2 + 2*q**3.
2*(q - 1)*(q + 2)**2
Let c(f) be the third derivative of 0*f + 0*f**4 + 0 - 1/6*f**3 - 3*f**2 + 1/60*f**5. Factor c(l).
(l - 1)*(l + 1)
Suppose 93*k = -68*k + 322. Let t be 28/30 + (-1)/3. Factor -3/5*m**4 + t*m**k + 1/5*m + 0 - 1/5*m**3.
-m*(m - 1)*(m + 1)*(3*m + 1)/5
Let d = -74/115 + 24/23. Find q such that d*q**2 + 0*q + 0 - 2/5*q**3 = 0.
0, 1
Let g(d) be the third derivative of -d**5/160 + 3*d**4/64 - 6*d**2. Solve g(y) = 0.
0, 3
Suppose 0 = q - 3 - 29. Factor 8*s**3 + 64/3 + 4/3*s**2 + 4/3*s**4 - q*s.
4*(s - 1)**2*(s + 4)**2/3
Let z(p) be the third derivative of -p**5/210 - 2*p**4/21 - 3*p**2. Factor z(i).
-2*i*(i + 8)/7
Let f(r) be the third derivative of -r**7/1680 - r**6/192 - 7*r**5/480 - r**4/64 + 34*r**2. Factor f(p).
-p*(p + 1)**2*(p + 3)/8
Solve 12/13 - 10/13*w - 2/13*w**2 = 0.
-6, 1
Let m = 213/860 + 1/430. Solve -1/8*k**2 - m*k + 0 = 0.
-2, 0
Factor 0 + 3/5*t + 3/5*t**3 + 6/5*t**2.
3*t*(t + 1)**2/5
Let o(z) be the second derivative of 2*z**7/7 + 3*z**6/2 + 63*z**5/20 + 13*z**4/4 + 3*z**3/2 + 2*z + 9. Factor o(c).
3*c*(c + 1)**3*(4*c + 3)
Suppose 10/7*c**2 + 8/7 - 2/7*c**3 - 16/7*c = 0. What is c?
1, 2
Let k(s) = 2*s**5 - 6*s**4 + 10*s**3 + 22*s**2 + 20*s - 8. Let j(g) = -g**5 + 2*g**4 - 3*g**3 - 7*g**2 - 7*g + 3. Let u(o) = -8*j(o) - 3*k(o). Factor u(d).
2*d*(d - 2)*(d + 1)**3
Let d = 162/77 + -9/7. Let y = d + 25/77. Factor -y*s**3 + 0*s + 0 + 2/7*s**2 + 6/7*s**4.
2*s**2*(s - 1)*(3*s - 1)/7
Let v(j) be the second derivative of -j**6/10 + 27*j**5/20 - 6*j**4 + 8*j**3 - 23*j + 1. Factor v(p).
-3*p*(p - 4)**2*(p - 1)
Suppose v - 2 = 3. Let -13*y**4 - v*y**4 - 4*y**4 + y**4 - 27*y**3 - 6*y**2 = 0. What is y?
-1, -2/7, 0
Suppose -s - 17 = -h + 4*s, 11 = -2*h - 5*s. Let w(f) be the second derivative of 0*f**2 + 1/6*f**3 + 0 - 1/20*f**5 + 0*f**4 - h*f. Factor w(c).
-c*(c - 1)*(c + 1)
Suppose -2 = 3*v - 4*v. Let u be v - (2 - (-6)/(-3)). Suppose 0*t + 2/7*t**u - 2/7 = 0. What is t?
-1, 1
Let k(v) be the second derivative of 11/2*v**4 + 27/2*v**2 - 12*v**3 + 0 - 5*v - 6/5*v**5 + 1/10*v**6. Factor k(t).
3*(t - 3)**2*(t - 1)**2
Let o be (4/5)/(6/15). Let l(n) be the first derivative of 1/6*n**3 - 1/4*n**o + 0*n - 1. Suppose l(v) = 0. Calculate v.
0, 1
Let c(b) = 6*b**3 + 8*b**2 - 2*b - 2. Let f(a) = 7*a**3 + 9*a**2 - 3*a - 2. Suppose -g + 30 = -6*g. Let m = g - -3. Let i(z) = m*c(z) + 2*f(z). Factor i(x).
-2*(x + 1)**2*(2*x - 1)
Let d be 7 + -4 - 0/(-2). Let h be 4 - (d + 6/(-4)). Determine z, given that 5*z**2 + 1/2 - h*z - 1/2*z**5 - 5*z**3 + 5/2*z**4 = 0.
1
Let n(h) = h + 4. Let l be n(2). Let p be l + (0 + -4)*1. What is r in 18/5*r**5 + 2/5 - 12/5*r**p + 4*r**3 + 42/5*r**4 - 6/5*r = 0?
-1, 1/3
Let l be (0 + 0)*1 - (-14)/28. Factor -1/2 + 0*d + l*d**2.
(d - 1)*(d + 1)/2
What is z in 2/11*z**4 - 16/11 + 24/11*z - 6/11*z**3 - 4/11*z**2 = 0?
-2, 1, 2
Let h(r) be the third derivative of -r**6/840 - r**5/420 - 2*r**2. Factor h(o).
-o**2*(o + 1)/7
Let g(v) be the second derivative of 1/30*v**5 - 1/9*v**3 - 1/18*v**4 + 0 - v + 0*v**2 + 1/45*v**6. Let g(z) = 0. Calculate z.
-1, 0, 1
Suppose 4*w - 18 = -2*m, -15*m + 11*m = 4*w - 28. Let -9/2*h - 3/2*h**w - 3 = 0. Calculate h.
-2, -1
Let z(l) be the second derivative of 9*l**2 + 1/10*l**5 - 5*l + 0 + 7/6*l**4 + 5*l**3. Factor z(m).
2*(m + 1)*(m + 3)**2
Let l(i) be the second derivative of i**4/6 + 2*i**3/3 - 3*i**2 - 25*i. Suppose l(u) = 0. What is u?
-3, 1
Let j(t) = t**3 + 8*t**2 + t + 2. Let s be j(-8). Let p = 8 + s. What is u in u**4 - u**3 - 3*u**p + 5*u**2 - 3*u**2 + 2*u**3 - u = 0?
-1, 0, 1
Let n(y) be the third derivative of -11*y**7/70 - y**6/20 + 11*y**5/20 + y**4/4 - 28*y**2. Determine p, given that n(p) = 0.
-1, -2/11, 0, 1
Let m be 4/((-300)/(-76) - 3) - 4. Factor -m*x**3 - 4/9*x + 2/3*x**2 + 0.
-2*x*(x - 2)*(x - 1)/9
Factor 4/9*m + 0 + 2/9*m**2.
2*m*(m + 2)/9
Solve -2/11*y**2 - 4/11*y**3 + 4/11*y + 2/11*y**4 + 0 = 0 for y.
-1, 0, 1, 2
Determine o, given that 15*o**2 - 5*o**3 - 5000 + 63*o**2 - 1500*o - 228*o**2 = 0.
-10
Let v(h) be the second derivative of -4/33*h**3 - 5*h - 1/66*h**4 + 0 - 3/11*h**2. Factor v(u).
-2*(u + 1)*(u + 3)/11
Let n(k) be the first derivative of k**8/840 + k**7/700 - k**6/450 - k**3/3 - 3. Let z(o) be the third derivative of n(o). Determine q, given that z(q) = 0.
-1, 0, 2/5
Let z be -1 - (0 + 3 - -18). Let b = z + 26. Factor 1/4*y**3 + 1/2*y**b + 0*y**2 + 1/4*y**5 + 0 + 0*y.
y**3*(y + 1)**2/4
Let o(j) = -5*j**3 - 5*j**2 + 5*j + 5. Let k(l) = -l - 8. Let u be k(-9). Let m(b) = b**3 + b**2 - b - 1. Let t(s) = u*o(s) + 6*m(s). Factor t(p).
(p - 1)*(p + 1)**2
Let y(h) = 4*h + 13. Let u be y(-7). Let a be 24/u*(-10)/4. Solve 2/9*z**3 + 0*z + 4/9*z**2 - 2/9*z**a + 0 = 0 for z.
-1, 0, 2
Let o(s) = s**3 + s**2 - 2*s - 6. Let p be o(2). Factor 0 + 0*c + 1/3*c**3 + 1/3*c**p.
c**2*(c + 1)/3
Suppose 2*f + f = 99. Factor -25*b**2 - 6 - 14*b**4 + 5*b**4 + f*b**3 - 20*b**2 + 27*b.
-3*(b - 1)**3*(3*b - 2)
Let n be (-16)/(-5) - (-3)/(-15). Factor m**2 + 0*m**n + m**3 - 2*m**2.
m**2*(m - 1)
Let z = -4501/100 + 181/4. Let j(q) be the first derivative of 2 - z*q**5 + 0*q**3 + 0*q**2 + 0*q + 1/5*q**4 + 1/15*q**6. Factor j(f).
2*f**3*(f - 2)*(f - 1)/5
Let i(p) be the second derivative of 0 + 2*p + 0*p**2 + 29/60*p**6 + 3/40*p**5 - 1/6*p**3 - 3/8*p**4 - 1/4*p**7. Determine g, given that i(g) = 0.
-1/3, -2/7, 0, 1
Let f(t) = t**3 - 8*t**2 + 9*t - 12. Let c be f(7). Factor 1/2*i**c + 0*i - 2.
(i - 2)*(i + 2)/2
Let c(u) be the second derivative of -u**4/12 - 13*u**3/3 - 169*u**2/2 + 44*u. Factor c(y).
-(y + 13)**2
Let l(f) be the second derivative of -8/3*f**4 + 0 - 2/5*f**5 + 14/15*f**6 + 8/21*f**7 - 4/3*f**3 + 2*f**2 - 5*f. Let l(m) = 0. What is m?
-1, 1/4, 1
Let t = 7 - 1. Let n be 4/2*t/4. Factor -2*c**2 - 8*c**2 + 18*c**n - 4 - 18*c + 14*c**4 + 0*c**2.
2*(c - 1)*(c + 1)**2*(7*c + 2)
Factor 2/9*k**4 - 2/9*k**5 + 2/9*k**3 - 2/9*k**2 + 0*k + 0.
-2*k**2*(k - 1)**2*(k + 1)/9
Let n(g) = -g + 2. Let f be n(0). Let k(a) be the first derivative of -f*a**3 - a**2 - 4*a + 3*a**3 + a**3 + 1. Factor k(y).
2*(y - 1)*(3*y + 2)
Let q(n) = -10*n**4 + 53*n**3 - 443*n**2 + 1507*n - 1868. Let b(m) = 3*m**4 - 18*m**3 + 148*m**2 - 502*m + 623. Let l(t) = 21*b(t) + 6*q(t). Factor l(j).
3*(j - 5)**4
Suppose j + 7 = -3*l, 8 = -2*j - 4*l - 0. Suppose 4*p - 10 = -j. Factor 2 + 4*y - 2*y - 2*y**2 - p.
-2*y*(y - 1)
Factor -6*i**3 + 5*i**4 - 15*i**4 - 3*i**2 + 7*i**4.
-3*i**2*(i + 1)**2
Factor c**4 - 16*c + c**2 + 16*c - 2*c**2.
c**2*(c - 1)*(c + 1)
Let u(g) be the third derivative of -g**5/60 - g**4/4 - 3*g**3/2 - 4*g**2. Factor u(i).
-(i + 3)**2
Let v be 0*(1 + (0 - 2)). Suppose u = 6*u + 4*a - 27, -12 = -5*u + a. Suppose -1/3*y + v + 1/3*y**u + 0*y**2 = 0. What is y?
-1, 0, 1
Let h(w) be the first derivative of 0*w + 1/8*w**2 - 2 - 1/12*w**3. Factor h(i).
-i*(i - 1)/4
Let l(a) be the second derivative of 1/72*a**4 + 2*a + 0*a**3 + 0 + 0*a**5 - 1/360*a**6 + a**2. Let q(u) be the first derivative of l(u). Factor q(m).
-m*(m - 1)*(m + 1)/3
Let w(z) = 6*z**2 - 11 + 0 + 26*z + 9*z**2. Let c(k) = -3*k**2 - 5*k + 2. Let q(d) = -11*c(d) - 2*w(d). Suppose q(p) = 0. What is p?
-1, 0
Suppose 4*k = -0*k + 16. Suppose -3*y - 2*z + k = 2*y, -4 = -3*y - 2*z. Suppose 2/11*b + y*b**2 + 0 - 2/11*b**3 = 0. Calculate b.
-1, 0, 1
Let x be (2 - 3) + -7 + 2. Let a be x/((12/9)/(-2)). Solve -1 + 2 + 3*c**3 + 2 + 9*c**2 + a*c = 0.
-1
Let x(k) be the third derivative of k**9/1512 + k**8/280 + k**7/140 + k**6/180 - k**3/3 + 3*k**2. Let o(f) be the first derivative of x(f). Factor o(h).
2*h**2*(h + 1)**3
Suppose 0 = 4*f - 4*q - 28, -f - 5*q = -2*q + 1. Let d(l) be the third derivative of -2*l**2 + 0 + 0*l + 1/60*l**f + 1/6*l**4 + 2/3*l**3. Factor d(u).
(u + 2)**2
Let 0*a**2 + 0 + 1/2*a**3 - 2*a = 0. Calculate a.
-2, 0, 2
Determine r, given that 4*r**3 + 65 - 16*r**2 - 34 - 31 = 0.
0, 4
Let l be 2 + 2 + 4 + -4. Factor 3*y**2 + 11*y**l - 12*y**4 + y**3 - 3*y**2.
-y**3*(y - 1)
Let t(d) be the second derivative of d**7/273 + d**6/195 - d**5/130 - d**4/78 - 15*d. Factor t(k).
2*k**2*(k - 1)*(k + 1)**2/13
Let z(c) be the second derivative of -c**6/540 + c**5/60 - c**4/18 - 2*c**3/3 + 2*c. Let v(f) be the second derivative of z(f). Determine t so that v(t) = 0.
1, 2
Let l be (-876)/28 - (-6)/21. Let g = 34 + l. Solve