*4 - 86*r**4 + 14*r + 3*r**3 = 0?
1, 2
Let z be 8/(-6)*35/(-960). Let o(y) be the third derivative of 0*y - z*y**8 - y**2 + 1/15*y**6 + 0*y**3 - 1/30*y**7 + 0*y**4 - 1/45*y**5 + 0. Factor o(s).
-s**2*(s + 1)*(7*s - 2)**2/3
Factor 8/9*s**2 + 0 - 8/3*s**3 + 0*s + 10/9*s**4.
2*s**2*(s - 2)*(5*s - 2)/9
Let t(k) be the third derivative of -k**7/7560 - k**6/2160 + k**5/180 + k**4/12 - 4*k**2. Let u(z) be the second derivative of t(z). Factor u(o).
-(o - 1)*(o + 2)/3
Let l(f) be the second derivative of -f**7/840 + f**6/180 - f**5/120 + 2*f**3/3 - 6*f. Let i(x) be the second derivative of l(x). Factor i(r).
-r*(r - 1)**2
Let b(n) be the third derivative of n**6/360 - n**5/45 - 2*n**2. Factor b(r).
r**2*(r - 4)/3
Let d be 1*1*(-1)/(-27). Let x(q) be the third derivative of 1/270*q**5 + 0*q**4 + 2*q**2 + 0 + 0*q - d*q**3. Factor x(f).
2*(f - 1)*(f + 1)/9
Let p(u) be the second derivative of -u**7/336 + u**5/160 + 21*u. Solve p(f) = 0 for f.
-1, 0, 1
Factor 2/13*w**2 + 0 + 0*w.
2*w**2/13
Let h be (-8)/(-48)*908/2. Let v = -75 + h. Let 2/3 - 2/3*z**2 - v*z + 2/3*z**3 = 0. What is z?
-1, 1
Let m(z) = -4*z**2 + 13*z + 17. Let g be (-7)/1*(-3)/3. Let h(c) = 6*c**2 - 19*c - 25. Let l(v) = g*m(v) + 5*h(v). Solve l(u) = 0 for u.
-1, 3
Let f(l) be the second derivative of -1/60*l**5 + 2*l + 1/24*l**4 + 0 + l**2 + 0*l**3. Let k(m) be the first derivative of f(m). Find p, given that k(p) = 0.
0, 1
Let o(r) be the third derivative of -r**5/20 + 3*r**4 - 72*r**3 - 20*r**2. Factor o(w).
-3*(w - 12)**2
Let s(v) = -5*v**4 - v**3 + 4*v**2 - 6*v - 6. Let l(c) = -c**3 - c**2 - c - 1. Let m(g) = 6*l(g) - s(g). Factor m(o).
5*o**2*(o - 2)*(o + 1)
Let s(d) be the second derivative of d**6/30 - d**5/10 - d**4/3 + d**3/3 + 3*d**2/2 - 6*d. Find x, given that s(x) = 0.
-1, 1, 3
Factor 1/5*u**2 + 3/5*u + 2/5.
(u + 1)*(u + 2)/5
Let v = 4 - 3. Let k be (-5)/(-6) + v/(-2). Determine f, given that -11/3*f**3 - 3*f**2 - 4/3*f**4 - 1/3*f + k = 0.
-1, 1/4
Let t(k) be the second derivative of 0*k**3 - 1/90*k**6 + 0*k**2 - 1/30*k**5 - 2*k - 1/36*k**4 + 0. Solve t(a) = 0 for a.
-1, 0
Let p(k) = -k + 11. Let m be p(7). Suppose m*y = -6*t + 2*t + 16, 5*t = -2*y + 11. Factor f**3 - 2*f**3 - f**y + 2*f**4.
2*f**3*(f - 1)
Suppose -5*p = h + 36, -2*h - 2*p - 3*p - 52 = 0. Let r be (-21)/(-30)*h/(-28). Determine z, given that 2/5 - r*z**2 - 6/5*z**3 + 6/5*z = 0.
-1, -1/3, 1
Let z(u) be the first derivative of 2*u**3/15 - 3*u**2/5 + 9*u/10 - 6. Let z(s) = 0. What is s?
3/2
Let c(k) be the second derivative of k**5/50 - k**4/10 - k**3/15 + 3*k**2/5 - 18*k. Factor c(x).
2*(x - 3)*(x - 1)*(x + 1)/5
Factor 0 + 16*b**2 + 4*b + 0 - 18*b**2.
-2*b*(b - 2)
Let g = 911/14 - 65. Let b(a) be the first derivative of 1 + 0*a**3 + 0*a**2 + 0*a + g*a**4 + 0*a**5 - 1/21*a**6. Solve b(f) = 0.
-1, 0, 1
Let z(y) = 31*y**2 - 19*y - 31. Let u(m) = -6*m**2 + 4*m + 6. Suppose 2*h - 2*r = 2*r + 8, 2*r + 2 = 0. Let f(p) = h*z(p) + 11*u(p). Factor f(w).
-2*(w - 2)*(2*w + 1)
Let q(h) = h - 3. Let w be q(6). Determine o, given that -o**3 + o**4 - o**w + 1 + 2*o**3 - 2*o**2 = 0.
-1, 1
Let o(i) be the first derivative of 2*i**5/5 - 2*i**3/3 - 17. Find y, given that o(y) = 0.
-1, 0, 1
Let r(g) be the second derivative of 0 - 1/4*g**4 - 27/2*g**2 + 3*g**3 + g. Suppose r(l) = 0. What is l?
3
Let r(n) be the third derivative of -7*n**6/1440 + n**5/240 - n**3/2 + n**2. Let m(p) be the first derivative of r(p). Factor m(l).
-l*(7*l - 2)/4
Find g, given that -1/3*g**5 + 1/3*g**3 - 4/3 + 7/3*g**2 - g**4 + 0*g = 0.
-2, -1, 1
Let w(o) be the first derivative of -5*o**3/3 - 2*o**2 + 3*o + 3. Let y(j) = 9*j**2 + 7*j - 5. Let i(b) = 11*w(b) + 6*y(b). Determine k, given that i(k) = 0.
-3, 1
Let j(h) = 6 - 2*h - 2 - 7*h**2 - 2*h + 12*h**2 - h**3. Let f be j(4). Let -2*z**f + 6*z**3 - 3*z - z - 6*z**2 + 6*z = 0. What is z?
0, 1
Let b(m) be the first derivative of -m**3 + 3*m + 16. Factor b(a).
-3*(a - 1)*(a + 1)
Let q be (-12)/78 - 63/13. Let n be 75/60*(-1)/q. Find v, given that n*v**2 - v + 1 = 0.
2
Let y(p) = -4*p**2 + 84*p - 400. Let h(k) = 8*k**2 - 169*k + 800. Let u(g) = -4*h(g) - 9*y(g). Find b, given that u(b) = 0.
10
Let v(y) = 34*y**4 + 43*y**3 - 96*y**2 - 144*y - 41. Let t(r) = 11*r**4 + 14*r**3 - 32*r**2 - 48*r - 14. Let q(d) = -7*t(d) + 2*v(d). Factor q(c).
-(c - 2)*(c + 2)*(3*c + 2)**2
Factor 6/5*i**3 + 0 - 2/5*i**4 - 6/5*i**2 + 2/5*i.
-2*i*(i - 1)**3/5
Let p(i) be the first derivative of -2/27*i**3 + 0*i + 1/9*i**2 + 6 + 2/45*i**5 - 1/18*i**4. Factor p(s).
2*s*(s - 1)**2*(s + 1)/9
Let y(i) be the third derivative of -i**6/400 - i**5/120 - i**4/240 + i**3/60 - 9*i**2. Factor y(c).
-(c + 1)**2*(3*c - 1)/10
Let i(s) be the first derivative of s**6/420 - s**5/105 + s**4/84 - 3*s**2 + 3. Let q(z) be the second derivative of i(z). Determine g, given that q(g) = 0.
0, 1
Let n be (96/7)/3*(49 - 48). Let n + 16/7*y + 2/7*y**2 = 0. Calculate y.
-4
Let w(h) be the second derivative of 5*h**4/24 + 2*h**3/3 - h**2 + 5*h. What is u in w(u) = 0?
-2, 2/5
Let b(p) = -2*p**3 + 2*p**2 + p. Let m be b(-1). Let d = -3 - -5. Factor 0*n**d - 4 + 3*n + m + n**2 - 3*n**3.
-(n - 1)*(n + 1)*(3*n - 1)
Let v(k) = -k + 4. Let l be v(6). Let a = l - -4. Determine w so that -2*w**2 + 0 + a - 4*w - 4 = 0.
-1
Suppose 25 = 25*x - 20*x. What is r in 6/5*r**x + 0*r + 3/5*r**2 + 0*r**3 - 9/5*r**4 + 0 = 0?
-1/2, 0, 1
Let k(u) be the second derivative of -u**6/120 + u**5/20 - u**4/8 + u**3/6 - u**2/8 - 3*u. Determine w so that k(w) = 0.
1
Let v(c) be the first derivative of -c**3/6 - 9*c**2/8 - 9*c/4 + 4. Find l, given that v(l) = 0.
-3, -3/2
Factor 11/4*c + 21/4*c**2 + 17/4*c**3 + 5/4*c**4 + 1/2.
(c + 1)**3*(5*c + 2)/4
Let d be (7 + -8)*(-3 - -1). Suppose j = 3*j + 4*t + 8, -4 = d*t. Factor 0*u + 0*u**2 + 2/3*u**4 - 2/3*u**5 + 0 + j*u**3.
-2*u**4*(u - 1)/3
Factor 2/3*z**4 - 14/3*z + 6*z**2 + 4/3 - 10/3*z**3.
2*(z - 2)*(z - 1)**3/3
Let j(x) be the third derivative of 1/231*x**7 + 1/33*x**5 - 1/1848*x**8 + 0*x - 1/66*x**6 - 5/132*x**4 + 1/33*x**3 - 7*x**2 + 0. Factor j(d).
-2*(d - 1)**5/11
Let x = 3447/11 - 313. Factor 2/11*u**2 - x*u + 0.
2*u*(u - 2)/11
Let k(o) be the third derivative of -o**9/60480 + o**8/13440 - o**4/8 - 3*o**2. Let z(u) be the second derivative of k(u). Factor z(w).
-w**3*(w - 2)/4
Factor 0 + 8*z + 4/3*z**3 + 28/3*z**2.
4*z*(z + 1)*(z + 6)/3
Let i = -12 - -24. Suppose -x**3 - i*x + 0*x**3 - x**2 - 7*x**2 + 2*x**2 - 8 = 0. Calculate x.
-2
Let x(h) be the second derivative of -h**6/840 - h**5/105 - h**4/56 + h**2 + 5*h. Let y(i) be the first derivative of x(i). Solve y(m) = 0.
-3, -1, 0
Factor 1/2*i**4 - 1/2*i**2 + 0*i**3 + 0*i + 0.
i**2*(i - 1)*(i + 1)/2
Factor 2/7*y - 2/7*y**3 + 2/7*y**2 - 2/7.
-2*(y - 1)**2*(y + 1)/7
Let i(x) = 2*x - x**2 - 4 + 0*x**2 + 4. Let u be i(2). Let u*j**2 - 2/5*j**4 + 2/5*j**3 + 0*j + 0 = 0. Calculate j.
0, 1
Let c(b) be the third derivative of b**9/68040 + b**8/30240 - b**7/5670 + b**4/24 - 5*b**2. Let j(f) be the second derivative of c(f). Factor j(o).
2*o**2*(o - 1)*(o + 2)/9
Let r(q) = q**3 + 17*q**2 - 37*q + 19. Let b be r(-19). Find y such that b - 5/3*y**2 + 2/3*y - 2/3*y**3 + 5/3*y**4 = 0.
-1, 0, 2/5, 1
Let -4*k + 4*k**4 + 24*k**3 + 12*k - 8*k - 28*k**2 = 0. Calculate k.
-7, 0, 1
Let b(w) = -11*w**3 - 27*w**2 - 15*w + 1. Let f(n) = -21*n**3 - 53*n**2 - 29*n + 3. Let r(o) = 7*b(o) - 3*f(o). What is p in r(p) = 0?
-1, -1/7
Let a(i) be the first derivative of i**6/10 + 6*i**5/25 - 8. Let a(c) = 0. What is c?
-2, 0
Let g(r) be the first derivative of -r**6/5 + 4*r**5/25 + 3*r**4/10 - 4*r**3/15 + 35. Suppose g(v) = 0. Calculate v.
-1, 0, 2/3, 1
Factor -3/2*g**3 + 3*g**2 + 0 + 0*g.
-3*g**2*(g - 2)/2
Let z be (-105)/20*(-72)/135. Determine w, given that 2*w - z*w**2 + 4/5 = 0.
-2/7, 1
Let u = -7 + 7. Let j(y) be the second derivative of 0 + 1/4*y**4 + 0*y**5 + u*y**2 + 0*y**3 - 1/10*y**6 + 2*y. Suppose j(v) = 0. Calculate v.
-1, 0, 1
Let c(j) be the first derivative of 1/4*j - 1/4*j**2 + 1/12*j**3 + 2. Factor c(b).
(b - 1)**2/4
Suppose -4*t + 5*j + 9 + 6 = 0, 5*t = j + 3. Let u(g) be the third derivative of 0*g**3 - g**2 + 0 + 0*g + 1/84*g**4 - 1/420*g**6 + t*g**5. Factor u(w).
-2*w*(w - 1)*(w + 1)/7
Factor 8*q + q - q - 7*q - 2*q**2 + q**3.
q*(q - 1)**2
Let v = 79/104 + -1/104. Let j(c) be the first derivative o