**3 + 0*j - 4/5*j**2 + 0.
-2*j**2*(7*j + 2)/5
Let x = 2/3337 + 33352/30033. Let f = -198 - -200. Solve x*i - 2/3*i**f - 4/9 = 0 for i.
2/3, 1
Suppose 4 = m + 4*m + 4*q, 4*q + 8 = -2*m. Let u = 13 + -9. What is x in x**2 + u*x**2 - 4*x**3 + 4*x + 0 - 3*x**2 + 1 - 3*x**m = 0?
-1, -1/3, 1
Factor -4/5*f - 12/5*f**3 - 4/5*f**4 - 12/5*f**2 + 0.
-4*f*(f + 1)**3/5
Let n(h) be the third derivative of 0*h**3 + 0*h + 3*h**2 + 0*h**4 + 0 + 1/30*h**5. Factor n(v).
2*v**2
Factor -6*s + 7*s**2 + 4 + 1 - 7 + s.
(s - 1)*(7*s + 2)
Suppose 18 + 3 = 3*d. Suppose a + d = -3*h, -a = -3*a + 2*h + 10. Find o, given that 6*o**5 + o**3 - 2*o**5 - 3*o**5 - a*o**4 = 0.
0, 1
Suppose -4*j = -3*j + 54. Let w be (j/(-90))/((-18)/(-20)). Factor -2/3*d + 0 - w*d**2.
-2*d*(d + 1)/3
Suppose 10*m - 21 + 1 = 0. Let n(t) be the third derivative of 2/3*t**3 + 0*t**4 - 2*t**m - 1/20*t**5 + 0 + 0*t - 1/120*t**6. Let n(c) = 0. Calculate c.
-2, 1
Find p such that -29*p**5 + 7*p**5 + 10*p**2 + 123*p**4 + 2*p**2 - 41*p**5 - 72*p**3 = 0.
0, 2/7, 2/3, 1
Let c(g) be the first derivative of 0*g + 0*g**2 - 2/3*g**3 - 3 + 1/2*g**4. Factor c(u).
2*u**2*(u - 1)
Let f(z) be the second derivative of z + 0*z**2 + 0 - 1/30*z**6 + 0*z**3 + 1/12*z**4 + 0*z**5. Factor f(c).
-c**2*(c - 1)*(c + 1)
Let x be (3/6)/((-1)/(-4)). What is d in -d - d**3 - 7*d**2 + 0*d**2 + d**2 + 4*d**x = 0?
-1, 0
Let i be ((40/45)/4)/2. Let j(c) be the first derivative of 3 + 0*c**2 + 0*c + i*c**3. Determine m, given that j(m) = 0.
0
Let j(g) be the first derivative of g**4/6 + 4*g**3/3 + 3*g**2 + 8*g/3 + 1. Factor j(m).
2*(m + 1)**2*(m + 4)/3
Let l(n) be the second derivative of n**5/25 + n**4/5 + 2*n**3/5 + 2*n**2/5 - 17*n. Determine p, given that l(p) = 0.
-1
Let f be ((-3)/(-36))/(3/6). Let b(j) be the second derivative of -j + 0*j**2 + 2/3*j**3 + 0 + f*j**4. Factor b(t).
2*t*(t + 2)
Let w = -66 + 68. Find i such that -1/2 - 1/2*i**w + i = 0.
1
Let z(n) be the third derivative of n**8/1344 + n**7/840 - n**6/160 - n**5/48 - n**4/48 - n**2 - 3*n. Factor z(s).
s*(s - 2)*(s + 1)**3/4
Let c(d) be the third derivative of d**6/1980 + d**5/220 + d**4/66 - 2*d**3/3 + d**2. Let s(a) be the first derivative of c(a). Let s(z) = 0. Calculate z.
-2, -1
Let j(r) = 3*r**3 + 5*r**2 - 4*r + 3 - 2*r - 2*r**3. Let a be j(-6). Factor -4*b**5 + 2*b**2 + 3*b**4 - b**2 + 3*b**5 - 3*b**a.
-b**2*(b - 1)**3
Let b(q) be the second derivative of 0*q**2 + 0 - 1/18*q**4 - 2/9*q**3 + 1/30*q**5 - 2*q. Factor b(z).
2*z*(z - 2)*(z + 1)/3
Factor 80 + x**2 + 6 - 5 + 18*x.
(x + 9)**2
Let b(h) be the third derivative of h**6/840 + h**5/420 - 9*h**2. Factor b(d).
d**2*(d + 1)/7
Let n(u) be the first derivative of -u**7/1680 - u**6/720 + u**5/240 + u**4/48 - u**3 + 3. Let x(z) be the third derivative of n(z). Factor x(l).
-(l - 1)*(l + 1)**2/2
Suppose -f - 4*f - 45 = 0. Let i(h) = 3*h**2 - h. Let p(t) = 6*t**2 - 3*t. Let k(a) = f*i(a) + 4*p(a). Determine g, given that k(g) = 0.
-1, 0
Let c(g) = g**2 - 3*g + 4. Let w be c(3). Let q(u) = u**2 - 11*u + 4. Let b be q(11). Solve 0*y**w + y**b + 0*y**4 = 0.
0
Let g(w) = w**3 - 7*w**2 - 18*w. Let d be g(9). Let k(y) be the first derivative of d*y**2 - 4/3*y**3 + 3 - 6/5*y**5 + 0*y + 7/2*y**4. Factor k(m).
-2*m**2*(m - 2)*(3*m - 1)
Let z(c) be the third derivative of -c**7/75 - c**6/25 - c**5/50 + c**4/30 + 14*c**2. Factor z(x).
-2*x*(x + 1)**2*(7*x - 2)/5
Let m(v) be the second derivative of -v**4/90 + v**3/45 - v. Solve m(w) = 0 for w.
0, 1
Let b(w) be the third derivative of -w**8/1260 + w**7/420 - w**5/180 - w**3/6 + 3*w**2. Let r(d) be the first derivative of b(d). Factor r(f).
-2*f*(f - 1)**2*(2*f + 1)/3
Let w(j) be the second derivative of j**7/105 - 2*j**6/75 + j**5/50 + 6*j. Factor w(z).
2*z**3*(z - 1)**2/5
Let p be (-4)/(-6) + 62/(-96). Let o(b) be the second derivative of 0 + 1/80*b**5 + 2*b - p*b**4 - 1/24*b**3 + 1/8*b**2. Factor o(a).
(a - 1)**2*(a + 1)/4
Determine x so that -2/3*x**4 + 0 + 8/3*x**5 + 0*x + 0*x**2 + 0*x**3 = 0.
0, 1/4
Factor 4 - 6*m + 0*m**2 - 4 + 15*m**2.
3*m*(5*m - 2)
Let k = -5249/30 + 175. Let j(s) be the second derivative of -1/15*s**3 + 0 + 2*s + k*s**4 - 2/5*s**2. Solve j(r) = 0.
-1, 2
Let i(g) be the second derivative of -9*g**5/130 - 7*g**4/78 + 2*g**3/39 + 6*g. Factor i(n).
-2*n*(n + 1)*(9*n - 2)/13
Let p = 6032/5 - 1200. Factor -18/5*v + p*v**2 + 12/5*v**4 - 28/5*v**3 + 4/5 - 2/5*v**5.
-2*(v - 2)*(v - 1)**4/5
Let c(y) be the third derivative of y**8/224 - y**6/20 - y**5/20 + 3*y**4/16 + y**3/2 - y**2. Factor c(g).
3*(g - 2)*(g - 1)*(g + 1)**3/2
Suppose 6*j + 0*j = 66. Suppose 0 = -4*t + 5 + 27. Factor 10*s**2 - 20*s**3 - 3*s + 4*s**2 + j*s - t + 6*s**4.
2*(s - 2)*(s - 1)**2*(3*s + 2)
Let k(r) be the third derivative of 2*r**7/105 - 7*r**2. Solve k(o) = 0.
0
Let b(m) be the third derivative of -9*m**8/448 - 3*m**7/140 + m**6/8 - m**5/10 + 16*m**2. Determine f, given that b(f) = 0.
-2, 0, 2/3
Determine g, given that 2/7*g**4 - 2/7*g**3 - 2/7*g**2 + 0 + 2/7*g = 0.
-1, 0, 1
Solve 12*z + 18*z**2 - 20*z**3 + 5*z**4 - 24 - 2*z**4 + 5*z**3 = 0.
-1, 2
Let b(v) = -2*v**2 + v - 1. Let o(i) = -i. Let u(k) = -k**2 + 4*k - 1. Let d(a) = 3*o(a) + u(a). Let t(m) = 3*b(m) - 3*d(m). Factor t(g).
-3*g**2
Let y(a) be the first derivative of a**4/4 + 4. Find h such that y(h) = 0.
0
Let r(u) be the second derivative of -u**4/42 + u**3/7 - 2*u**2/7 - 23*u. Suppose r(p) = 0. What is p?
1, 2
Let d(u) be the first derivative of -3*u**4/28 + 3*u**2/14 + 7. Factor d(p).
-3*p*(p - 1)*(p + 1)/7
Let h(v) be the first derivative of -v**2/2 + 2*v - 2. Let i be h(0). Suppose -4 - i + 10 - 2*b + 0*b - 2*b**2 = 0. What is b?
-2, 1
Let y(i) be the third derivative of i**8/20160 + i**7/7560 - i**6/1080 + i**4/8 + 5*i**2. Let o(j) be the second derivative of y(j). Factor o(k).
k*(k - 1)*(k + 2)/3
Suppose -4*x + 55 - 15 = 0. Let v be x/6 + (-4)/(-12). What is w in 4*w**2 + 11*w - 5*w**2 - 14*w - v = 0?
-2, -1
Suppose -2*g = -g. Let u(z) be the third derivative of 0 + 0*z - 1/48*z**4 + 2*z**2 + 1/120*z**5 + g*z**3. Find q, given that u(q) = 0.
0, 1
Suppose 1/2*n**3 + n**4 + 0 + 0*n**2 + 0*n + 1/2*n**5 = 0. What is n?
-1, 0
Factor -1/3*s - 7/6*s**2 + 0 - 1/2*s**3.
-s*(s + 2)*(3*s + 1)/6
What is s in -5*s**5 + 4*s**5 + 4*s**5 = 0?
0
Suppose 0 - 4 = -4*c + 5*s, -5*c - 4*s + 5 = 0. Let o be 2/66*6/c. Solve -4/11*x**2 + 0*x**3 + o + 0*x + 2/11*x**4 = 0 for x.
-1, 1
Let k(v) = v + 8. Let t be k(-7). Let a be t + 3 + (-2)/1. What is g in 5*g**3 + 1 - 4*g**3 - a*g**3 + 3*g**2 - 3*g = 0?
1
Let y(c) be the first derivative of -c**6/2 + 27*c**5/5 - 24*c**4 + 56*c**3 - 72*c**2 + 48*c - 3. Factor y(g).
-3*(g - 2)**4*(g - 1)
Suppose 3*w - 3*p - 9 + 3 = 0, 0 = 3*w - 5*p - 6. Suppose 2*u**2 + 0*u**2 + 4*u**w - 8*u**2 = 0. Calculate u.
0
Let d(x) be the first derivative of -x**4/42 - 4*x**3/21 - 4*x**2/7 - 10*x + 5. Let u(r) be the first derivative of d(r). Factor u(c).
-2*(c + 2)**2/7
Suppose 1 - h**2 + 0*h**3 + 3*h**3 - 11*h + 10*h - 2*h**3 = 0. Calculate h.
-1, 1
Let x(y) be the third derivative of y**8/3528 + y**7/315 + y**6/70 + 2*y**5/63 + 2*y**4/63 - 31*y**2. Factor x(d).
2*d*(d + 1)*(d + 2)**3/21
Let j(l) = 165*l**3 - l. Let u be j(-1). Let f be (-3)/9 + u/(-24). Let -27/4*p**5 + 1/2 + 1/4*p + f*p**3 + 15/2*p**4 - 8*p**2 = 0. What is p?
-1, -2/9, 1/3, 1
Let l(g) = g**2 + 4*g - 1. Let i be l(-5). Find s such that 0*s**2 - 4*s + 10*s**5 - 10*s**2 - 8*s**3 - 4*s**2 + 2*s**3 + 14*s**i = 0.
-1, -2/5, 0, 1
Let i = 10 - 8. Let d**i + 0*d**2 + 4*d - 5*d + 0*d = 0. Calculate d.
0, 1
Let c(n) be the third derivative of 0 + 0*n**3 - 1/105*n**7 - 1/30*n**5 + 4*n**2 + 0*n + 0*n**4 + 1/30*n**6. Factor c(v).
-2*v**2*(v - 1)**2
Let r(q) be the third derivative of 0 + 1/12*q**4 + 0*q**3 + 1/60*q**6 + 0*q - 2*q**2 + 1/12*q**5. Factor r(h).
h*(h + 2)*(2*h + 1)
Let v be 0 - (0 - (-1 - 1)). Let q be v - -5 - 39/15. Factor -6/5*y**2 - q*y + 0 - 2/5*y**4 - 6/5*y**3.
-2*y*(y + 1)**3/5
Let p(m) = -m**2 - 12*m + 13. Let d be p(-13). Let l(t) be the first derivative of 1 + 0*t + 1/3*t**2 - 1/3*t**4 + 1/9*t**6 + d*t**5 + 0*t**3. Factor l(k).
2*k*(k - 1)**2*(k + 1)**2/3
Solve 2/5*n - 2/5*n**3 + 2/5*n**4 - 2/5*n**2 + 0 = 0.
-1, 0, 1
Suppose q = -2*o - 2*o + 13, 0 = -2*q + 5*o. Factor 8*l**2 - 20*l**2 + 2*l**3 - 27*l**q + 4*l**3 - 3*l + 36*l**4.
-3*l*(l -