 - 1/2*l**3 + 0*l**2 + x = 0?
-1, 0, 1
Factor -7*y**3 + 541464 + 15*y**3 - 4*y**3 - 2319576 + 63504*y - 756*y**2 - y**3.
3*(y - 84)**3
Let g(o) be the third derivative of o**11/332640 + o**10/151200 - o**9/10080 - o**5/15 + 4*o**2. Let t(b) be the third derivative of g(b). Factor t(n).
n**3*(n - 2)*(n + 3)
Let o(d) be the first derivative of d**8/924 - d**7/1155 + 19*d**2/2 + 30. Let t(u) be the second derivative of o(u). What is f in t(f) = 0?
0, 1/2
Let m be (-115)/(-50) + 9/(-30). Let q(j) be the third derivative of -13*j**m - 2/21*j**3 + 0 + 1/12*j**4 + 3/70*j**5 + 0*j. Factor q(u).
2*(u + 1)*(9*u - 2)/7
Factor 0*c**2 - 10*c**3 + 0*c + 0 + 5/2*c**4.
5*c**3*(c - 4)/2
Factor 32/5 - 24/5*a**2 + 4/5*a**3 + 4/5*a**4 - 16/5*a.
4*(a - 2)*(a - 1)*(a + 2)**2/5
Let o(m) = m**3 - 9*m**2 + 12*m - 27. Let v be o(8). Let j(g) be the first derivative of -4 + 0*g + 5/3*g**3 - 1/2*g**4 - g**v + g**2. Factor j(l).
-l*(l - 1)*(l + 1)*(5*l + 2)
Suppose -3/4 - c**2 - 13/4*c = 0. Calculate c.
-3, -1/4
Factor 141*s**4 - 4*s + 78*s**3 + 30*s**5 - 55*s**4 - 2*s**5 + 18*s**2 + 2*s**5.
2*s*(s + 1)**3*(15*s - 2)
Suppose 2*h + 2 = -2. Let g be 3 - 3 - h*2. Solve 3*j - 12*j**4 - g*j**3 + 2*j**2 - 4*j**5 + 5*j + 2*j**2 + 8*j**2 = 0 for j.
-2, -1, 0, 1
Let -37*b**4 + 42*b**4 - 20*b**2 - 16*b**3 - 9*b**4 - 8*b = 0. Calculate b.
-2, -1, 0
Let p = 1924 + -1920. What is c in -3/8*c**p + 0 + 0*c + 0*c**2 + 5/8*c**5 - 1/4*c**3 = 0?
-2/5, 0, 1
Suppose 2*t + 4*k - 4 = 16, 4*k - 4 = 2*t. Let b = 8 - t. Factor 0*p**3 - 12*p + 12*p - 3*p**2 - 3*p**b + 6*p**3.
-3*p**2*(p - 1)**2
Factor -415 + 213 - 39*q + 202 + 3*q**2.
3*q*(q - 13)
What is x in -4/5*x + 62/15*x**2 + 8/15*x**5 - 2/15*x**4 - 56/15*x**3 + 0 = 0?
-3, 0, 1/4, 1, 2
Suppose 0 = 2*c - 0*c + 2*q + 2318, 0 = -5*c - 3*q - 5801. Let v = -15098/13 - c. Let -6/13*t**2 + 8/13 - v*t = 0. Calculate t.
-2, 2/3
Let r(i) be the second derivative of -1/240*i**6 - 9*i + 0 - 1/48*i**4 + 1/2*i**2 - 1/60*i**5 + 0*i**3. Let a(y) be the first derivative of r(y). Factor a(o).
-o*(o + 1)**2/2
Factor -106*s**2 + 10*s**3 - 22/5 - 218/5*s.
2*(s - 11)*(5*s + 1)**2/5
Let p(z) be the first derivative of -2*z**6/9 + 8*z**5/5 + 8*z**4/3 - 8*z**3/3 - 14*z**2/3 + 65. Solve p(w) = 0 for w.
-1, 0, 1, 7
Let c(h) be the first derivative of h**4/38 - 10*h**3/57 - h**2/19 + 10*h/19 - 113. Factor c(w).
2*(w - 5)*(w - 1)*(w + 1)/19
Let l(q) be the second derivative of 0*q**4 + 2/7*q**2 + 0 - 2/105*q**6 - 4/21*q**3 + 17*q + 2/35*q**5. Factor l(n).
-4*(n - 1)**3*(n + 1)/7
Let s(l) = -483*l + 10147. Let x be s(21). Suppose 5/6*d + 10/3*d**2 + 15/2*d**5 + 0 - 10*d**x - 5/3*d**3 = 0. Calculate d.
-1/3, 0, 1
Let b(p) = p**3 - 7*p**2 + 2. Let z be b(7). Factor -2*s**5 + 128*s + 3*s**5 - 123*s - 10*s**z - 1 + 10*s**3 - 5*s**4.
(s - 1)**5
Suppose 6*i - 8*i + 3*s = -9, 4*i - 2*s - 14 = 0. Let c = 124 - 124. Factor c + 0*q**i + 3*q**4 + 0*q**2 + 0*q + 9/2*q**5.
3*q**4*(3*q + 2)/2
Let x(n) be the third derivative of 8/3*n**3 - 1/5*n**5 + 2/15*n**6 + 0 - 3*n**2 + 0*n - 2/3*n**4 - 2/105*n**7. Solve x(p) = 0 for p.
-1, 1, 2
Let l(s) be the second derivative of -s**5/5 - 13*s**4/12 - 2*s**3/3 + 6*s**2 - 4*s - 8. Factor l(o).
-(o + 2)**2*(4*o - 3)
Solve 4*a**3 - 7*a**2 - 64*a - 91*a + 169*a + 23*a**2 + 24 - 58*a = 0 for a.
-6, 1
Let o(p) be the second derivative of 5/42*p**7 - 1/2*p**5 - 5/6*p**4 + 0 - 4*p + 5/6*p**3 + 5/2*p**2 + 1/6*p**6. Factor o(w).
5*(w - 1)**2*(w + 1)**3
Let n(w) be the third derivative of 1/4*w**4 + 10*w**2 + 0 + 5/21*w**3 + 4/35*w**5 + 0*w + 1/105*w**6. Determine f, given that n(f) = 0.
-5, -1/2
Let x(i) be the first derivative of -i**7/14 + i**6/10 - 11*i - 7. Let b(v) be the first derivative of x(v). Determine s so that b(s) = 0.
0, 1
Let p be 98/21 + 55/(-33). Let l(y) be the third derivative of -3*y**2 + 1/300*y**5 + 0*y + 0 + 1/24*y**4 + 2/15*y**p. Factor l(d).
(d + 1)*(d + 4)/5
Let v(k) be the third derivative of -k**8/672 + k**7/60 - 17*k**6/240 + 17*k**5/120 - k**4/8 - 156*k**2. Solve v(m) = 0 for m.
0, 1, 2, 3
Let s = -2/875 + -16613/5250. Let v = s - -10/3. Factor -v*b**3 + 2/3 - 4/3*b + 5/6*b**2.
-(b - 2)**2*(b - 1)/6
Suppose 14*t + 97 = 643. Suppose -t*u - 25 = -44*u. What is s in 2*s**3 - 2/5 - s + 4/5*s**2 - s**u - 2/5*s**4 = 0?
-1, -2/5, 1
Let v(i) = i**2 + 10*i - 8. Let x be v(-11). Factor -6*n**3 + 12*n - 4 - 3*n**3 + n**x - 4*n**3 + 4*n**2.
-4*(n - 1)*(n + 1)*(3*n - 1)
Suppose 1/5*j**3 - 39/5 + 3*j**2 + 23/5*j = 0. What is j?
-13, -3, 1
Let o = -8 - -13. Suppose -19 = -v - 4*f, -23 = -v - 4*v - 2*f. What is a in 0 - 3*a**2 + 4*a**v + 14*a + 1 - o - 11*a**2 = 0?
1/2, 1, 2
Let c(x) be the first derivative of 0*x**4 - 2 + 0*x**2 + 1/2*x**3 - 3/20*x**5 - 5*x. Let t(z) be the first derivative of c(z). Solve t(h) = 0.
-1, 0, 1
Let y(r) be the second derivative of r**4/16 - 23*r**3/8 + 63*r. Solve y(m) = 0 for m.
0, 23
Determine g, given that 0 - 78/5*g**2 + 6/5*g**3 + 72/5*g = 0.
0, 1, 12
Let t(l) = 8*l**3 - 5*l**2 + 8*l - 4. Let o(v) = v**3 + 2*v**2 - 2*v**2. Suppose 45*g - 21 = -651. Let z(n) = g*o(n) + 2*t(n). Solve z(a) = 0 for a.
1, 2
Suppose -11 = -4*w + j, 3*w + 4*j - 8*j = 18. What is p in 2*p**2 + 6*p**2 - 10*p**w = 0?
0
Let x be -1 - ((-120)/42 - -1). Suppose 0*p + x*p**3 + 2/7*p**4 + 0 + 4/7*p**2 = 0. Calculate p.
-2, -1, 0
Let y = -7245 - -21743/3. Factor -7/3*w**3 - 38/3*w + y + 37/3*w**2.
-(w - 4)*(w - 1)*(7*w - 2)/3
Let o(d) = d**2 + 12*d - 49. Let c be o(-15). Let z be ((-45)/10 - c)/(-1). Factor 0 - 2*s**4 + 3/2*s**3 + 0*s + z*s**2.
-s**2*(s - 1)*(4*s + 1)/2
Let v(p) be the third derivative of -11/24*p**6 - 5/24*p**4 + 0*p + 5/42*p**7 + 7/12*p**5 - 18*p**2 + 0 + 0*p**3. Factor v(k).
5*k*(k - 1)**2*(5*k - 1)
Let w(u) = -8*u - 15. Let h be w(-10). Let -4*p**2 + 5*p**2 + 7*p**2 + h*p - 5*p**3 + 35 + 17*p**2 = 0. Calculate p.
-1, 7
Factor -7/4*g**3 + 0 + 0*g - 1/4*g**5 + 5/4*g**4 + 3/4*g**2.
-g**2*(g - 3)*(g - 1)**2/4
Let r(i) be the first derivative of -2/3*i**2 - 10/9*i**3 + 9 - 14*i - 1/4*i**4. Let w(x) be the first derivative of r(x). Factor w(q).
-(q + 2)*(9*q + 2)/3
Let r(j) be the second derivative of -1/84*j**4 + 17*j - 18/7*j**2 + 0 + 2/7*j**3. Factor r(c).
-(c - 6)**2/7
Let l(c) be the third derivative of c**8/448 - 13*c**7/840 + c**6/96 + 5*c**5/48 - c**4/12 - c**3/2 - 610*c**2. Solve l(y) = 0 for y.
-1, -2/3, 1, 2, 3
Let o be (16/22)/4 + 124/44. Let g(k) be the third derivative of -1/120*k**5 + 0 - 8*k**2 + 0*k + 1/24*k**4 - 1/12*k**o. Factor g(x).
-(x - 1)**2/2
Let q be 10*(26/(-10) + 3). Let j(a) be the first derivative of -1/2*a**q - 2/3*a**3 - 2 + 2/5*a**5 + a**2 + 0*a. Determine y, given that j(y) = 0.
-1, 0, 1
Suppose -2 = 19*g - 20*g. Find a, given that 0 + 8/3*a**4 - a**5 + 1/3*a - 2*a**3 + 0*a**g = 0.
-1/3, 0, 1
Let x be (-66)/(-4) + (-13)/26. Factor -x*s**2 - 14*s - 2*s**3 - 11*s - 7*s.
-2*s*(s + 4)**2
Suppose 5*h - 98 = -38. Let g be 78/h + -4 + -2. Suppose 0*y**4 + 0*y**2 + 1/2*y**5 - g*y**3 + 0 + 0*y = 0. Calculate y.
-1, 0, 1
Let p(c) be the third derivative of -c**7/90 - 1111*c**6/360 - 6519*c**5/20 - 1025285*c**4/72 + 148877*c**3/9 + 143*c**2. Find x, given that p(x) = 0.
-53, 2/7
Let p be (-135)/18*(-4)/(-6). Let o(x) = -2*x - 8. Let k be o(p). Find w such that -18*w + 46*w**2 - 10*w + 4 + 3*w**k = 0.
2/7
Let r(f) be the second derivative of -1/2*f**3 + 1/14*f**7 + 1/5*f**6 - 2*f - 1/2*f**4 + 0*f**2 + 0*f**5 + 0. Let r(z) = 0. What is z?
-1, 0, 1
Let p(t) be the second derivative of t**7/63 - 2*t**6/15 + 2*t**5/5 - 5*t**4/9 + t**3/3 - 238*t. Let p(d) = 0. What is d?
0, 1, 3
Suppose -3*i - 3 = -b, 3*b - 9 = 3*i - 2*i. Solve 4*y**b - 4*y**4 - y**2 - 2*y**3 + 3*y**4 = 0.
0, 1
Let f = 19/120 - 1/8. Let j(g) be the third derivative of -1/24*g**4 + 0*g - 1/3*g**3 + 0 - 5*g**2 + 1/120*g**6 + f*g**5. Factor j(d).
(d - 1)*(d + 1)*(d + 2)
Let k = 1339/114 - 220/19. Let m(a) be the second derivative of 12*a + 0 + a**2 + 0*a**3 - k*a**4. Factor m(w).
-2*(w - 1)*(w + 1)
Let v(p) be the first derivative of p**4/12 + 13*p**3/9 - p**2/6 - 13*p/3 - 389. Factor v(n).
(n - 1)*(n + 1)*(n + 13)/3
Let h(l) be the first derivative of -l**7/1680 - l**6/240 + l**5/240 + l**4/16 + l**3 + 6. Let o(t) be the third derivative of h(t). Let o(b) = 0. What is b?
-3, -1, 1
Factor 5*a**3 + 25*a**2 + 941 - 941.
5*a**2*(a + 5)
Let v