(j) be the third derivative of l(j). Factor h(d).
3*d*(d + 1)/5
Let b(y) be the third derivative of -y**8/1512 - y**7/945 + y**6/540 + y**5/270 + 10*y**2. Factor b(w).
-2*w**2*(w - 1)*(w + 1)**2/9
Let p be -6*3/12*-36. Factor -6*z - p*z**3 + z - 2 - 4*z**2 + 53*z**3.
-(z + 1)**2*(z + 2)
Factor 8*p**2 + 4/3*p**4 - 8/3*p + 0 - 6*p**3.
2*p*(p - 2)**2*(2*p - 1)/3
Let m(h) be the third derivative of h**7/840 - h**6/240 - h**5/80 + h**4/24 + h**3/6 - 6*h**2. Factor m(q).
(q - 2)**2*(q + 1)**2/4
Let d(z) = z - 11. Let k(u) = -u + 10. Let r(p) = -3*d(p) - 4*k(p). Let q be r(7). Solve 0*s**2 - 1/4*s**3 + 1/4*s + q = 0 for s.
-1, 0, 1
Let k = -25 + 24. Let f be (k - (-28)/20)*1. Factor -8/5 - f*y**2 + 8/5*y.
-2*(y - 2)**2/5
Let v(r) = r**2 + 4*r - 8. Let m be v(-6). Suppose -5*a + 3*a + 10*a**m - 5*a + 14*a**3 - a - 16*a**2 = 0. What is a?
-2, -2/5, 0, 1
Suppose 3*t**3 - 2*t + t - t**4 - t**3 - 3*t**2 - 5*t**3 = 0. Calculate t.
-1, 0
Let s(r) = 9*r**2 - r + 15. Let i(c) = -5*c**2 - 8. Let m(d) = d**2 + d. Let n be m(-5). Suppose 3*g = 8*g - n. Let x(b) = g*s(b) + 7*i(b). Factor x(o).
(o - 2)**2
Let p(n) be the second derivative of n**8/23520 + n**7/2940 + n**6/1260 - 5*n**4/12 + 3*n. Let k(d) be the third derivative of p(d). Factor k(y).
2*y*(y + 1)*(y + 2)/7
Let o be 1 - (9 - 1)*9/(-18). Factor -56/5*q**2 - 10*q**o - 8/5*q + 0 - 28*q**4 - 138/5*q**3.
-2*q*(q + 1)**2*(5*q + 2)**2/5
Let 7*r**2 + r**3 + 11*r**2 - 17*r**2 = 0. What is r?
-1, 0
Let o(f) be the first derivative of -f**4/28 - 2. Factor o(w).
-w**3/7
Suppose -2*z = -6*z + 28. Find a such that 3*a**4 - 3*a**5 + 5*a**3 - 3*a**2 - 2*a**3 + 7 - z = 0.
-1, 0, 1
Let j be (-5)/20*(-12)/9*1. Let z = 1/21 - -2/7. Find g such that -g**3 - j + z*g**2 + g = 0.
-1, 1/3, 1
Let l be (-6)/(-40) - (-2)/8. Suppose -18 = 3*o - 24. Factor -2/5*j + l - 2/5*j**o + 2/5*j**3.
2*(j - 1)**2*(j + 1)/5
Factor 3/8*a**3 + 3/2 + 15/8*a**2 + 3*a.
3*(a + 1)*(a + 2)**2/8
Let x(c) = c + 1. Let u be x(7). Suppose -u + 2 = -3*r. Find s, given that 0 + 2/7*s**3 + 0*s - 2/7*s**r = 0.
0, 1
Factor -5 - 32*w - 6*w**2 - 10 - 1 - 6*w**2 + 4*w**4 + 8*w**3.
4*(w - 2)*(w + 1)**2*(w + 2)
Let u(a) be the first derivative of a**8/140 - a**7/56 - a**6/40 + a**5/8 - a**4/8 + 2*a**3/3 + 2. Let k(c) be the third derivative of u(c). Factor k(s).
3*(s - 1)**2*(s + 1)*(4*s - 1)
Suppose -3*v**2 - 2*v**3 - 5*v**2 - v - 4 - 9*v = 0. What is v?
-2, -1
Let k be -6 + (-5 - (-290)/26). What is l in 2/13*l**3 - 2/13*l - k + 2/13*l**2 = 0?
-1, 1
Suppose 3*p - p = 3*l - 7, 0 = 4*l + 3*p + 2. Factor -c + l + 1 + c**2 - 6*c + 4*c.
(c - 2)*(c - 1)
Let f(d) be the second derivative of d**9/98280 + d**8/14560 + d**7/5460 + d**6/4680 - 5*d**4/12 - 9*d. Let i(w) be the third derivative of f(w). Factor i(t).
2*t*(t + 1)**3/13
Let m(i) be the third derivative of i**7/210 - i**6/40 + i**5/60 + i**4/8 - i**3/3 - 32*i**2. Factor m(b).
(b - 2)*(b - 1)**2*(b + 1)
Let z(o) be the second derivative of -o**6/6 - 3*o**5/4 - 5*o**4/6 + 8*o. Factor z(q).
-5*q**2*(q + 1)*(q + 2)
Let f = 255 - 253. Factor 3/2*g**f + 6*g + 6.
3*(g + 2)**2/2
Let z(a) be the second derivative of -a**6/420 + a**4/28 + 2*a**3/21 - a**2/2 - a. Let r(b) be the first derivative of z(b). Factor r(w).
-2*(w - 2)*(w + 1)**2/7
Let y = -554 - -557. Let -2/7 - 24/7*p**y - 18/7*p**4 + 8/7*p + 4/7*p**2 = 0. What is p?
-1, 1/3
Let p be ((-4)/14)/(-1) - 18/63. Let 2/5*k + p*k**3 + 0 - 2/5*k**5 - 4/5*k**2 + 4/5*k**4 = 0. What is k?
-1, 0, 1
Let u(a) = -4*a**2 - 20*a. Let p(j) = j - 1. Let t(q) = -8*p(q) - u(q). What is h in t(h) = 0?
-2, -1
Let f(d) be the second derivative of d**7/4620 - d**6/990 - d**5/165 + d**4/3 - d. Let o(c) be the third derivative of f(c). Factor o(x).
2*(x - 2)*(3*x + 2)/11
Suppose -5*i - t + 19 = t, i + 5 = 4*t. Let d = 0 + i. What is k in 2*k**4 + 6*k**5 - 27 + 27 - 2*k**2 - 6*k**d = 0?
-1, -1/3, 0, 1
Let f(b) = 4 + 10 - 3 + b. Let l be f(-9). Factor 2*o**3 - 3*o**3 + 2*o**3 - o**l.
o**2*(o - 1)
Let r(u) = -4*u**2 + u + 2. Let q(d) = -3*d**2 + d + 2. Let y = -7 - -5. Let n(t) = y*r(t) 