 13*r + 27. Let c(i) = -5*o(i) + 6*x(i). Factor c(d).
3*(d - 3)**2
Let u(p) = -2*p**2 + 23*p - 13. Let r(a) = a**2 - 11*a + 6. Let q(m) = -9*r(m) - 4*u(m). Let w be q(6). Factor -3*l**3 - l**w + 0*l**3 + 4*l**3.
-l**3*(l - 1)
Let d(a) be the first derivative of a**6/21 - 4*a**5/35 - a**4/7 + 16*a**3/21 - a**2 + 4*a/7 + 3. Suppose d(v) = 0. Calculate v.
-2, 1
Let 6 - 13 + 4 - 6*z + 3*z**4 + 6*z**3 = 0. Calculate z.
-1, 1
Let f(k) be the second derivative of 1/22*k**4 + 0 + 1/11*k**3 + 1/110*k**5 + 1/11*k**2 + 3*k. Determine z so that f(z) = 0.
-1
Suppose 5 - 22 = 4*v + 3*m, 5*v - m + 7 = 0. Let u = v - -5/2. Factor -u*j**4 - 1/2*j**2 + j**3 + 0 + 0*j.
-j**2*(j - 1)**2/2
Let o(p) be the second derivative of -p**6/15 + p**5/10 + 3*p. Find f, given that o(f) = 0.
0, 1
Let d(f) be the third derivative of -f**5/60 - f**4/3 - 7*f**3/6 + 9*f**2. Find y, given that d(y) = 0.
-7, -1
Let t be -4*2*4/(-24). Let r(o) be the first derivative of 7/3*o**4 + 17/15*o**5 + t*o**2 + 1/3*o + 22/9*o**3 + 2/9*o**6 - 1. Determine z so that r(z) = 0.
-1, -1/4
Factor -6/7*n**2 + 0*n - 3/7*n**3 + 0.
-3*n**2*(n + 2)/7
Let m(u) = u**2 - 5*u + 6. Let c be m(6). Suppose -n = 3*n - c. Let 14/5*z**2 + 4/5*z + 2*z**n + 0 = 0. Calculate z.
-1, -2/5, 0
Let w(u) be the first derivative of u**4/2 + 4*u**3/3 + u**2 - 5. Let w(b) = 0. What is b?
-1, 0
Let o = -17 - -19. Find s, given that -4/5*s**o + 1/5 + 3/5*s = 0.
-1/4, 1
Let j(h) be the first derivative of -h**6/160 + h**5/40 + h**4/32 - h**3/4 - h**2 - 2. Let y(g) be the second derivative of j(g). Factor y(w).
-3*(w - 2)*(w - 1)*(w + 1)/4
Factor 4 + 0*s**2 - 7*s**2 + 2*s**2 + s**2.
-4*(s - 1)*(s + 1)
Factor -2/11*j**4 + 0*j**2 - 4/11*j**3 + 4/11*j + 2/11.
-2*(j - 1)*(j + 1)**3/11
Let x(h) be the first derivative of h**7/147 + h**6/35 + h**5/35 - h**4/21 - h**3/7 - h**2/7 - 3*h + 3. Let b(q) be the first derivative of x(q). Factor b(d).
2*(d - 1)*(d + 1)**4/7
Suppose z + 3*p + 12 = 0, -3*p = 2*z - 2*p + 4. Let z*v + 0*v + 3*v**5 - 3*v - 2*v**2 - 4*v**2 + 6*v**4 = 0. What is v?
-1, 0, 1
Factor 7*n**3 + 4*n + 7*n**2 - 23*n**2 + 5*n**3.
4*n*(n - 1)*(3*n - 1)
Let m(q) be the second derivative of -7*q**4/22 + 65*q**3/11 - 54*q**2/11 - 37*q. Find f such that m(f) = 0.
2/7, 9
Let u be 1/72*(3 + -5)*-1. Let w(o) be the second derivative of 1/9*o**3 + 0 - u*o**4 - 1/6*o**5 - o + 0*o**2. What is v in w(v) = 0?
-1/2, 0, 2/5
Let l(u) = 6*u**2 - 15*u. Let g(i) = 13*i**2 - 29*i + 1. Let k(p) = -3*g(p) + 5*l(p). Factor k(b).
-3*(b - 1)*(3*b - 1)
Suppose 17*n - 20*n = 0. Suppose -w = -p, n*w = 3*w - p - 6. Solve -1/2*h**2 - 1/2*h**w + 1/2*h + 1/2 = 0.
-1, 1
Let a(t) be the first derivative of -t**6/18 + 4*t**5/5 - 14*t**4/3 + 14*t**3 - 45*t**2/2 + 18*t + 31. Solve a(f) = 0.
1, 2, 3
Let p = 4475/1251 + -3/139. Find m such that 2/9*m**2 - 16/9*m + p = 0.
4
Let o(h) be the third derivative of 1/100*h**5 - 1/200*h**6 + 1/1050*h**7 - 4*h**2 - 1/120*h**4 + 0*h + 0 + 0*h**3. Let o(u) = 0. Calculate u.
0, 1
Let h(y) be the third derivative of y**7/168 - y**6/48 - y**5/48 + 5*y**4/48 - y**2. Factor h(o).
5*o*(o - 2)*(o - 1)*(o + 1)/4
Let f(l) be the second derivative of l**4/12 - l**3/6 + 6*l. Factor f(y).
y*(y - 1)
Let n be 10*((-36)/(-10))/3. Let m be ((-1)/(-3))/(10/n). Factor m - 4/5*x + 2/5*x**2.
2*(x - 1)**2/5
Let r(m) be the third derivative of -m**7/7560 + m**6/2160 - m**4/12 + 6*m**2. Let l(q) be the second derivative of r(q). Factor l(d).
-d*(d - 1)/3
Suppose -4*l + 320 = -0*l. Factor -26*f - 54 + f**2 + f**3 + f**3 + l*f - 19*f**2.
2*(f - 3)**3
Factor 2/17 + 2/17*y - 2/17*y**3 - 2/17*y**2.
-2*(y - 1)*(y + 1)**2/17
Let v be ((-2)/(-5))/(40/25). Let i(d) be the first derivative of 2/3*d**3 + 0*d - 1 + v*d**4 + 1/2*d**2. Solve i(o) = 0 for o.
-1, 0
Let m be 2*27/48*14/21. Let r(y) be the first derivative of 0*y - m*y**2 - 1/2*y**3 - 2. Factor r(z).
-3*z*(z + 1)/2
Let f(n) be the first derivative of 2*n**5/5 + 3*n**4/2 + 4*n**3/3 - 1. Determine b so that f(b) = 0.
-2, -1, 0
Factor 10*z + z**3 - 2*z + 6*z**2 + 8 + 3*z + z.
(z + 2)**3
Suppose 7/5*f - 8/5*f**2 - 2/5 - 1/5*f**5 + 2/5*f**3 + 2/5*f**4 = 0. Calculate f.
-2, 1
Determine w, given that 0 + 4/3*w**5 - 4/3*w**4 + 0*w + 0*w**3 + 0*w**2 = 0.
0, 1
Factor -2/7*h**3 + 0 + 0*h**2 + 8/7*h.
-2*h*(h - 2)*(h + 2)/7
Let b(g) = -3*g**3 + g**2 - 3*g + 41. Let o(c) = -c**3 - c + 14. Let d(r) = 6*b(r) - 17*o(r). Let w be d(6). Factor 4/3*t - 10/3*t**3 + 0 + w*t**2.
-2*t*(t - 1)*(5*t + 2)/3
Let o(x) be the first derivative of -5*x**4/4 + 25*x**3/3 + 5*x**2/2 - 25*x - 28. Factor o(k).
-5*(k - 5)*(k - 1)*(k + 1)
Suppose -5*v - 8 = 2*p - 107, -4*p + 4*v + 184 = 0. Let y = p - 140/3. Factor y*r**3 + 0 - 1/3*r + 0*r**2.
r*(r - 1)*(r + 1)/3
Let c(y) be the third derivative of y**5/120 + y**4/12 + y**3/3 - 5*y**2. Factor c(o).
(o + 2)**2/2
Let f be -6*(-3)/(27/6). Factor 2*h**f - 2*h**2 - 5 + 5.
2*h**2*(h - 1)*(h + 1)
Let s be (-1169)/2940 + 2/5. Let h(r) be the third derivative of -s*r**6 - 1/70*r**5 + 0*r**3 + 0 + 2*r**2 + 0*r - 1/42*r**4. Factor h(b).
-2*b*(b + 1)*(b + 2)/7
Let x(h) be the third derivative of -h**5/180 + h**4/18 - h**3/6 + 2*h**2 - 16. Factor x(q).
-(q - 3)*(q - 1)/3
Let y(d) = d**3 + 6*d**2 - 2*d - 9. Suppose -5 = 4*s + 19. Let l be y(s). Suppose k**l - 2/3*k**2 - k + 2/3 = 0. What is k?
-1, 2/3, 1
Let p(s) be the third derivative of -s**8/112 - s**7/70 + s**6/8 - 3*s**5/20 - 18*s**2. Solve p(q) = 0.
-3, 0, 1
Let y(a) be the second derivative of -a**3 - 2*a**2 + 3*a - 1/6*a**4 + 0. Factor y(r).
-2*(r + 1)*(r + 2)
Let c = 6 - 3. Solve 2*w**3 + w**c - w**3 - 2*w = 0.
-1, 0, 1
Let l = -162 - -822/5. Let 12*y**3 - 46/5*y**2 - 5*y**4 - 1/5 + l*y = 0. What is y?
1/5, 1
Factor 3/2*w**3 + 0*w**2 + 0*w + 3/2*w**5 + 0 - 3*w**4.
3*w**3*(w - 1)**2/2
Let l(b) be the third derivative of b**7/840 + b**6/120 - b**4/4 - 7*b**2. Let z(p) be the second derivative of l(p). Factor z(w).
3*w*(w + 2)
Suppose 2*y = -0*u - 3*u + 13, -2*y - 8 = -4*u. What is c in c**3 - u - 3*c + 5*c + c - 3*c**2 + 2 = 0?
1
Let k(p) = -2*p**2 - 8*p - 10. Let i(l) = 5*l**2 + 16*l + 20. Let j(c) = 4*i(c) + 9*k(c). What is v in j(v) = 0?
-1, 5
Factor 5/11*n**2 - 6/11*n + 1/11*n**3 + 0.
n*(n - 1)*(n + 6)/11
Let s(j) = -j**2 + 4*j - 1. Let m be s(3). Factor 0*r**4 + m*r**3 - r**4 + 2*r**4 + r**2.
r**2*(r + 1)**2
Suppose 5*x + 0*x + 10 = 0. Let j be 1 + x/4*-2. Factor 1025*w**3 + 283*w**4 + 403*w**4 + 150*w**2 + 184*w + 249*w**3 + 16 + 606*w**j.
2*(w + 1)*(7*w + 2)**3
Factor 6/7*t**2 - 4/7*t**3 - 8/7 + 8/7*t - 2/7*t**4.
-2*(t - 1)**2*(t + 2)**2/7
Let l(u) be the first derivative of 0*u**3 + 1 + 0*u - 1/60*u**5 + 1/2*u**2 - 1/24*u**4. Let y(r) be the second derivative of l(r). Solve y(h) = 0.
-1, 0
Let l(c) be the third derivative of 0*c + 1/4*c**4 + 0*c**3 + 0 + 6*c**2 + 1/20*c**5. Factor l(d).
3*d*(d + 2)
Find p, given that 0*p**2 - 4/5 - 2/5*p**3 + 6/5*p = 0.
-2, 1
What is c in 0 + 1/2*c**2 - 1/2*c**4 + 1/4*c**3 - 1/4*c**5 + 0*c = 0?
-2, -1, 0, 1
Let c(o) = o**2 - 23*o + 60. Let p be c(20). Let t(f) be the second derivative of 0 - 4*f - 1/48*f**4 + 0*f**2 + 1/80*f**5 + p*f**3 + 1/60*f**6. Factor t(j).
j**2*(j + 1)*(2*j - 1)/4
Let l(s) be the second derivative of -s**6/1260 - s**5/140 - s**4/42 + 2*s**3/3 - 3*s. Let g(j) be the second derivative of l(j). Factor g(d).
-2*(d + 1)*(d + 2)/7
Let n(y) = -y**2 - 4*y + 7. Suppose 0 = 3*l - 2*u + 7, l + 2*u + 21 = -2*u. Let q be n(l). Solve -2*h - 4*h**2 + q*h - 2*h - 2*h**3 = 0.
-1, 0
Let g(i) be the first derivative of -80*i**6/3 + 88*i**5 - 215*i**4/2 + 365*i**3/6 - 35*i**2/2 + 5*i/2 - 21. Solve g(y) = 0.
1/4, 1
Factor -m - 9*m - m**4 - m**4 + 8*m**2 + 2*m**3 + 2*m.
-2*m*(m - 2)*(m - 1)*(m + 2)
Let l(n) be the third derivative of n**5/25 - n**4/40 - 4*n**2. Let l(m) = 0. Calculate m.
0, 1/4
Let q be (-3)/6 + 5 + (-6)/(-84). Let r = 6 - 4. Solve 22/7*u - q*u**2 + r*u**3 - 4/7 = 0 for u.
2/7, 1
Let b(i) be the third derivative of -i**7/180 + i**6/45 + 17*i**5/360 - i**4/24 + 3*i**2. Factor b(d).
-d*(d - 3)*(d + 1)*(7*d - 2)/6
Let z = 0 + -2. Let k(b) = b**3 + b**2 - 3*b - 2. Let j be k(z). Factor j*r**3 + 0 + 0*r + 2/5*r**4 - 2/5*r**2.
2*r**2*(r - 1)*(r + 1)/5
Let w = 2 + 2. Find g such that -12*g**3 + 8*g**3 - 4*g**2 + 8*g**3 - 4*g + 4*g**w = 0.
-1, 0, 1
Factor -2/7*k**4 + 0 + 2/7*k + 2/7*k*