 49*l**2/15 + 42. Solve j(a) = 0.
-7, 0
Let s(z) be the third derivative of -z**6/40 - z**5/10 - z**4/8 + z**2. Suppose s(c) = 0. What is c?
-1, 0
Let r(d) be the second derivative of -d**6/600 + d**5/25 - 2*d**4/5 + 32*d**3/15 + 2*d**2 + 7*d. Let h(g) be the first derivative of r(g). Factor h(l).
-(l - 4)**3/5
Let u be (3 + -3)*(-3 + 16/6). Let l be 2 + 1 + (2 - 3). Factor -14 + u*g**2 - 17*g - 13 - 3*g**l - g.
-3*(g + 3)**2
Let d = 241/3 + -80. Find b such that -4/3 + d*b**4 + b**2 - 11/3*b**3 + 8/3*b + b**5 = 0.
-2, -1, 2/3, 1
Factor -6/11*u - 2/11*u**2 + 8/11.
-2*(u - 1)*(u + 4)/11
Suppose 3*o - a = -2 + 11, 0 = 2*a. Suppose 2*c - 9 = -o. Factor -3*g + 0 - 2*g**2 - 1/3*g**c.
-g*(g + 3)**2/3
Solve 2/9*k**3 - 2/9*k + 0*k**2 + 0 = 0.
-1, 0, 1
Let p(h) be the first derivative of -2*h**3/3 - 3. Solve p(z) = 0 for z.
0
Let a(v) = v + 14. Let o be a(0). Suppose 0 = 3*z - 1 - o. Find w such that -2/5*w**3 - 2/5*w**4 + 2/5*w**z + 2/5*w**2 + 0 + 0*w = 0.
-1, 0, 1
Let k(y) = y**3 + y**2 + y + 1. Let r(i) = 12*i**3 + 12*i**2 + 24*i + 16. Let p(a) = 16*k(a) - r(a). Factor p(o).
4*o*(o - 1)*(o + 2)
Factor -z**2 + z**4 - 5*z**4 - 8*z**3 - 3*z**2.
-4*z**2*(z + 1)**2
Suppose 0*v**5 + 5*v**4 + 20*v**2 + v**5 - 45*v**3 + 25*v**4 - 6*v**5 = 0. What is v?
0, 1, 4
Let l(u) = -2*u**3 + 20*u**2 - 46*u + 32. Let n(m) = m**2 + m. Let c(t) = 2*l(t) - 4*n(t). Factor c(j).
-4*(j - 4)**2*(j - 1)
Let m be (1 - 6/9)/1. Let k(a) be the first derivative of 2/9*a**3 - 2/3*a + 2 + 1/6*a**4 - m*a**2. Solve k(g) = 0.
-1, 1
Let p(o) be the second derivative of 0 + 1/12*o**3 - 1/32*o**4 + 1/240*o**5 + 2*o**2 + 2*o. Let w(l) be the first derivative of p(l). Factor w(g).
(g - 2)*(g - 1)/4
Let a(h) be the first derivative of -4/3*h**2 + 2/9*h**3 - 7 + 2*h. Factor a(w).
2*(w - 3)*(w - 1)/3
Let o(l) be the second derivative of 1/3*l**3 + 1/50*l**5 - 3*l + 0 - 2/5*l**2 - 2/15*l**4. Let o(s) = 0. What is s?
1, 2
Find f such that -24/7*f**4 + 0*f - 2/7*f**2 + 0 + 2*f**3 = 0.
0, 1/4, 1/3
Let g(m) be the third derivative of m**7/210 + 3*m**6/80 + m**5/8 + 11*m**4/48 + m**3/4 - 38*m**2. Factor g(h).
(h + 1)**3*(2*h + 3)/2
Solve -2/3*y**2 + 1/3*y**3 + 0 + 0*y = 0 for y.
0, 2
Let b be (-2)/3 + (-2)/(-3). Let w(c) be the second derivative of b*c**4 + 0*c**3 + 0*c**2 + 0 - 1/20*c**5 + 3*c. Suppose w(k) = 0. What is k?
0
Let g be 1/(-3)*(-16)/24. Let o(d) be the first derivative of -4 - 2/45*d**5 - 5/9*d**2 + 4/9*d + g*d**3 + 1/18*d**4. Factor o(q).
-2*(q - 1)**3*(q + 2)/9
Factor 0*n + 5/3*n**4 + 0 - 5/3*n**3 + 5/3*n**5 - 5/3*n**2.
5*n**2*(n - 1)*(n + 1)**2/3
Let w(c) = -4*c**3 - c**2 + 5. Let d(b) be the second derivative of b**5/20 - b**2/2 - b. Let u(q) = 10*d(q) + 2*w(q). Suppose u(l) = 0. Calculate l.
0, 1
Solve 0 - 1/4*y**5 + 0*y**2 + 0*y**4 + 0*y + 1/4*y**3 = 0 for y.
-1, 0, 1
Suppose -4*j + 2 = -6. Let y(z) be the first derivative of 1/20*z**4 + 1/10*z**2 - j - 2/15*z**3 + 0*z. Factor y(v).
v*(v - 1)**2/5
Let v be (-4)/3*(-81)/54. Suppose -2/5*r**v + 6/5*r - 4/5 = 0. What is r?
1, 2
Let m be (0 + 1)*2*1. Let s be m/8 - 22/(-8). Suppose -i**2 + i + 0*i + i**4 - 3*i**s + 2*i**5 + 0*i**3 = 0. Calculate i.
-1, 0, 1/2, 1
Let b(m) = 3*m + 2. Let v be b(0). Let t(n) be the second derivative of 0*n**3 + 0*n**2 - 1/18*n**4 + 0 + 1/30*n**5 + v*n. Factor t(o).
2*o**2*(o - 1)/3
Suppose 5*x - 20 - 5 = 0. Suppose 25 = 5*m, -2*o - 23 = -o - x*m. What is q in 3*q**3 + 2 + 0*q**2 - q**3 - 2*q**2 - o*q = 0?
-1, 1
Factor 33*r + 42*r**3 + 2*r**4 + 24*r**2 + 33*r**2 + 6 + 7*r**4 - 3*r**3.
3*(r + 1)**2*(r + 2)*(3*r + 1)
Let v(t) be the first derivative of -t**4/42 - t**3/7 + 8*t - 6. Let p(f) be the first derivative of v(f). Factor p(b).
-2*b*(b + 3)/7
Let b be 2/3 + (-14)/3. Let a(m) = -m**3 - 2*m**2 - m. Let p(v) = 5*v**3 + 10*v**2 + 5*v. Let f(h) = b*p(h) - 22*a(h). Determine q, given that f(q) = 0.
-1, 0
Let n(c) be the first derivative of 3*c**4/20 - 2*c**3/5 - 6*c**2/5 + 24*c/5 + 10. Solve n(u) = 0.
-2, 2
Let l(f) be the second derivative of -3*f**5/20 - f**4/4 + 8*f. Find p such that l(p) = 0.
-1, 0
Let b be (78/30 - 3) + 11/15. Let k(i) be the third derivative of 0 + 3*i**2 + 4/3*i**3 - b*i**4 + 0*i + 1/30*i**5. Factor k(m).
2*(m - 2)**2
Let j be (-182)/420 + 3/(-10)*-2. Let n(i) be the third derivative of -j*i**3 + 0*i**4 + 2*i**2 + 0*i + 0 + 1/60*i**5. Factor n(y).
(y - 1)*(y + 1)
Let o = -382 + 1914/5. Factor -2/5*j - o*j**2 + 2/5.
-2*(j + 1)*(2*j - 1)/5
Let j(b) be the second derivative of b**8/13440 - b**7/5040 - b**6/1440 + b**5/240 - b**4/4 + 3*b. Let k(g) be the third derivative of j(g). Factor k(t).
(t - 1)**2*(t + 1)/2
Find b such that 0 + 2/3*b - 7/3*b**2 + 3*b**3 - 5/3*b**4 + 1/3*b**5 = 0.
0, 1, 2
Let v(w) = -8*w**2 + 109*w + 117. Let o(i) = 52*i**2 - 708*i - 760. Let t(k) = 5*o(k) + 32*v(k). Solve t(s) = 0.
-1, 14
Let f(t) be the second derivative of -3*t**5/100 - t**4/10 - t**3/10 - 15*t. Find m, given that f(m) = 0.
-1, 0
Factor 1/2*u**2 + 3/2*u + 1.
(u + 1)*(u + 2)/2
Let w = -1041 - -75995/73. Let i = w - -132/511. Factor 0*r + 0*r**3 - 2/7*r**4 + i*r**2 + 0.
-2*r**2*(r - 1)*(r + 1)/7
Let p = -171/4 - -43. Factor 1/4 - p*c**2 + 0*c.
-(c - 1)*(c + 1)/4
Let g(y) be the second derivative of 0*y**2 + 0*y**3 + 1/10*y**5 + 5*y + 0 - 1/6*y**4. Let g(j) = 0. Calculate j.
0, 1
Let a(g) be the third derivative of 0*g + 0 + 1/60*g**6 + 1/24*g**4 + 1/30*g**3 + g**2 + 1/210*g**7 + 1/1680*g**8 + 1/30*g**5. Factor a(t).
(t + 1)**5/5
Let v(w) = 3*w**5 - 5*w**4 + 5*w**3 - w**2 - 2*w - 2. Let m(t) = -t**5 + t**4 - t**3 + t + 1. Let g(y) = -6*m(y) - 3*v(y). Suppose g(h) = 0. Calculate h.
0, 1
Factor -2*q**3 - 13*q + 10*q - 4*q**2 + q.
-2*q*(q + 1)**2
Let o(v) be the third derivative of -v**7/15120 - v**6/2160 - v**4/24 + 2*v**2. Let a(u) be the second derivative of o(u). Suppose a(f) = 0. What is f?
-2, 0
Let k(b) = 5*b**2 - 2*b - 1. Let l(a) = -a**2 - a - 1. Let d(c) = k(c) + 6*l(c). Factor d(q).
-(q + 1)*(q + 7)
Let p(u) be the second derivative of u**6/15 - 11*u**5/10 + 35*u**4/6 - 25*u**3/3 + 18*u. Factor p(m).
2*m*(m - 5)**2*(m - 1)
Let q be (-5)/30*4/(-200). Let g(t) be the third derivative of -1/50*t**5 + 0*t + 1/60*t**4 + 0 + 1/525*t**7 - t**2 - q*t**6 + 2/15*t**3. What is p in g(p) = 0?
-1, 1, 2
Let l(b) be the second derivative of 1/105*b**7 + 0 + 0*b**2 - b + 0*b**4 + 0*b**6 - 1/50*b**5 + 0*b**3. Factor l(y).
2*y**3*(y - 1)*(y + 1)/5
Let f be (-100)/(-80)*(-8)/(-5). Let o be 3/9*(-3)/(-4). Factor -1/4*v - o*v**f + 1/4 + 1/4*v**3.
(v - 1)**2*(v + 1)/4
Let x = -44 - -28. Let r be (5/20)/((-3)/x). Find v such that 2*v**3 - r*v**2 + 1/3*v**5 - 4/3*v**4 + 1/3*v + 0 = 0.
0, 1
Let p(z) be the second derivative of -2*z**4/15 - z**3/3 - z**2/5 + 3*z. Factor p(i).
-2*(i + 1)*(4*i + 1)/5
Let x(i) = -2*i**2 + 1 + 2 - 1 + 4*i + i**3 - 3*i**2. Let f be x(4). Factor 2*b**3 + b + 0 - 3*b + 2 - 2*b**f.
2*(b - 1)**2*(b + 1)
Let a = 30 + -26. Let z(j) be the third derivative of 2*j**2 - 1/20*j**5 + 0*j**3 + 0*j - 1/12*j**a + 0. Let z(f) = 0. What is f?
-2/3, 0
Suppose 3*x + 0*x = 3*d + 3, -2*d + 3*x - 6 = 0. Suppose -d*o = 5 - 14. Solve -2/3*w**4 - 4*w**2 + 8/3*w - 2/3 + 8/3*w**o = 0.
1
Let h(c) be the third derivative of c**8/21 + 2*c**7/21 - c**6/24 - 5*c**5/48 + 5*c**4/48 - c**3/24 - 15*c**2. Let h(y) = 0. Calculate y.
-1, 1/4
Let y(v) be the third derivative of v**5/210 + 5*v**4/84 + 2*v**3/7 - 30*v**2. Solve y(d) = 0 for d.
-3, -2
Let v be 18*3*(-4)/(-16). Let 1/2*h - 9/2*h**2 - 27/2*h**4 + v*h**3 + 0 = 0. Calculate h.
0, 1/3
Find w, given that 20/7*w + 50/7 + 2/7*w**2 = 0.
-5
Let u(g) be the first derivative of -4 + 2/3*g**3 + 2*g + 2*g**2. Suppose u(k) = 0. Calculate k.
-1
Let i(d) be the first derivative of -1 + 0*d**2 - 1/6*d**4 + 0*d**3 + d - 1/10*d**5. Let s(b) be the first derivative of i(b). What is r in s(r) = 0?
-1, 0
Let d be 144/15*(-12)/153. Let y = -6/17 - d. Factor 0 - 2/5*j**2 - y*j.
-2*j*(j + 1)/5
Let z(r) = -r**3 - r**2 - r + 1. Let c(w) = -28*w**3 + 158*w**2 + 41*w - 17. Let a(n) = -c(n) + 4*z(n). Factor a(f).
3*(f - 7)*(2*f + 1)*(4*f - 1)
Let d be ((-4)/(-28))/((-2)/(-12)). Let z = d + -4/7. Let 2/7*a**3 - 2/7*a + z*a**2 - 2/7 = 0. What is a?
-1, 1
Let s(h) be the third derivative of h**8/168 - h**6/20 + h**5/15 - 10*h**2. Let s(t) = 0. Calculate t.
-2, 0, 1
Factor 65*w - 2*w**2 - 