)*(x + 1)**2/5
Factor 150/7*t + 3/7*t**4 + 180/7*t**2 - 375/7 + 6*t**3.
3*(t - 1)*(t + 5)**3/7
Let s(v) be the second derivative of -v**4/24 - v**3/6 - v**2/4 - 32*v. Find o, given that s(o) = 0.
-1
Find y such that 0*y + 2/5*y**3 - 2/5*y**4 + 0 + 0*y**2 = 0.
0, 1
Factor 0 + 4/3*z**2 + 8/3*z.
4*z*(z + 2)/3
Let -1/7 + 1/7*l**2 + 3/7*l**3 - 3/7*l = 0. Calculate l.
-1, -1/3, 1
Let k(c) be the first derivative of -2*c**3/39 - 3*c**2/13 - 4*c/13 + 3. Factor k(u).
-2*(u + 1)*(u + 2)/13
Factor -10/3 - 4*y - 2/3*y**2.
-2*(y + 1)*(y + 5)/3
Let c be 10/(-12)*27/(-450). Let v(y) be the third derivative of 9/140*y**7 + c*y**5 + 3/16*y**6 - 5/12*y**4 + 3*y**2 + 0 + 0*y - 2/3*y**3. Solve v(p) = 0.
-1, -2/3, 2/3
Let n(c) be the second derivative of -c**5/50 + c**4/10 - c**3/5 + c**2/5 - 21*c. Suppose n(a) = 0. What is a?
1
Let l(x) be the second derivative of 0 + 0*x**4 + 1/35*x**5 - 1/147*x**7 - 1/105*x**6 + 0*x**3 - 6*x + 0*x**2. Factor l(y).
-2*y**3*(y - 1)*(y + 2)/7
Let x(w) be the third derivative of -3*w**8/784 + w**7/490 + w**6/56 - w**5/140 - w**4/28 - 5*w**2. Determine f so that x(f) = 0.
-1, -2/3, 0, 1
Let b(x) be the third derivative of 0*x - 1/280*x**7 - 1/448*x**8 + 1/80*x**5 + 0*x**3 + 2*x**2 + 0 + 0*x**4 + 1/160*x**6. Let b(t) = 0. Calculate t.
-1, 0, 1
Solve 0 - 1/5*x**3 + 0*x + 1/5*x**2 = 0 for x.
0, 1
Let l(h) be the second derivative of h**6/80 - h**4/32 + 16*h. Solve l(a) = 0.
-1, 0, 1
Let r(l) be the first derivative of -l**2 + 1/60*l**5 + 1 + 1/6*l**3 + 0*l - 1/12*l**4. Let i(u) be the second derivative of r(u). Factor i(g).
(g - 1)**2
Let y = 15 + -23. Let d be (-182)/(-40) - 2/y. Factor d*v**4 + 14/5*v**5 + 6/5*v**3 - 4/5*v**2 + 0 + 0*v.
2*v**2*(v + 1)**2*(7*v - 2)/5
Let k(g) be the first derivative of g**7/525 + g**6/300 - g**5/150 - g**4/60 - g**2 + 3. Let x(f) be the second derivative of k(f). Let x(v) = 0. What is v?
-1, 0, 1
Suppose 270 = -4*b - b. Let s be b/(-30) + (-1 - 0). Factor 0 + 2/5*g**4 - s*g**3 + 0*g + 2/5*g**2.
2*g**2*(g - 1)**2/5
Let p(o) = -o**2 - 5*o - 4. Let a be p(-4). Let d = 6121/5 - 1224. Factor 0 - 1/5*k**5 + a*k + 0*k**3 + 0*k**2 - d*k**4.
-k**4*(k + 1)/5
Let d = -2141/570 + 72/19. Let v(s) be the second derivative of -1/12*s**4 + 0*s**3 + 0*s**5 - 2*s + 0 + d*s**6 + 0*s**2. Suppose v(z) = 0. Calculate z.
-1, 0, 1
Let t(b) = -b**2 - 16*b. Let j be t(-16). Let f(l) be the second derivative of -1/12*l**4 + 2/3*l**3 - l - 2*l**2 + j. Factor f(u).
-(u - 2)**2
Suppose 31 = -a - 35. Let u be 1/3*a/(-55). Let -2/5*p**3 + 4/5*p + 0 + u*p**2 = 0. What is p?
-1, 0, 2
Let o(k) be the third derivative of k**6/120 + k**5/40 - k**4/4 - k**3 + k**2. Let l(y) be the first derivative of o(y). Factor l(b).
3*(b - 1)*(b + 2)
Let q(b) = -b + 1. Let r(d) = d**3 - d**2 - d**4 - 4*d + 2*d**3 + 4 + 2*d**3 - 3*d**3. Suppose 1 - 4 = 3*y. Let m(n) = y*r(n) + 4*q(n). Factor m(k).
k**2*(k - 1)**2
Let s(k) = -6*k**3 + 7*k**2 - 8*k. Let m(q) = -5*q**3 + 6*q**2 - 7*q. Let x(y) = -7*m(y) + 6*s(y). Determine a so that x(a) = 0.
-1, 0, 1
Let c(l) be the first derivative of 2*l**5/35 - 5*l**4/14 + 8*l**3/21 - 19. Factor c(h).
2*h**2*(h - 4)*(h - 1)/7
Let z be (-1)/((-211)/(-4)*-2). Let x = z - -404/1899. Factor 2/9*d**2 + x + 4/9*d.
2*(d + 1)**2/9
Let o(a) be the second derivative of 2*a**6/15 - 2*a**5/5 - a**4 + 8*a**3/3 + 8*a**2 + 8*a. Factor o(l).
4*(l - 2)**2*(l + 1)**2
Let w(o) = -o**2 - 5*o. Let f be w(-4). Suppose 4*h + 8 = -f*l, -h + 2*l + 4 = -0*h. Solve 0 + h*j - 1/4*j**5 + 0*j**2 - 1/4*j**3 + 1/2*j**4 = 0.
0, 1
Suppose 3/4*m**4 - 1/2*m + 0 - 5/4*m**2 + m**3 = 0. What is m?
-2, -1/3, 0, 1
Let q(d) be the second derivative of -d**6/420 + d**5/105 - d**2/2 + 2*d. Let k(g) be the first derivative of q(g). Factor k(s).
-2*s**2*(s - 2)/7
Suppose 0 = 3*a - 4*j - 16, -6*j + j = 20. Let s(u) be the third derivative of a + 1/210*u**5 - 1/84*u**4 - 3*u**2 - 2/21*u**3 + 0*u. Find k such that s(k) = 0.
-1, 2
Let l(q) be the first derivative of 11*q**3/3 - 5*q**2/2 + 2. Let o(v) = -7*v**2 + 3*v. Let n(h) = 5*l(h) + 8*o(h). Find d such that n(d) = 0.
-1, 0
Let j(r) be the third derivative of 1/36*r**4 - 1/18*r**3 - 1/180*r**5 + 0 + 0*r + 4*r**2. What is c in j(c) = 0?
1
Let -3/7*g**4 + 0 - 15/7*g**3 - 3*g**2 - 9/7*g = 0. What is g?
-3, -1, 0
Let r(u) be the third derivative of -u**6/180 + u**4/12 + 2*u**3/9 + 7*u**2. Find v, given that r(v) = 0.
-1, 2
Let c(l) be the first derivative of l**4/6 - 2*l**3/3 - 7*l - 5. Let r(o) be the first derivative of c(o). Factor r(d).
2*d*(d - 2)
Let f(k) be the second derivative of -k**5/60 + k**4/6 + 7*k**3/18 - 2*k - 29. Determine t, given that f(t) = 0.
-1, 0, 7
Let -3*d**2 - 23 + 3*d + 23 = 0. Calculate d.
0, 1
Suppose 8*f - 11*f = -9. Find x such that -2/3*x**f - 18*x + 18 + 6*x**2 = 0.
3
Let b(h) be the first derivative of -3/2*h**4 + 3*h**2 + 3/5*h**5 + 0*h**3 - 3*h + 4. Find l such that b(l) = 0.
-1, 1
Let w(h) be the first derivative of -h**4/5 + 8*h**3/3 - 34*h**2/5 + 32*h/5 - 38. Determine p, given that w(p) = 0.
1, 8
Let y(w) = -4*w**3 - 3*w**2 + 7*w - 3. Let z = -10 + 7. Let x(v) = 5*v**3 + 4*v**2 - 8*v + 4. Let u(i) = z*x(i) - 4*y(i). Factor u(g).
g*(g - 2)*(g + 2)
Let j(p) be the second derivative of 0 - 1/6*p**4 - 3*p - 16*p**2 + 8/3*p**3. Solve j(l) = 0 for l.
4
Let j(b) be the third derivative of 0 - 1/105*b**7 + 1/6*b**4 + 2*b**2 - 1/30*b**6 + 0*b**3 + 1/30*b**5 + 0*b. Let j(d) = 0. What is d?
-2, -1, 0, 1
Let u be (22 - 5) + (4 - 1). Let s be 95/u - 1/(-4). Factor -b + b**4 - 2/3*b**2 - 1/3 + 2/3*b**3 + 1/3*b**s.
(b - 1)*(b + 1)**4/3
Let p(s) be the third derivative of -1/27*s**4 + 0*s**3 + 0 - 1/540*s**6 + 0*s - 7*s**2 - 2/135*s**5. Solve p(g) = 0 for g.
-2, 0
Let k(l) be the third derivative of -l**7/7560 - l**6/2160 + l**5/180 - l**4/24 + 3*l**2. Let w(o) be the second derivative of k(o). Factor w(g).
-(g - 1)*(g + 2)/3
Let m = -9 + 17. Let a be (12/m + -1)*1. Factor -1/2 + 0*y**3 + y**2 + 0*y - a*y**4.
-(y - 1)**2*(y + 1)**2/2
Let x be 1/(-1)*(-77)/7. Factor -x*r - r**3 + 9*r + 5*r**2 - 2*r**2.
-r*(r - 2)*(r - 1)
Suppose 0 = u - 90 + 85. Let n(p) be the second derivative of 1/3*p**2 + 1/18*p**3 + u*p + 0 - 1/18*p**4 - 1/60*p**5. Factor n(c).
-(c - 1)*(c + 1)*(c + 2)/3
Let d(q) be the third derivative of 0 - 2/315*q**7 + 0*q**5 + 0*q - 3*q**2 + 0*q**4 - 1/180*q**6 + 0*q**3 - 1/504*q**8. Determine c, given that d(c) = 0.
-1, 0
Let h = -422 - -1270/3. Suppose -26/9*r**2 - 2/9*r**4 - 8/9 + 8/3*r + h*r**3 = 0. What is r?
1, 2
Let x(h) = -3*h**3 + 12*h**2. Let c(a) = 3*a**3 - 11*a**2. Let y(r) = 6*c(r) + 5*x(r). Find v such that y(v) = 0.
0, 2
Factor 48*z - 28*z - 3*z**2 - 26*z - 3.
-3*(z + 1)**2
Let r = -3 - -7. Factor -3*u**3 - u**5 + 3*u**4 + 6*u**r - 6*u**4 + u**3.
-u**3*(u - 2)*(u - 1)
Let x(n) = -n**2 - 9*n - 13. Let l be x(-6). Factor 1 - 2*a**2 - 2 + l + 2*a.
-2*(a - 2)*(a + 1)
Let s(a) be the third derivative of -a**9/15120 - a**8/1680 + a**6/45 - a**5/10 + 4*a**2. Let h(m) be the third derivative of s(m). Suppose h(j) = 0. What is j?
-2, 1
Let d(i) be the first derivative of -i**6/9 + 2*i**5/5 - i**4/3 - 4*i**3/9 + i**2 - 2*i/3 + 1. Factor d(p).
-2*(p - 1)**4*(p + 1)/3
Let l(f) be the second derivative of 0 + f + 1/90*f**5 + 1/54*f**4 + 0*f**3 + 0*f**2. Factor l(q).
2*q**2*(q + 1)/9
Let p(d) = 27*d + 246. Let q be p(-9). Solve 0 - 2/5*g + 2/5*g**q + 2/5*g**4 - 2/5*g**2 = 0.
-1, 0, 1
Let h(p) be the first derivative of p**4 - 2 + 0*p - 2/5*p**5 - 2/3*p**3 + 0*p**2. Factor h(q).
-2*q**2*(q - 1)**2
Let g(k) be the second derivative of -4*k + 1/12*k**4 + 0 + 1/6*k**3 - k**2. Solve g(u) = 0.
-2, 1
Solve 5*g - 3*g - 6*g + 4*g**2 = 0 for g.
0, 1
Let j(h) be the second derivative of -h**6/70 + 7*h. Find n such that j(n) = 0.
0
Let a(z) = -8*z**2 - 11*z - 3. Let k(u) = 3*u**2 - 3*u**2 + 2*u**2 + 2 + 2*u**2 + 6*u. Let d(p) = 2*a(p) + 5*k(p). Solve d(m) = 0.
-1
Let u(o) be the second derivative of 0 + 0*o**2 - 5/12*o**4 - 1/6*o**3 - 7/20*o**5 - 7*o - 1/10*o**6. Solve u(l) = 0.
-1, -1/3, 0
Solve -2/5*g - 4/5 + 2/5*g**2 = 0 for g.
-1, 2
Suppose -20*g - 16*g - 2*g**2 + 4*g**3 + 11*g**3 + 11*g**2 + 12 = 0. What is g?
-2, 2/5, 1
Let p(q) be the first derivative of -2*q**3/3 + 7*q**2 - 14*q - 4. Let v(r) = -r + 1. Let b(m) = p(m) + 6*v(m). What is y in b(y) = 0?
2
Let w(g) = -2*g**3 + 25*g**2 - 4