i(r).
-(r - 2)*(r - 1)/4
Let o(y) = 4*y**3 + 2*y**2 + 2*y + 2. Let l be 16/(-6) + (-3)/9. Let f(d) = -d**4 + 4*d**3 + 2*d**2 + 3*d + 3. Let h(v) = l*o(v) + 2*f(v). Solve h(u) = 0 for u.
-1, 0
Let o(c) be the third derivative of -1/90*c**5 - 1/2*c**3 + 0 + 1/1620*c**6 + 0*c + 1/12*c**4 + 2*c**2. Let t(n) be the first derivative of o(n). Factor t(a).
2*(a - 3)**2/9
Let f(x) be the second derivative of x**6/360 - x**5/100 + x**4/120 - 5*x**3/6 - 5*x. Let p(o) be the second derivative of f(o). Factor p(n).
(n - 1)*(5*n - 1)/5
Let o(q) be the second derivative of -q**5/50 - q**4/30 + 2*q**3/15 - 18*q. Factor o(w).
-2*w*(w - 1)*(w + 2)/5
Let n(h) = -110*h + 110*h + 5*h**3 + h**4 - 4*h**2 + 2. Let b(z) = 6*z**4 + 26*z**3 - 21*z**2 + 11. Let k(w) = -2*b(w) + 11*n(w). Factor k(m).
-m**2*(m - 2)*(m - 1)
Suppose -3*s = -12 - 0. Suppose u - 1 = 0, -2*m - 3*u + s*u + 5 = 0. Factor -3*p**m + p - p**2 + p**4 - p**3 + 6*p**3 - 3*p**3.
p*(p - 1)**2*(p + 1)
Let k(t) be the first derivative of 1/4*t**4 + 1/2*t**3 - t**2 - 1/10*t**5 + 3 - 2*t. Factor k(a).
-(a - 2)**2*(a + 1)**2/2
Let v be (-5)/(-12) - 3/9. Let h(z) be the third derivative of 0*z + 0 - 1/30*z**5 + v*z**4 + 1/180*z**6 - 1/9*z**3 - 2*z**2. Factor h(f).
2*(f - 1)**3/3
Let u(v) be the second derivative of -1/75*v**5 - 1/45*v**4 - v + 1/15*v**2 + 0 + 1/315*v**7 + 1/45*v**3 + 1/225*v**6. Factor u(h).
2*(h - 1)**2*(h + 1)**3/15
Let g(i) = -5*i**2 + i. Let n(p) = -p**2 - p - 1. Let j(c) = -c - 1. Let h(q) = -j(q) + n(q). Let w(o) = 4*g(o) - 22*h(o). Factor w(x).
2*x*(x + 2)
Let j(w) = 16*w**4 + w**3 - 4*w**2 + 4*w. Let v(h) = 33*h**4 + 3*h**3 - 9*h**2 + 9*h. Let n be ((-6)/(-4))/((-3)/(-8)). Let l(z) = n*v(z) - 9*j(z). Factor l(g).
-3*g**3*(4*g - 1)
Factor 0 + 2/7*x - 1/7*x**2.
-x*(x - 2)/7
Let i(y) = 2*y**4 - 2*y**3 + 6*y**2 + 14*y - 8. Let j(s) = 2*s**4 - 3*s**3 + 6*s**2 + 13*s - 8. Let t(n) = -5*i(n) + 6*j(n). Factor t(l).
2*(l - 2)**2*(l - 1)*(l + 1)
Let l be 39/(-135) + (-1)/(-3). Let s = 28/45 + l. Solve -s*n**2 + 0 + 0*n + 0*n**3 + 2/3*n**4 = 0 for n.
-1, 0, 1
Suppose -i + 5*i - 8 = 0. Determine v, given that 6 - 4 + 2*v**i - 4*v**2 = 0.
-1, 1
Let z(y) = -6*y - 36. Let b be z(-6). Find i, given that -2/7*i**2 + 2/7*i + b = 0.
0, 1
Suppose 2*l - 6*l = 5*t - 3, 2*t - 2*l - 12 = 0. Factor -c - 2 + c**3 + 3 + 0*c**t - c**2.
(c - 1)**2*(c + 1)
Suppose 22*y = 26*y. Factor -2/3*d**2 - 2/3*d + y.
-2*d*(d + 1)/3
Suppose 7*k = -k + 2*k. Let v(g) be the third derivative of -1/6*g**3 + 1/120*g**5 - 4*g**2 + 1/48*g**4 + k*g + 0. Let v(l) = 0. Calculate l.
-2, 1
Let d be (-6)/(-20)*(55/(-3))/(-11). Suppose -d*u**3 + 0 - 9/2*u - 3*u**2 = 0. What is u?
-3, 0
Factor 3/2*l**2 - 3/2 + 0*l.
3*(l - 1)*(l + 1)/2
Let w = 10 + -9. Let u be 0*-1*(-2 + w). Factor u + 1/2*s**5 - 1/2*s + s**4 - s**2 + 0*s**3.
s*(s - 1)*(s + 1)**3/2
Suppose 0 = 4*r - r. Suppose r*o = -o. Find i such that 0 + 4/11*i**4 - 2/11*i**5 + o*i - 2/11*i**3 + 0*i**2 = 0.
0, 1
Let t(u) be the first derivative of u**5/30 + u**4/6 - u**2/2 + 2. Let o(w) be the second derivative of t(w). Find r, given that o(r) = 0.
-2, 0
Let l(t) be the first derivative of -3 + t + 1/2*t**4 - t**2 - 1/5*t**5 + 0*t**3. Let l(i) = 0. Calculate i.
-1, 1
Let n(b) = 3*b**2 - 27*b + 2. Let t be n(9). Suppose 1/2*x**3 + 0 + 0*x + 1/2*x**t = 0. What is x?
-1, 0
Let d(m) be the first derivative of 0*m + 1/90*m**5 + 2 + m**2 + 0*m**4 + 0*m**3. Let o(i) be the second derivative of d(i). Determine g so that o(g) = 0.
0
Let r be (-2)/7*(-280)/6. Factor 98/3*d**4 + 8/3 - 2*d**2 + 140/3*d**3 - r*d.
2*(d + 1)**2*(7*d - 2)**2/3
Let p(z) be the third derivative of z**8/168 - z**7/21 + 3*z**6/20 - 7*z**5/30 + z**4/6 + 10*z**2. Let p(d) = 0. Calculate d.
0, 1, 2
Let m(b) be the first derivative of 5*b**3/9 - 5*b**2/2 - 50*b/3 - 52. What is c in m(c) = 0?
-2, 5
Let g = 26 + -24. Let b be 45/20 - (3 + -1). Factor 1/4*c**g - 1/4*c - 1/4 + b*c**3.
(c - 1)*(c + 1)**2/4
Find w, given that 10 - w - 4*w**2 - 3*w + 3 - 5 = 0.
-2, 1
Let s(k) be the third derivative of k**8/672 - k**7/210 + k**6/240 + 24*k**2. Factor s(z).
z**3*(z - 1)**2/2
Let n(a) = 8*a - 8. Let o(z) = -z**2 + z. Let l(h) = -n(h) - 4*o(h). Let l(c) = 0. Calculate c.
1, 2
Suppose 3*q + 12 = 5*q. Solve q*p**2 - p - 6*p**3 + 0*p**3 - p + 2*p**4 = 0.
0, 1
Solve -8/7*d - 6/7 - 2/7*d**2 = 0.
-3, -1
Let q be (-4)/(-26) + (-228)/(-39). Let m be q/2 - 0/5. Suppose 6/5*j**m + 2/5*j**5 + 2/5*j**2 + 0*j + 0 + 6/5*j**4 = 0. Calculate j.
-1, 0
Factor 0*k**3 + 0*k + 2/3*k**2 + 0 - 2/3*k**4.
-2*k**2*(k - 1)*(k + 1)/3
Let l(g) be the third derivative of 2/39*g**3 + 0 + 2/195*g**5 + 1/780*g**6 + 5/156*g**4 + 0*g + 4*g**2. Factor l(h).
2*(h + 1)**2*(h + 2)/13
Let s = 89/4914 + 2/351. Let d(h) be the second derivative of 0*h**4 + 0 + 0*h**2 - 2*h + 0*h**6 - 1/10*h**5 + s*h**7 + 1/6*h**3. Determine z so that d(z) = 0.
-1, 0, 1
Suppose v = -0 + 14. Determine n, given that 3 + 3*n**3 - 5 - 2*n**2 + v*n**2 - 48*n**3 + 7*n = 0.
-2/5, 1/3
Let i = -72 + 291/4. Factor -i*o**5 - 9/2*o**4 - 3/2 - 27/4*o - 21/2*o**3 - 12*o**2.
-3*(o + 1)**4*(o + 2)/4
Let y be ((-1)/(-4))/((-5)/(-12)). Let o = -8 - -10. Suppose -y*f**o + 6/5*f + 0 = 0. Calculate f.
0, 2
Let f(y) = -y**3 - y + 2. Let r be f(0). Factor -56 - 2*x - 6*x**2 + 56 - r*x**4 - 6*x**3.
-2*x*(x + 1)**3
Let u = -3 + 8. Suppose 11 = 4*j - 2*o - u, 3*j - 5*o - 26 = 0. Suppose 2/3*p**j + 4/3*p + 2/3 = 0. What is p?
-1
Let l = -174 + 176. Factor 0 + l*k - 2/3*k**2.
-2*k*(k - 3)/3
Suppose -3*w + 13 = -2*m, -m + 6 = -4*m. Factor -2*i**3 + 5*i - i**2 - 3*i + i**w.
-i*(i - 1)*(i + 2)
Let -2/13*c + 2/13*c**3 + 0 + 0*c**2 = 0. What is c?
-1, 0, 1
Let a = -3/118 - -152/177. Let k be (-8 + 11)*(-3)/(-27). Let 7/6*s**2 - k + a*s = 0. Calculate s.
-1, 2/7
Let t(w) = -2*w**2 - 3*w + 2. Let m be t(0). Let l(n) be the first derivative of 1/4*n**4 + 0*n + 3 + 2/3*n**3 + 1/2*n**m. Factor l(b).
b*(b + 1)**2
Let r be 2/4*0 + 6. Let m(b) = b**3 - 2*b**2 + b + 1. Let a be m(2). Determine x so that 4 - 8*x + 4*x + r*x**2 - 10*x + 14*x**a - 10*x**4 = 0.
-1, 2/5, 1
Let r(z) be the second derivative of 3*z**5/40 - z**4/4 + z**3/4 - 25*z. Factor r(x).
3*x*(x - 1)**2/2
Let r(z) be the second derivative of 2*z**4/9 - 5*z**3/3 - 4*z**2/3 - 8*z. Factor r(w).
2*(w - 4)*(4*w + 1)/3
Let y = 10 - 6. Factor -6*w**3 - 7 + 5*w + 2*w**y + w + 3 + 2*w**2.
2*(w - 2)*(w - 1)**2*(w + 1)
Let d(b) = -2*b**2 + 6*b + 3. Let n(y) = -5*y**2 + 11*y + 7. Let u(h) = -7*d(h) + 3*n(h). Find o, given that u(o) = 0.
-9, 0
Factor 1/4*u**4 + 3/4*u**3 + 1/4*u + 0 + 3/4*u**2.
u*(u + 1)**3/4
Let -2/3*n**3 + 0*n**2 - 4/3*n**4 - 2/3*n**5 + 0 + 0*n = 0. What is n?
-1, 0
Let j(f) be the third derivative of -f**10/75600 + f**9/10080 - f**8/3360 + f**7/2520 + f**5/20 + 3*f**2. Let w(l) be the third derivative of j(l). Factor w(p).
-2*p*(p - 1)**3
Factor 2/7*a**2 + 0 + 1/7*a**3 - 1/7*a**4 + 0*a.
-a**2*(a - 2)*(a + 1)/7
Let l(h) be the second derivative of h**10/60480 - h**9/15120 + h**8/13440 + h**4/6 - 2*h. Let x(a) be the third derivative of l(a). Factor x(i).
i**3*(i - 1)**2/2
Let j(a) be the third derivative of a**5/12 + 5*a**4/2 + 30*a**3 - 32*a**2. Factor j(f).
5*(f + 6)**2
Let 6*q**2 - 3/2*q - 9 - 3/2*q**3 = 0. Calculate q.
-1, 2, 3
Let q(f) be the first derivative of 1/10*f**4 - 9 + 1/15*f**2 + 0*f - 2/15*f**3 - 2/75*f**5. Find r such that q(r) = 0.
0, 1
Let s(k) be the third derivative of -1/70*k**7 + 1/224*k**8 - 1/40*k**6 - k**2 + 0 + 1/2*k**3 - 7/16*k**4 + 0*k + 1/5*k**5. What is b in s(b) = 0?
-2, 1
Let a(t) be the second derivative of -t**5/20 + t**3/6 - 10*t. Factor a(u).
-u*(u - 1)*(u + 1)
Let n(w) be the second derivative of -w**4/42 + 4*w**3/21 - 4*w**2/7 + 11*w. Factor n(l).
-2*(l - 2)**2/7
Suppose 4*p = -4*b - 12, 2*p + 5*b + 33 = 6*p. Suppose 2*m = -5*a + 20, 0 = 2*m + 3*a - 16. Solve 3*j**5 - 2*j**m + p*j - 2*j**3 - j = 0.
-1, 0, 1
Let q be -5 + 1 + 0 + -3. Let l(z) = z**2 + 8*z + 10. Let p be l(q). What is v in -6*v**2 - v - 4*v**3 - 2*v**3 - 4*v**4 - 3*v**p = 0?
-1, -1/4, 0
Let z(i) = 4*i**4 + 4*i**3 + 7*i**2 - 3*i + 3. Let g(n) = n**4 + n**2 - n + 1. Let a(b) = 6*g(b) - 2*z(b). Factor a(o).
-2*o**2*(o + 2)**2
Let u(f) be the first derivative of 8/7*f + 2/21*f**3 + 4/7*f**2 - 3. Let u(d) = 0. Calculate d.
-2
Factor 0 - 3/4*w**3 + w + 0*w**2 + 1/4*w*