36 + 2*u**3/9 + 2*u**2/3 + 9*u. Factor c(b).
(b + 2)**2/3
Find z, given that 2*z**5 - z**5 + z**5 + 2*z**3 + 6*z**4 - 4*z**3 - 6*z**2 = 0.
-3, -1, 0, 1
Let v(w) = w**2 - 9*w - 13. Let u be v(10). Let d be (-2)/u + (-10)/(-3). Determine i, given that -1/4*i**d + 0 + 0*i**3 + 1/4*i**2 + 0*i = 0.
-1, 0, 1
Let t(m) be the first derivative of m**3/3 + 5*m**2/2 - 6*m + 23. Let t(k) = 0. What is k?
-6, 1
Let s(c) be the second derivative of -5*c + 1/4*c**2 + 0 + 1/6*c**3 + 1/24*c**4. Factor s(m).
(m + 1)**2/2
Let z be (2 - 2) + 2 + (-3)/12. Factor -5/4*j + 1/2 - z*j**2.
-(j + 1)*(7*j - 2)/4
Let v(n) = -n - 3. Let t be v(-5). Let p(x) be the first derivative of 6/35*x**5 + 2/7*x**3 + 2 - 4/7*x - 1/2*x**4 + 3/7*x**t. Suppose p(k) = 0. What is k?
-2/3, 1
Let v(z) be the first derivative of z**4/60 + z**3/30 - z**2/5 - 2*z - 8. Let f(h) be the first derivative of v(h). Find x such that f(x) = 0.
-2, 1
Factor 15*n + 21*n - 2*n**2 - n + 7*n**2.
5*n*(n + 7)
Let o(m) be the first derivative of -4*m**3/3 - 12*m**2 - 36*m + 53. Factor o(v).
-4*(v + 3)**2
Let g(c) be the third derivative of -c**8/840 + c**7/105 - c**6/30 + c**5/15 - c**4/12 + c**3/6 - 4*c**2. Let l(u) be the first derivative of g(u). Factor l(n).
-2*(n - 1)**4
Let y = 27/5 + -5. Factor -6/5*h**4 + 6/5*h**3 + 0 - 2/5*h**2 + y*h**5 + 0*h.
2*h**2*(h - 1)**3/5
Let g = 213/721 - 1/103. Factor 6/7*o + g*o**2 + 4/7.
2*(o + 1)*(o + 2)/7
Let c(x) be the second derivative of -1/15*x**3 + 0 - 1/30*x**4 + 4*x + 0*x**2. Factor c(u).
-2*u*(u + 1)/5
Let a(m) be the third derivative of m**8/448 - 3*m**7/280 + m**6/80 + 35*m**2. Determine x so that a(x) = 0.
0, 1, 2
Let b(y) = y + 5. Let h be b(-7). Let n be h/(-4) + 3/2. Factor 0*z**2 + n*z**2 + 4*z - 14*z**3 + 8*z**2.
-2*z*(z - 1)*(7*z + 2)
Suppose 3*g = -12, -4*l + 2*g - g = -20. Let r(b) be the first derivative of -1 - 1/2*b**l + 0*b + 0*b**3 + 2/5*b**5 + 0*b**2. Solve r(j) = 0.
0, 1
Suppose 59*u = 58*u. Factor -72*d**3 + 18*d**2 + u + 96*d**4 - 3/2*d.
3*d*(4*d - 1)**3/2
Let q(p) be the second derivative of p**6/24 - 3*p**5/16 + 5*p**4/48 + 5*p**3/8 - 5*p**2/4 + p. Let q(b) = 0. What is b?
-1, 1, 2
Let n(x) be the second derivative of -1/2*x**2 - 1/20*x**6 + 3/4*x**3 - x + 0 - 5/8*x**4 + 11/40*x**5. Solve n(z) = 0.
2/3, 1
Let h(m) be the first derivative of -1/6*m**4 + 0*m**2 - 5 + 0*m - 2/9*m**3. Find n, given that h(n) = 0.
-1, 0
Let o be (0 - (-4)/4)/2. Let -o*m + 0 + 1/2*m**2 = 0. What is m?
0, 1
Let j = 3 - 3. Determine m, given that 2/11*m + j + 0*m**4 + 2/11*m**5 - 4/11*m**3 + 0*m**2 = 0.
-1, 0, 1
Let q(l) be the first derivative of -l**5/25 + l**4/5 - 2*l**3/5 + 2*l**2/5 - l/5 - 6. Factor q(y).
-(y - 1)**4/5
Let t(h) = -8*h**2 - 22*h - 23. Let n(x) = 65*x**2 + 175*x + 185. Let a(f) = 3*n(f) + 25*t(f). Find p such that a(p) = 0.
-4, -1
Let h(f) be the third derivative of -f**7/1365 + 11*f**6/780 - 3*f**5/26 + 27*f**4/52 - 18*f**3/13 - 21*f**2. Find a, given that h(a) = 0.
2, 3
Suppose 5 = 4*g - 15. Let b(c) be the first derivative of 2/5*c + 2 + 7/10*c**2 + 1/25*c**g + 3/5*c**3 + 1/4*c**4. Factor b(y).
(y + 1)**3*(y + 2)/5
Let r(x) be the third derivative of 3*x**2 + 0*x + 0*x**4 - 1/180*x**6 + 1/180*x**5 + 0 + 1/630*x**7 + 0*x**3. Let r(k) = 0. What is k?
0, 1
Let l = -2 - -3. Let r = 1 + l. Suppose 20*t**2 + 2 - 7*t**4 - r*t**5 - 10*t - 20*t**3 + 14*t**4 + 3*t**4 = 0. What is t?
1
Let r(c) be the second derivative of c**6/280 + c**5/140 + 7*c**2/2 - 6*c. Let z(l) be the first derivative of r(l). Factor z(q).
3*q**2*(q + 1)/7
Suppose 1/2*t + 0 + t**4 - 1/2*t**5 - t**2 + 0*t**3 = 0. Calculate t.
-1, 0, 1
Let j(m) be the second derivative of -m**4/4 - 4*m**3/3 - m. Let u(q) = q**2 + 3*q. Let f(c) = -2*c - 2. Let y be f(3). Let g(t) = y*u(t) - 3*j(t). Factor g(i).
i**2
Factor 0*w + 0 - 4/3*w**2 - 5/3*w**3.
-w**2*(5*w + 4)/3
Let m(f) be the third derivative of -f**9/12096 + f**8/2240 - f**7/1120 + f**6/1440 - f**3/3 - 2*f**2. Let a(z) be the first derivative of m(z). Factor a(p).
-p**2*(p - 1)**3/4
Let b = -8 - -12. Let k(m) be the first derivative of -3*m**2 + 2*m + 2*m**3 - 1 - 1/2*m**b. Factor k(y).
-2*(y - 1)**3
Let p(v) be the third derivative of v**6/420 - v**5/105 - v**4/21 + 8*v**3/21 - 3*v**2. Factor p(c).
2*(c - 2)**2*(c + 2)/7
Let g(w) be the third derivative of -w**5/30 - w**4/2 - 3*w**3 - 2*w**2. Factor g(b).
-2*(b + 3)**2
Let z(a) be the first derivative of a**6/9 + 2*a**5/15 - a**4/3 - 4*a**3/9 + a**2/3 + 2*a/3 - 1. Factor z(t).
2*(t - 1)**2*(t + 1)**3/3
Solve -60*i**2 + 18*i**5 + 41*i**5 + 7*i**4 - 38*i**5 - 63*i**3 - i**4 - 12*i = 0.
-1, -2/7, 0, 2
Suppose 0 = -v + 2 + 3. Let w(h) be the second derivative of 0 + 0*h**3 + 1/6*h**7 - 1/10*h**v + 0*h**4 + 1/6*h**6 + 0*h**2 + 3*h. Factor w(n).
n**3*(n + 1)*(7*n - 2)
Let t(y) = y**3 + 22*y**2 + 20*y - 11. Let u be t(-21). Suppose 0 = 20*p - 15*p - u. What is l in -8/5 + 0*l + 2/5*l**3 + 6/5*l**p = 0?
-2, 1
Let q be (-99)/(-63) + 0 - 6/(-14). Suppose 0 = 5*r - 0*r. Factor 0*c + r + 3/5*c**3 - 3/5*c**q.
3*c**2*(c - 1)/5
Let s(q) be the first derivative of -3*q**4/4 + 2*q**3 - 3*q**2/2 + 1. Determine y, given that s(y) = 0.
0, 1
Let k be 10/3 + -2 - 0. Let a be (-1)/((2/10)/((-8)/12)). Factor -2*t + a*t**2 - k.
2*(t - 1)*(5*t + 2)/3
Let d = 35 + -33. Let a(n) be the third derivative of 1/270*n**5 - 1/27*n**3 + 1/540*n**6 - 1/108*n**4 + 0*n + 0 + d*n**2. Suppose a(x) = 0. What is x?
-1, 1
Suppose -3*t + 4*v - 11 = -8*t, v = 3*t - 10. Let 0 - 3/2*j + t*j**2 - 3*j**4 + 3/2*j**3 = 0. Calculate j.
-1, 0, 1/2, 1
Let k(q) = q**3 + 4*q**2 + q. Let b be k(-2). Let n(i) = 18*i**4 + 26*i**3. Let t(d) = 2*d**4 + 3*d**3. Let s(u) = b*n(u) - 52*t(u). Factor s(v).
4*v**4
Let d(n) be the first derivative of 4*n**3/3 - 8*n**2 - 20*n + 8. Factor d(i).
4*(i - 5)*(i + 1)
Suppose -6*g + g + 10 = 0. Factor 3*c**g + 0*c - c**2 + c**3 + 0*c.
c**2*(c + 2)
Let u(j) be the first derivative of 1 + 1/20*j**4 - 1/15*j**3 + 1/25*j**5 - 1/10*j**2 + 0*j. Factor u(c).
c*(c - 1)*(c + 1)**2/5
Let h(t) be the first derivative of -t**3/24 + 3*t**2/4 - 9*t/2 - 12. Find i such that h(i) = 0.
6
Let v(z) be the second derivative of -z**5/140 + z**3/14 + z**2/7 + 2*z. Factor v(y).
-(y - 2)*(y + 1)**2/7
Find d, given that -12*d**4 - 4*d + 10*d**4 - 6*d**5 + 31*d**3 - 6*d**2 - 13*d**3 = 0.
-2, -1/3, 0, 1
Let -10*q**4 - 10*q**2 + 6*q**4 - 5*q + 7*q**4 + 2*q**4 + 10*q**3 - 5*q**5 + 5 = 0. Calculate q.
-1, 1
Factor 1/9*r**2 + 0*r**3 - 1/9*r**4 + 0 + 0*r.
-r**2*(r - 1)*(r + 1)/9
Let h(y) be the third derivative of -y**4/24 - y**3/6 + 3*y**2. Let l(n) = -2*n**2 - 6*n - 4. Let f(i) = 8*h(i) - l(i). Factor f(x).
2*(x - 2)*(x + 1)
Let v(p) be the third derivative of -p**7/210 + p**6/120 + p**5/60 - p**4/24 - 6*p**2. Factor v(b).
-b*(b - 1)**2*(b + 1)
Suppose -2/7*z**5 - 6/7*z + 8/7*z**3 + 0*z**4 - 4/7 + 4/7*z**2 = 0. Calculate z.
-1, 1, 2
Suppose -b = -5 + 3. Factor 14*r**3 - b*r**4 + 5*r**2 - 3*r**2 - 19*r**3 + 7*r**3 - 2*r**5.
-2*r**2*(r - 1)*(r + 1)**2
Let 4/7*s - 16/7*s**2 - 15/7*s**5 + 11/7*s**3 + 16/7*s**4 + 0 = 0. What is s?
-1, 0, 2/5, 2/3, 1
Let o be 2/10 + 19/5. Factor -6*z - 9*z**o - 12*z**2 + z**2 - 10*z**2 - 24*z**3.
-3*z*(z + 1)**2*(3*z + 2)
Let h(f) = 3*f**4 + 33*f**3 + 37*f**2 - 7*f + 7. Let c(x) = -x**4 - 16*x**3 - 19*x**2 + 4*x - 4. Let l(m) = 7*c(m) + 4*h(m). Suppose l(b) = 0. What is b?
-3, -1, 0
Let g(a) be the second derivative of -a**6/120 + 3*a**5/80 + a**4/48 - a**3/8 - 4*a. Factor g(m).
-m*(m - 3)*(m - 1)*(m + 1)/4
Let i be (-10)/(-9)*(-165)/(-125). Let a(w) be the first derivative of -3 + 3/2*w**4 + 0*w + 2/9*w**3 + i*w**5 - 1/3*w**2 + 4/9*w**6. Find m such that a(m) = 0.
-1, 0, 1/4
Factor -4/5 + 4/5*u - 1/5*u**2.
-(u - 2)**2/5
Factor 3/2*b**2 + 9/2 - 9/2*b - 1/6*b**3.
-(b - 3)**3/6
Factor 0*p + 1/5 - 1/5*p**2.
-(p - 1)*(p + 1)/5
Let u(y) be the second derivative of -y**9/1008 + 3*y**7/280 + y**6/60 - y**3/6 - 4*y. Let i(j) be the second derivative of u(j). Let i(z) = 0. Calculate z.
-1, 0, 2
Let u = 1/154 - -295/2002. Factor 54/13*q - 54/13 + u*q**3 - 18/13*q**2.
2*(q - 3)**3/13
Suppose -32*j + 48*j = 0. Suppose j*y - 3/4*y**5 + 0 + 3/2*y**2 - 3/2*y**4 + 3/4*y**3 = 0. What is y?
-2, -1, 0, 1
Let z(d) = -d**3 - 8*d**2 + 2. Let a(w) = 4*w**3 + 41*w**2 - 11. Let b(y) = -y**2 + y + 1. Let f be b(4). Let c(v) = f*z(v) 