rd derivative of -2/15*u**3 - 1/20*u**4 - u**2 - 1/150*u**d + 0 + 0*u. Factor p(y).
-2*(y + 1)*(y + 2)/5
Suppose 0 = 3*z - 7 - 2. Factor -3*x + 21*x**4 - 36*x + 6 - 38*x**2 + 119*x**2 - 69*x**z.
3*(x - 1)**3*(7*x - 2)
Suppose -20 = -4*o - g, -o - 2*g + 3*g = 0. Factor 10*r**2 + 2*r**5 - 4*r**4 - o*r**3 - 14*r + 4 + 0*r**5 + 6*r**2.
2*(r - 1)**4*(r + 2)
Factor 0 - 10/11*x**2 - 12/11*x - 2/11*x**3.
-2*x*(x + 2)*(x + 3)/11
Suppose 0 = b + 4*b. Suppose b = w - 6*w + 10. Solve -f + w*f - 3*f - 5*f**3 - 7*f**2 = 0.
-1, -2/5, 0
Let q(s) be the first derivative of 0*s - 1/5*s**3 + 7 - 3/10*s**2. Factor q(p).
-3*p*(p + 1)/5
Let a(i) = -i**2 + 2 + 4*i**3 - 5 + 4 - 3*i**3. Let k(y) = y**4 - 4*y**3 + 10*y**2 + y - 7. Let u(g) = -14*a(g) - 2*k(g). Find p, given that u(p) = 0.
-1, 0
Suppose -9/7*q - 6/7 + 12/7*q**3 + 6/7*q**2 - 3/7*q**5 + 0*q**4 = 0. What is q?
-1, 1, 2
Let a(u) be the second derivative of 1/40*u**5 + 0*u**2 + u + 0 - 1/12*u**4 + 1/12*u**3. Determine t so that a(t) = 0.
0, 1
Let k be 4/8 + 19/(-2). Let y be 5 + 2*k/6. Factor 0 + 2/3*o**3 + 4/3*o**y + 2/3*o.
2*o*(o + 1)**2/3
Factor 7*h**3 + 0*h**3 + 2 - 8*h**3 - 6*h + 6*h**2 - h**3.
-2*(h - 1)**3
Suppose 9*y + 19 = 19. Let i(j) be the first derivative of 3 + 3/2*j**4 + y*j + 3/5*j**5 + 0*j**2 + j**3. Factor i(q).
3*q**2*(q + 1)**2
Let b be 0 - ((-17)/(-51))/(-2 - -1). Suppose -1/3 - 1/6*a + 1/6*a**3 + b*a**2 = 0. Calculate a.
-2, -1, 1
Let y(l) = 7*l**3 - 2*l**2 - 7*l + 2. Let v(o) = -20*o**3 + 6*o**2 + 20*o - 6. Let c(n) = -6*v(n) - 17*y(n). Determine m, given that c(m) = 0.
-1, 1, 2
Let h(m) = -m**3 + m**2 + m + 23. Let g(b) = 0 + 1 - 4 + 0. Let j(i) = -24*g(i) - 3*h(i). Solve j(y) = 0.
-1, 1
Let f(b) be the second derivative of b**5/20 + b**4/12 - b**3/6 - b**2/2 - 6*b. Find v, given that f(v) = 0.
-1, 1
Factor -3/2*h**3 - h**4 + 0 + 0*h + 1/2*h**5 + 0*h**2.
h**3*(h - 3)*(h + 1)/2
Let -h + 7/2*h**2 - 9/2*h**3 - 1/2*h**5 + 5/2*h**4 + 0 = 0. Calculate h.
0, 1, 2
Find q, given that 3*q**2 + 5*q**2 + 3*q**3 - 14*q**4 - 27*q**3 = 0.
-2, 0, 2/7
Let s(l) = -l**3 + l**2 - l - 1. Let m(p) = -2*p**3 + 5*p**2 - 12*p - 8. Suppose -5 = 2*x - 3*y, -3*x + 5*y = -x + 7. Let w(a) = x*m(a) + 4*s(a). Factor w(d).
-(d - 2)*(d + 2)*(2*d + 1)
Let b be 6/(-4) + (-38)/(-24). Let j(l) be the second derivative of -b*l**3 + 0 - 1/8*l**2 - 2*l - 1/48*l**4. Determine d so that j(d) = 0.
-1
Factor 0*s**3 + 0*s**3 - 5*s**3 - 10*s**2 + 5*s**4.
5*s**2*(s - 2)*(s + 1)
Let y(q) be the second derivative of 1/30*q**4 + 0*q**2 + 0*q**3 - 2*q + 1/75*q**6 + 0 - 1/25*q**5. Factor y(m).
2*m**2*(m - 1)**2/5
Let x(j) = -2*j**2 - 2*j + 6. Let h = -13 + 9. Let n(p) = -p - 1. Let y(r) = h*n(r) + 2*x(r). Factor y(o).
-4*(o - 2)*(o + 2)
Let l(r) be the third derivative of r**8/840 + r**7/175 - r**6/50 - r**5/15 + 7*r**4/20 - 3*r**3/5 + 18*r**2. Let l(x) = 0. What is x?
-3, 1
Determine l so that -2/11*l**2 - 10/11*l - 8/11 = 0.
-4, -1
Let j(w) = 3*w**3 - 2*w**2 - w - 6*w**3 + 2*w**3. Let d be j(-2). Factor 5*p**3 + 28*p - 3 - 7 + d - 22*p**2.
(p - 2)**2*(5*p - 2)
Let f(k) = -12*k**3 + 2*k**2 + 12*k + 3. Let p(x) = -11*x**3 + 2*x**2 + 11*x + 2. Let r(z) = 4*f(z) - 5*p(z). Determine j, given that r(j) = 0.
-1, 2/7, 1
Let z = -554 - -556. Factor -1/3*t**3 - 1/3*t**z + 0 + 0*t + 2/3*t**4.
t**2*(t - 1)*(2*t + 1)/3
Let w(l) be the third derivative of 1/525*l**7 + 0*l**4 + l**2 + 0*l**3 - 1/300*l**6 + 1/840*l**8 + 0 - 1/150*l**5 + 0*l. Factor w(x).
2*x**2*(x - 1)*(x + 1)**2/5
Let z = 4 - 1. Find h, given that -2*h**3 + 0*h**3 + z*h**3 = 0.
0
Suppose -32 + 31*j - 24*j**2 + 26*j + 4*j**3 - 9*j = 0. Calculate j.
2
Let o(l) be the second derivative of -5*l**7/147 + l**6/15 + 13*l**5/70 - 11*l**4/42 - 8*l**3/21 + 4*l**2/7 - 33*l. Determine b so that o(b) = 0.
-1, 2/5, 1, 2
Let z(o) be the second derivative of 5*o**4/12 - 5*o**3/3 - 15*o**2/2 + 5*o. Factor z(p).
5*(p - 3)*(p + 1)
Let z be 0/(1 + 2) - -5. Let p = z - 3. Factor j**3 + 0*j**p + 4*j**2 - 5*j**2.
j**2*(j - 1)
Let y be (-3)/9 + (-14)/(-6). Let c = -9 - -9. Find k such that 0*k**y + c*k**2 + 2*k**3 = 0.
0
Let k(g) be the third derivative of -8*g**2 - 1/6*g**4 - 1/30*g**6 + 0 + 0*g + 0*g**3 + 2/15*g**5. Factor k(t).
-4*t*(t - 1)**2
Let b(t) = 5*t**2 - 5. Suppose -l + 14 = -4*l + 5*k, 0 = 2*l + 3*k - 16. Let g(h) = 0*h**l + 0*h**2 + 3*h**2 - 3. Let v(x) = 5*b(x) - 8*g(x). Factor v(p).
(p - 1)*(p + 1)
Let j be (3/(-2))/3*0. Let f(a) be the first derivative of -9/4*a**4 + 1/2*a**2 - 2/3*a**6 + j*a - 11/5*a**5 + 1 - 1/3*a**3. Factor f(t).
-t*(t + 1)**3*(4*t - 1)
Let v(c) = -4*c - 8. Let u be v(-2). Factor -1/3*a**4 + 0*a - 1/3 + 2/3*a**2 + u*a**3.
-(a - 1)**2*(a + 1)**2/3
Let o(s) = -s**3 + 12*s**2 - 11*s. Suppose -5*a + 4*f = -71, a - 3*f = f + 27. Let i be o(a). Suppose i*m**2 + 4/3*m**3 + 2/3*m**4 - 4/3*m - 2/3 = 0. What is m?
-1, 1
Let b(u) be the third derivative of 1/20*u**6 + 0 + 4*u**2 + 0*u + 1/112*u**8 - 3/70*u**7 + 1/2*u**3 + 1/10*u**5 - 3/8*u**4. Factor b(w).
3*(w - 1)**4*(w + 1)
Let c be 8/(-5) - (-22)/11. Let l = 8/95 - -6/19. What is g in l*g**5 - 4/5*g**3 - 2/5*g**4 + 4/5*g**2 + 2/5*g - c = 0?
-1, 1
Let z be 1/((-20)/(-16) + 1 - 2). Suppose -4/3*h**z - 1/3*h**5 - 1/3*h + 0 - 4/3*h**2 - 2*h**3 = 0. Calculate h.
-1, 0
Let r(a) be the first derivative of a**4/4 - 5*a**3/3 + 3*a**2 - 6*a - 4. Let i be r(4). Solve 0*f + 2/3*f**i + 0 = 0.
0
Let o = -53/10 - -11/2. Determine p so that o*p**2 + 1/5*p + 0 = 0.
-1, 0
Let t = 15 + -9. Find i, given that 2*i**3 - i - 1 + 4*i**2 + i**4 - i**5 + 2 - t*i**2 = 0.
-1, 1
Suppose 0 = -7*s + 10*s. Let g(b) be the second derivative of -1/6*b**3 - 3*b - 1/24*b**4 + 0*b**2 + s. Factor g(o).
-o*(o + 2)/2
Let r(a) be the first derivative of -6 + 0*a + 1/2*a**6 + 3*a**2 - a**3 - 9/4*a**4 + 3/5*a**5. Let r(f) = 0. Calculate f.
-2, -1, 0, 1
Let p(o) be the first derivative of -o**6/48 + o**5/40 + o**4/16 - o**3/12 - o**2/16 + o/8 - 28. Solve p(z) = 0 for z.
-1, 1
Let n(z) = -6*z + 18. Let a be n(3). Suppose 0*y + 1/4*y**4 + 0 + a*y**2 + 0*y**3 = 0. What is y?
0
Let n be (-3 - (-7)/1) + 2. Let t(h) be the third derivative of 0 + 0*h + 1/108*h**4 + h**2 + 0*h**3 - 1/90*h**5 + 1/180*h**n - 1/945*h**7. Factor t(o).
-2*o*(o - 1)**3/9
Let s(a) be the second derivative of -5*a**4/24 + 11*a**3/12 - a**2/2 - a. Factor s(m).
-(m - 2)*(5*m - 1)/2
Solve -2 + 0*n - 6*n**3 + 6 + 6*n - 8*n**2 + 4*n**2 = 0 for n.
-1, -2/3, 1
Let o = 51 - 49. What is f in 0*f**o + 0 + 2/5*f - 2/5*f**3 = 0?
-1, 0, 1
Factor 4 + 10*u**2 - 4 + 3*u - 11*u**2.
-u*(u - 3)
Let r(b) be the first derivative of -3 - 1/2*b**2 - 5/2*b**3 + 0*b - 3*b**4 + 8/5*b**5. Factor r(x).
x*(x - 2)*(4*x + 1)**2/2
Factor 15/2*r + 6*r**2 + 3/2*r**3 + 3.
3*(r + 1)**2*(r + 2)/2
Let 36*t**3 + 14*t**2 + 18*t**4 + 2*t**2 + 9*t + 14*t**2 + 3*t**5 = 0. Calculate t.
-3, -1, 0
Let p(z) = 2*z + 0 + 7*z**2 + 3 - z**3 - 8*z + 0*z**3. Let q be p(6). Factor 0 + 0*t + 2/9*t**q - 2/9*t**2.
2*t**2*(t - 1)/9
Let w(z) = 4*z**2 - z - 1. Let h be ((-1)/(-3))/(3/(-9)). Let j be w(h). Solve 3*v**5 + 0*v**3 + 2*v**3 + j*v**4 - v**5 + 0*v**5 = 0 for v.
-1, 0
Let y(f) be the second derivative of f**4/4 - f**3 + 3*f**2/2 + 7*f. Solve y(h) = 0 for h.
1
Let x(c) be the second derivative of -c**4/3 - 8*c**3/3 - 8*c**2 + 13*c. Find j such that x(j) = 0.
-2
Let l(p) = -21*p**2 - 29*p + 11. Let s(n) = -10*n**2 - 14*n + 6. Let v(d) = -6*l(d) + 13*s(d). Factor v(z).
-4*(z - 1)*(z + 3)
Let g = 25/6 + -4. Let n(t) be the first derivative of -g*t**3 - 3/10*t**5 - 1/12*t**6 + 0*t - 3/8*t**4 + 0*t**2 + 1. Factor n(q).
-q**2*(q + 1)**3/2
Let s(k) be the first derivative of -1/2*k**4 + 0*k + 4 - 2/27*k**6 + 10/27*k**3 - 1/9*k**2 + 14/45*k**5. Factor s(x).
-2*x*(x - 1)**3*(2*x - 1)/9
Let v = 4 - 2. Suppose -v - 55*r**2 + 0 + 25*r**3 + 1 - 8 + 39*r = 0. What is r?
3/5, 1
Suppose 7*x - 26 = -5. Let j(p) be the second derivative of 0 + 3/16*p**4 - 1/2*p**3 - x*p + 1/2*p**2. Factor j(i).
(3*i - 2)**2/4
Let f(z) be the first derivative of -1/60*z**6 + 1/3*z**3 - 1/30*z**5 + 0*z - 3/2*z**2 - 1 + 1/12*z**4. Let a(u) be the second derivative of f(u). Factor a(h).
-2*(h - 1)*(h + 1)**2
Let w(r) be the second derivative of -r**7/252 - r**6/36 - r**5/12 - 5*r**4/36 - 5*r**3/36 - r**2/12 + 3*r. Factor w(k).
-(k + 1)**5/6
Let s(l) be the second derivative of l**7/84 