rst derivative of -4*u**3/15 + 2*u**2/5 + 8*u/5 + 1. Solve t(p) = 0.
-1, 2
Let h be 8/18*1/80. Let b(k) be the third derivative of 0*k**3 + 0*k**6 - 2*k**2 + 0*k + 0 - 1/630*k**7 + 0*k**4 + h*k**5. Factor b(y).
-y**2*(y - 1)*(y + 1)/3
Let d(z) be the second derivative of z**6/120 + 3*z**5/80 + z**4/48 - z**3/8 - z**2/4 - 19*z. Find f such that d(f) = 0.
-2, -1, 1
Suppose -2*f + 2 = -2. Determine y, given that -7*y**4 + f*y**4 - 8*y**3 + 0*y**2 - 4*y**2 - y**5 = 0.
-2, -1, 0
Let r = -8 - -11. Let a be ((-3 + r)/1)/(-2). Determine x, given that a - 10/3*x**2 - 2/3*x - 8/3*x**3 = 0.
-1, -1/4, 0
Let k be (-4)/6*(-2 - 1). Factor -6*q - 2*q**k + 6*q + 4*q**3 - 2*q**3.
2*q**2*(q - 1)
Let j(u) be the first derivative of -u**5/15 + u**4/2 - 4*u**3/3 + 4*u**2/3 - 9. Determine m, given that j(m) = 0.
0, 2
Let q(x) be the first derivative of -x**4/6 + 4*x**3/9 + x**2/3 - 4*x/3 + 1. Suppose q(i) = 0. What is i?
-1, 1, 2
Let g = 107 - 739/7. Let i = -119 + 835/7. Let i*z**3 - 4/7 + 2/7*z**4 - 6/7*z**2 - g*z = 0. What is z?
-1, 2
Factor -14/3*l**2 + 49/6*l**3 + 2/3*l + 0.
l*(7*l - 2)**2/6
Let n be (2 - 0) + (-72)/40. Solve 0 - 1/5*y**2 - n*y = 0 for y.
-1, 0
Suppose 0 = o + o. Suppose 1 = q - o*q. Factor -z**5 - z + q + 0*z**3 - 1 + 2*z**3.
-z*(z - 1)**2*(z + 1)**2
Suppose 0 = 2*p + 2*p - 72. Factor 6*x**3 + p*x + 0*x**3 + 14*x - 25*x**2 - 8 - x**2.
2*(x - 2)**2*(3*x - 1)
Let d(n) be the third derivative of -n**5/12 - 5*n**4/8 - 5*n**3/3 + 24*n**2. Factor d(r).
-5*(r + 1)*(r + 2)
Let s(y) be the first derivative of 2*y**5/5 + y**4 - 2*y**3/3 - 2*y**2 - 4. Factor s(w).
2*w*(w - 1)*(w + 1)*(w + 2)
Let i(m) be the second derivative of -1/120*m**6 + 0*m**2 + 0*m**4 + 1/80*m**5 + 0 + 0*m**3 - 3*m. Factor i(w).
-w**3*(w - 1)/4
Solve -8*o - 2*o**4 + 6*o**4 - 28*o**3 + 8*o**2 + 20*o**2 + 4*o**4 = 0 for o.
0, 1/2, 1, 2
Let r(l) be the second derivative of 3*l**6/5 + 21*l**5/5 + 26*l**4/3 + 22*l**3/3 + 3*l**2 - 4*l. Factor r(c).
2*(c + 1)*(c + 3)*(3*c + 1)**2
Let b(p) be the third derivative of 1/60*p**5 + 0*p**3 + 0 + 0*p**6 - 2*p**2 + 0*p**4 + 0*p - 1/210*p**7. Determine a, given that b(a) = 0.
-1, 0, 1
Factor -14*m - 81 + 81 + 44*m - 5*m**2.
-5*m*(m - 6)
Let v = 21/19 + -86/95. Find g, given that -4/5*g - v*g**2 - 3/5 = 0.
-3, -1
Let d(b) = b**2 - 7*b + 6. Let x be d(6). Suppose 0 = 3*c - 2*n - 22, 0 = -4*n + 4 - 24. Factor c*r**2 + r**3 + 2*r + x*r + r**3.
2*r*(r + 1)**2
Let m = 70 + -49. Let g be 5/m - (-18)/42. Suppose -8/3*b + g*b**2 + 8/3 = 0. Calculate b.
2
Factor -3/2*u**2 + 1/2*u**3 + u + 0.
u*(u - 2)*(u - 1)/2
Suppose 770 = -6*b + b. Let k be (-5 - -1)/(b/33). Find p, given that -18/7*p**3 - k*p**2 + 16/7*p + 8/7 = 0.
-2/3, 1
Let u(f) be the third derivative of -f**9/75600 + f**8/16800 - f**6/1800 + f**5/600 + f**4/12 - 3*f**2. Let x(l) be the second derivative of u(l). Factor x(o).
-(o - 1)**3*(o + 1)/5
Let x = 18 - 18. Factor -4/5*c**2 + 2*c**3 + 0 + x*c.
2*c**2*(5*c - 2)/5
Let s(l) be the first derivative of -16*l**5/45 + 10*l**4/9 - 4*l**3/3 + 7*l**2/9 - 2*l/9 + 1. Factor s(c).
-2*(c - 1)*(2*c - 1)**3/9
Let f = -11 - -13. Factor -6*i**3 - i**4 + 6*i**4 - 3*i**f + 5*i**2 - i**3.
i**2*(i - 1)*(5*i - 2)
Let y be -7 + 7 + (-18)/(-5). Factor 32/5*t**3 + y*t + 2/5 + 48/5*t**2.
2*(t + 1)*(4*t + 1)**2/5
Suppose 3/8*h**3 + 3/8*h**5 + 0*h + 0*h**2 + 3/4*h**4 + 0 = 0. Calculate h.
-1, 0
Let z be 0 + (6/3 - -1). Suppose 3*o = 2*o + z. Factor 0 - 2/9*q**o - 4/9*q**2 - 2/9*q.
-2*q*(q + 1)**2/9
Let o(w) be the second derivative of -22/135*w**6 + 1/27*w**4 + 0 + 0*w**2 - 1/90*w**5 + 1/9*w**7 - 4*w + 0*w**3. Solve o(q) = 0 for q.
-2/7, 0, 1/3, 1
Let w(y) = -3*y + 1. Let p be w(1). Let x be p + -1*(-22)/9. What is b in 2/9 - x*b**2 + 0*b**3 + 2/9*b**4 + 0*b = 0?
-1, 1
Let t(w) = w**2 + 6*w + 3. Let d be t(-7). Let p be 4/d + 16/10. What is q in 2 + 2*q**p - q - 2*q - q = 0?
1
Suppose 0 = q - 10*q. Suppose q*p**2 + 1/5*p**3 - 1/5*p + 0 = 0. What is p?
-1, 0, 1
Let o(r) be the second derivative of r**8/1680 - r**7/210 + r**6/90 + r**3/6 + 6*r. Let k(g) be the second derivative of o(g). Factor k(w).
w**2*(w - 2)**2
Let v(k) = 2*k - 1. Let s be v(2). Suppose 5*q**3 + q**5 - 2*q**s - 5*q**5 + q**3 = 0. What is q?
-1, 0, 1
Let a(y) be the second derivative of y**4/12 - y**3/2 + 3*y**2/2 - 9*y. Let b be a(3). Factor 0*d + 2/11*d**b - 2/11*d**2 + 0.
2*d**2*(d - 1)/11
Let x(h) be the third derivative of h**8/336 - 19*h**7/630 + h**6/8 - 49*h**5/180 + h**4/3 - 2*h**3/9 + 45*h**2. Suppose x(g) = 0. Calculate g.
1/3, 1, 2
Let z(o) be the third derivative of o**9/60480 - o**7/1260 - o**5/15 + 3*o**2. Let v(y) be the third derivative of z(y). Factor v(f).
f*(f - 2)*(f + 2)
Let o be (0/(-3) - 0)*-1. Suppose o = -h - h. Find j, given that 2*j**2 - 2*j**3 - 4*j**5 - j**4 - 1 + 5*j**5 + j + h*j**2 = 0.
-1, 1
Factor 2*b**2 + 14/5*b + 2/5*b**3 + 6/5.
2*(b + 1)**2*(b + 3)/5
Let k = 87 + -80. Let z(o) be the third derivative of -1/35*o**k - 1/30*o**5 + o**2 + 1/12*o**4 + 0*o**3 - 1/12*o**6 + 0 + 0*o. Factor z(x).
-2*x*(x + 1)**2*(3*x - 1)
Suppose -4*j = -7*j - 6. Let i be (j/5)/(12/(-15)). What is y in 1/4*y**2 + i*y**3 + 0*y + 0 + 1/4*y**4 = 0?
-1, 0
Let d(n) be the second derivative of n + 1/60*n**5 + 0 + 0*n**3 + 0*n**4 + 1/2*n**2. Let r(y) be the first derivative of d(y). Factor r(u).
u**2
Let h(b) be the third derivative of -b**5/30 + 5*b**4/72 - b**3/18 - 5*b**2. Suppose h(l) = 0. What is l?
1/3, 1/2
Let w(b) be the third derivative of -b**5/12 + 5*b**4/6 - 5*b**3/2 - 8*b**2. Find s, given that w(s) = 0.
1, 3
Let v(m) = m**4 + 3*m**3 + 3*m**2 - m - 2. Let t(k) = k**2 + k. Let a(c) = -2*t(c) + v(c). Find i, given that a(i) = 0.
-2, -1, 1
Let f(v) be the first derivative of -1/16*v**4 + 0*v + 6 + 1/8*v**2 + 0*v**3. Find s such that f(s) = 0.
-1, 0, 1
Let l(n) be the first derivative of -2*n**6/3 + 8*n**5/5 - n**4 + 8. Factor l(b).
-4*b**3*(b - 1)**2
Let b(x) be the first derivative of x**4/2 + 8*x**3/3 + 5*x**2 + 4*x + 1. Solve b(l) = 0 for l.
-2, -1
Let h be -12*3/(-2) - 2. Determine t, given that -5 - 8 + h - 3*t**2 = 0.
-1, 1
Let a = -24/19 + 302/209. Factor 2/11*t + a*t**2 + 0.
2*t*(t + 1)/11
Let m be 7/3 + 4*4/16. Let 10/3*n**3 + m*n**2 + 1/3 + 5/3*n**4 + 5/3*n + 1/3*n**5 = 0. Calculate n.
-1
Find y, given that -5/4*y**2 - 1 - 2*y - 1/4*y**3 = 0.
-2, -1
Factor 0*o - 2/9*o**2 - 1/9*o**4 + 0 - 1/3*o**3.
-o**2*(o + 1)*(o + 2)/9
Let u(j) be the third derivative of -j**6/540 + j**5/270 + j**4/54 + 16*j**2. Factor u(s).
-2*s*(s - 2)*(s + 1)/9
Let z(f) be the second derivative of -f - 1/2*f**2 + 0. Let v(w) = 3*w**2 + 9*w + 3. Let p(y) = v(y) - 3*z(y). Factor p(b).
3*(b + 1)*(b + 2)
Let v(l) be the first derivative of -l**9/1512 + l**8/420 - l**6/90 + l**5/60 + l**3/3 + 4. Let z(b) be the third derivative of v(b). What is r in z(r) = 0?
-1, 0, 1
Suppose 4*d = 6*g - 8*g, 5*d - 2*g = 18. What is w in -2/3*w - 1/3*w**d + 0 = 0?
-2, 0
Let v be -2 + 3 + 3 + -1. Factor 2/3*t**4 + 0 - 4/3*t**v + 0*t + 2/3*t**2.
2*t**2*(t - 1)**2/3
Let n be -23 + 0*2/4. Let c be 3 + n/5 - -2. Factor 4/5*a**2 - c*a**5 - 2/5 + 4/5*a**3 - 2/5*a - 2/5*a**4.
-2*(a - 1)**2*(a + 1)**3/5
Let z(g) = 3*g**3 + 5*g**2 + 3*g + 3. Let u(i) = 10*i**3 + 16*i**2 + 9*i + 10. Let j(o) = -6*u(o) + 21*z(o). Factor j(a).
3*(a + 1)**3
Let x(m) be the first derivative of -2/9*m**3 + 2/15*m**5 - 1 - 1/18*m**6 + 0*m + 1/6*m**2 + 0*m**4. Let x(h) = 0. What is h?
-1, 0, 1
Let u = 6 - 10. Let m be 6/u + 45/10. Solve -4*c**m - 2 + 4*c**5 + 3*c**2 + 4 + 6*c**4 - 11*c**2 = 0.
-1, 1/2, 1
Let d(s) = -7*s**4 + 7*s**3 + 13*s**2 - 19*s + 3. Let a(m) = -36*m**4 + 36*m**3 + 64*m**2 - 96*m + 16. Let c(v) = -3*a(v) + 16*d(v). Factor c(l).
-4*l*(l - 2)*(l - 1)*(l + 2)
Suppose 0 = -d + 3 - 1. Let f = 13 - 10. Factor -9*u**2 + u**f - u**5 + 9*u**d.
-u**3*(u - 1)*(u + 1)
Let f be (-2)/1*4/(-2). Factor -3*v**4 + 0*v**2 + 4*v**2 - 2 + v**f.
-2*(v - 1)**2*(v + 1)**2
Let p(c) be the third derivative of -c**8/40320 + c**5/30 - c**2. Let g(u) be the third derivative of p(u). Factor g(s).
-s**2/2
Let j = -50 + 102. Let f be (-1 - -4) + j/(-20). Factor f*s**3 + 0 + 4/5*s**2 + 2/5*s.
2*s*(s + 1)**2/5
Let q(r) be the first derivative of 2*r**3/21 + 2*r**2/7 + 2*r/7 + 10. Factor q(t).
2*(t + 1)**2/7
Let j(y) = -6*y**3 + 4*y**2 + 4. Suppose -5*p + 19 - 54 = 0. Let 