 + z**6/160 - z**5/40 - 7*z**2. Factor w(i).
3*i**2*(i - 1)*(i + 2)/4
Solve -2/11*h**3 + 2/11*h**2 - 2/11 + 2/11*h = 0 for h.
-1, 1
Let i(c) be the first derivative of c**6/120 - c**5/60 + c**2 + 3. Let l(t) be the second derivative of i(t). Let l(h) = 0. Calculate h.
0, 1
Let f be (-352)/(-40) + 16/(-20). Factor -25/2*y**2 + 1/2*y**5 - 2 - 7/2*y**4 + f*y + 19/2*y**3.
(y - 2)**2*(y - 1)**3/2
Let v(p) be the third derivative of p**5/300 + p**4/30 - 18*p**2. Determine x so that v(x) = 0.
-4, 0
Let z(g) be the second derivative of 3*g**5/80 + 13*g**4/48 + g**3/12 - g**2 + 22*g. Factor z(r).
(r + 1)*(r + 4)*(3*r - 2)/4
Let o(y) = y**4 - y**3 - y**2 - y + 1. Let x(w) = -5*w**5 - 5*w**4 - 70*w**3 - 25*w**2 - 25*w + 25. Let h(c) = -25*o(c) + x(c). Factor h(b).
-5*b**3*(b + 3)**2
Let -2/7*q**4 - 6/7*q**3 - 10/7*q + 0 + 18/7*q**2 = 0. Calculate q.
-5, 0, 1
Let i be 4/7 - 96/(-126). Factor 2/3*w**2 + i - 2*w.
2*(w - 2)*(w - 1)/3
Let q(u) be the first derivative of -u**7/280 - u**6/120 + u**5/40 + u**4/8 - 4*u**3/3 + 5. Let m(l) be the third derivative of q(l). Factor m(g).
-3*(g - 1)*(g + 1)**2
Let j(s) be the first derivative of 2*s**5/55 + s**4/22 - 2*s**3/33 - s**2/11 - 2. Factor j(z).
2*z*(z - 1)*(z + 1)**2/11
Suppose 4*d - 5*g = -g - 48, -63 = 5*d - 4*g. Let p be 14/30 - 3/d. Factor -w**4 + 2/3*w**3 + 1/3*w**5 + p*w**2 + 1/3 - w.
(w - 1)**4*(w + 1)/3
Let m(f) be the third derivative of -f**5/180 - f**4/24 + 2*f**3/9 + 25*f**2. Suppose m(c) = 0. What is c?
-4, 1
Let s(i) be the third derivative of -i**6/2 - 26*i**5/15 - 13*i**4/6 - 4*i**3/3 + 26*i**2. Factor s(t).
-4*(t + 1)*(3*t + 1)*(5*t + 2)
Let n be 3 + (-26)/(-39)*(-57)/14. Factor 8/7*k - 2/7*k**3 - 8/7 + n*k**2.
-2*(k - 2)*(k - 1)*(k + 2)/7
Let b be (1 - 1)*(-21 + (-60)/(-3)). Factor b - 6/5*t - 2/5*t**2.
-2*t*(t + 3)/5
Let n = 5 - 2. Suppose 2*f + 2*g + 0*g - 14 = 0, 0 = n*f + g - 11. Solve 0 - 2/11*a**f + 2/11*a = 0.
0, 1
Let t be 4*((-3)/3)/1. Let k be (-10)/t - 2/4. Factor -4/7*y**k + 2/7*y - 4/7*y**3 + 2/7 + 2/7*y**5 + 2/7*y**4.
2*(y - 1)**2*(y + 1)**3/7
Let z = 23/154 + 3/22. Let 2/7*y**2 + 0*y - z = 0. Calculate y.
-1, 1
Let h(y) be the second derivative of 4*y + 0*y**3 - 1/6*y**2 + 0 + 1/36*y**4. Solve h(p) = 0 for p.
-1, 1
Let k(r) be the third derivative of r**5/15 + r**4/3 - 2*r**3 + 2*r**2. Factor k(w).
4*(w - 1)*(w + 3)
Determine b so that -4*b**2 + 4*b + b**2 + 5*b**2 + 2 = 0.
-1
Let c(p) be the second derivative of 0*p**5 - 1/42*p**7 + 3*p - 1/15*p**6 + 0*p**2 + 0*p**3 + 0 + 0*p**4. Factor c(w).
-w**4*(w + 2)
Let j = 6 + -29/5. What is f in 0 - 3/5*f**3 - j*f + 4/5*f**2 = 0?
0, 1/3, 1
Let i(p) = -54*p**5 + 46*p**4 + 252*p**3 + 188*p**2 + 66*p + 14. Let u(n) = n**4 + n**2 - n - 1. Let g(y) = i(y) + 8*u(y). Determine h, given that g(h) = 0.
-1, -1/3, 3
Suppose -2*b + 5 = -5*r, -3*b + 5*r + 2 = -3. Suppose -2*p - 3*p + 25 = b. Determine v so that -2*v**2 + p*v**4 - 48*v**3 + 12*v - 2 - 20*v**4 - 17*v**4 = 0.
-1, 1/4
Let s = -737 + 5167/7. Solve -4/7*v**2 - 16/7*v**3 + 2/7 + 2/7*v**4 + 8/7*v**5 + s*v = 0.
-1, -1/4, 1
Let s(z) be the first derivative of z**5/4 - 3*z**4/16 - 7*z**3/12 + 3*z**2/8 + z/2 - 2. Factor s(k).
(k - 1)**2*(k + 1)*(5*k + 2)/4
Let d be (-6)/5 + (7 - 5). Factor -2/5*i**2 - d*i + 0.
-2*i*(i + 2)/5
Let r(p) be the third derivative of p**5/160 + 9*p**4/64 - 60*p**2. Factor r(b).
3*b*(b + 9)/8
Let g(w) be the first derivative of w**6/30 + 8*w**5/25 + 11*w**4/10 + 28*w**3/15 + 17*w**2/10 + 4*w/5 + 15. Suppose g(v) = 0. What is v?
-4, -1
Let n(x) be the second derivative of -x**4/3 - 2*x**3 - 4*x**2 + 7*x. Suppose n(z) = 0. Calculate z.
-2, -1
Let u(a) be the first derivative of -a**4/16 - 5*a**3/12 - 7*a**2/8 - 3*a/4 - 4. Suppose u(j) = 0. Calculate j.
-3, -1
Let r(o) be the third derivative of -o**5/80 - 5*o**4/32 + 3*o**3/4 - 3*o**2. Suppose r(g) = 0. What is g?
-6, 1
Let m(a) be the first derivative of -a**5/5 - a**4/4 - 9. Factor m(b).
-b**3*(b + 1)
Suppose -7*j - 18 = -9*j. Suppose 2*b + 3*p = 11, b - 2*b + j = 5*p. Let -2/7*x**3 + 0*x + 0*x**2 + 0 - 2/7*x**b = 0. Calculate x.
-1, 0
Let g(f) = -f**2 - f + 1. Let v(c) = 2*c**3 - 9*c**2 - 7*c + 9. Let o(t) = 5*g(t) - v(t). Factor o(u).
-2*(u - 2)*(u - 1)*(u + 1)
Let r(z) be the first derivative of -2*z**3 + 9*z**2/2 - 3*z - 15. Determine o so that r(o) = 0.
1/2, 1
Suppose -i - 15 = -2*i. Let q be 0*(i/(-6) - -2). What is y in y**2 - y**2 + y + y**2 + q*y**2 = 0?
-1, 0
Let l = -46 - -51. Let o(h) = -h + 2. Let b be o(-3). Factor -6*v + 4*v - 27*v**3 - l*v**b - 13*v**2 - 4*v**5 + 2*v**5 - 23*v**4.
-v*(v + 1)**3*(7*v + 2)
Let z be (-2 + 3)*(-52)/10. Let q = 98/15 + z. Factor 0*h + 2/3*h**5 + 0*h**2 + 0 + 2/3*h**3 - q*h**4.
2*h**3*(h - 1)**2/3
Let x be (4/(-6) + 1)*3. Let a(l) be the first derivative of x + 6/5*l**5 + l**4 - 2*l**3 + 0*l - 2*l**2. Factor a(i).
2*i*(i - 1)*(i + 1)*(3*i + 2)
Let j(y) be the first derivative of -25*y**6/24 - 13*y**5/4 - 23*y**4/8 + y**3/6 + 7*y**2/8 - y/4 + 4. Factor j(v).
-(v + 1)**3*(5*v - 1)**2/4
Let f(z) = z**3 + z**2 + 1. Let n(x) = 3*x**4 - x**3 + 8*x**2 + 5. Let u(d) = 5*f(d) - n(d). Factor u(h).
-3*h**2*(h - 1)**2
Factor -18*z**3 - 4*z**2 - 12*z**3 + 25*z**3 - z**4.
-z**2*(z + 1)*(z + 4)
Let n = 19 + -12. Factor -3*i + i**2 - 6*i**2 - i**2 + 2 + n*i**2.
(i - 2)*(i - 1)
Let o be 2 - ((-2)/(-230) + 2). Let v = 809/460 + o. Find u such that -9/4*u**3 + 9/4*u - 1/2 + v*u**4 - 5/4*u**2 = 0.
-1, 2/7, 1
Let a = 8208/469 + -1/938. Factor 49/4*o**4 + 1 - 3/4*o**2 - 5*o + a*o**3.
(o + 1)**2*(7*o - 2)**2/4
Let w(i) be the third derivative of i**6/840 - i**5/210 - 5*i**2. Factor w(a).
a**2*(a - 2)/7
Factor -1/2*d**2 + 0 + 0*d + 1/4*d**4 + 1/4*d**3.
d**2*(d - 1)*(d + 2)/4
Let k be (-28)/(-6) - 5/(-15). Let j be (-4 + -1)*(-2)/10. Determine o, given that -5*o - k*o**2 + j - 10*o**2 + 3*o = 0.
-1/3, 1/5
Let u(v) be the second derivative of 3*v**5/20 + 5*v**4/12 + v**3/6 - v**2/2 - 4*v. Suppose u(y) = 0. What is y?
-1, 1/3
Suppose 0 = -5*l + 25, 5*l - 2*l - 120 = -5*z. Let w = z + -21. Factor w - 1/2*p**2 - p.
-p*(p + 2)/2
Let p(l) be the second derivative of -1/3*l**3 + 0 + 1/18*l**4 + 0*l**2 - 5*l. Factor p(u).
2*u*(u - 3)/3
Let o = 7 - 8. Let v(d) = -d**2 - d - 1. Let u(f) = f**3 - 3*f**2 + 6*f - 1. Let x(a) = o*u(a) - v(a). Factor x(n).
-(n - 2)*(n - 1)**2
Factor 0*v**3 + 0 + 3/4*v - 9/8*v**2 + 3/8*v**4.
3*v*(v - 1)**2*(v + 2)/8
Let r(u) = 2*u**4 + 6*u**3 - 4. Let d(s) = 2 + 0*s**3 + s**3 - 3. Suppose 2*a - 4 - 4 = 0. Let p(l) = a*d(l) - r(l). Factor p(f).
-2*f**3*(f + 1)
Let q(r) be the second derivative of -3*r - 1/36*r**4 - 1/6*r**3 - 1/3*r**2 + 0. Determine t so that q(t) = 0.
-2, -1
Let z(o) be the third derivative of -9*o**6/160 - 3*o**5/16 - 7*o**4/32 - o**3/8 + 8*o**2. Find m such that z(m) = 0.
-1, -1/3
Determine b so that 2*b**4 + 11*b**3 + 10*b**3 + 5*b**5 + 20*b**2 - 41*b**3 - 7*b**4 = 0.
-2, 0, 1, 2
Let a(q) be the second derivative of q**7/21 + 7*q**6/60 - q**5/20 + 2*q. Solve a(l) = 0.
-2, 0, 1/4
Let p(l) be the second derivative of 0 + l - 1/30*l**4 - 2/5*l**2 + 1/5*l**3. Solve p(j) = 0.
1, 2
Let h(q) be the first derivative of 2/3*q**2 + 1/6*q**4 + 1 - 2/3*q**3 + 0*q. Solve h(f) = 0 for f.
0, 1, 2
Let j(h) be the third derivative of 1/21*h**3 - 1/105*h**6 + 0 + h**2 + 0*h + 1/735*h**7 - 1/21*h**4 + 1/35*h**5. Factor j(n).
2*(n - 1)**4/7
Let y(a) be the first derivative of -1/18*a**6 + 1/6*a**2 + 2/15*a**5 + 4 + 0*a - 2/9*a**3 + 0*a**4. Determine k, given that y(k) = 0.
-1, 0, 1
Let o = -591 - -594. Determine l, given that 2/9*l**5 + 0 - 8/3*l**2 + 26/9*l**o + 8/9*l - 4/3*l**4 = 0.
0, 1, 2
Let f(x) be the first derivative of 0*x - 2/3*x**3 - 3/2*x**4 + 5 + 0*x**2. What is q in f(q) = 0?
-1/3, 0
Let d = 97 + -16. Let j be -2 + d/21 + -1. Factor -2/7*c + 0 - j*c**2.
-2*c*(3*c + 1)/7
Let f(u) = -4*u**3 + 16*u**2 - 25*u - 9. Let h(m) = -m**3 + 4*m**2 - 6*m - 2. Let v(c) = 2*f(c) - 9*h(c). Solve v(r) = 0 for r.
0, 2
Determine k, given that 104*k**3 - 126*k**2 - 27/2 - 32*k**4 + 135/2*k = 0.
3/4, 1
Let l(s) be the third derivative of 1/45*s**5 + 0 + 0*s**4 - 1/45*s**6 + 0*s**3 + 2*s**2 + 0*s - 2/45*s**7 - 1/63*s**8. Factor l(d).
-4*d**2*(d + 1)**2*(4*d - 1)/3
Let u = -28 - -28. Let t(b) be the first derivative of 1/2*b**4 + 2/3*b**3 - 1 + 0*b + u*b**2. Factor t(p).
2*p**2*(p + 