 1/2*z**4 - 1/4*z**3 = 0.
-1, 0, 1, 2
Suppose 5*g = -2*w + 204, 5*g + w - 3*w = 216. Let i = g + -38. Factor -5/4*f**i - 5/4 - 15/2*f**2 + 5*f + 5*f**3.
-5*(f - 1)**4/4
Let r(w) be the first derivative of 2*w**6/3 - 13*w**5/5 - 13*w**4/4 + 4*w**3/3 + 92. Factor r(m).
m**2*(m - 4)*(m + 1)*(4*m - 1)
Let j(t) = t**3 - 8*t**2 - 7*t - 9. Let p be j(9). Let 8*m + 4*m**3 + 0*m + 3*m**2 + p*m**2 = 0. Calculate m.
-2, -1, 0
Find t such that 0 + 1/5*t**5 + 19/5*t**3 - 4*t + 12/5*t**4 - 12/5*t**2 = 0.
-10, -2, -1, 0, 1
Suppose -2*q + 2 + 2 = 4*s, -2*s - 2*q = -4. Suppose s*j = 3*j - 15. Let 12*p + 5*p**2 - 2*p**2 - j*p**2 - 18 = 0. What is p?
3
Let w(a) = 3*a + 21. Let f be w(-7). Suppose -4*m - 20 = 3*u, -4*u + m + 7 - 2 = f. Determine h, given that 4/5*h**4 - 4/5*h**3 + u + 4/5*h - 4/5*h**2 = 0.
-1, 0, 1
Let z(n) be the third derivative of -n**6/15 + n**5/15 + 89*n**2. Find s, given that z(s) = 0.
0, 1/2
Let v(p) = -p**3 + 3*p**2 + 4*p + 2. Let u be 10/(-4)*(-24)/15. Let l be v(u). Suppose -8 - 6*k - 9*k + l + 2*k**4 - 3*k**3 - 14*k**4 + 36*k**2 = 0. What is k?
-2, -1/4, 1
Suppose 0 = j - 3*a - 2, -10 = -5*j - 4*a - 0*a. Factor -8*w**j - 6*w**2 + 1 + 13*w**2.
-(w - 1)*(w + 1)
Let l(n) be the third derivative of n**5/30 - 2*n**4/3 + 16*n**3/3 + 181*n**2. Find s, given that l(s) = 0.
4
Let k(w) be the second derivative of w**5/22 + 7*w**4/11 + 32*w**3/11 + 32*w**2/11 + 301*w. Factor k(o).
2*(o + 4)**2*(5*o + 2)/11
Let w(b) be the third derivative of 2*b**7/105 + b**6/15 - b**5/15 - b**4/3 - 3*b**2 - b. Factor w(p).
4*p*(p - 1)*(p + 1)*(p + 2)
Let v be (-20)/56*((-4)/(-10))/((-14)/112). Solve -1/7*k**3 - v*k**2 - 16/7*k + 0 = 0.
-4, 0
Let q(r) = -r**3 + r**2. Let w be q(0). Factor w*t**2 + 12*t**2 + 8 - 8*t - 10*t**2.
2*(t - 2)**2
Let f = -21/2 + 74/7. Let c(b) be the second derivative of 4*b + 1/28*b**4 + f*b**3 - 3/14*b**2 - 3/140*b**5 + 0. Factor c(x).
-3*(x - 1)**2*(x + 1)/7
Let n(z) be the third derivative of z**5/630 + 13*z**4/42 + 169*z**3/7 - 103*z**2. Factor n(g).
2*(g + 39)**2/21
Let s = 1929 - 1924. Let -g**3 + 5/2*g - 11/2*g**4 - 3/2 - 3/2*g**s + 7*g**2 = 0. Calculate g.
-3, -1, 1/3, 1
Let p = 3/5351 + 1300287/10702. Find r, given that -783/2*r - 63/2*r**4 - 207*r**3 - 3/2*r**5 - 447*r**2 - p = 0.
-9, -1
Find n such that 39/5*n**4 - 3/5*n**5 - 174/5*n**2 + 27 - 99/5*n + 102/5*n**3 = 0.
-3, -1, 1, 15
Let z = 8610 - 8608. Factor 0 - 2/5*i**3 + 2/5*i**z + 0*i.
-2*i**2*(i - 1)/5
Let y = 650 - 647. Factor -1/3*b + 0 + 1/6*b**y - 1/6*b**2.
b*(b - 2)*(b + 1)/6
Let y(w) be the third derivative of w**8/10080 - w**7/1260 + w**5/2 - 26*w**2. Let n(c) be the third derivative of y(c). Factor n(m).
2*m*(m - 2)
Let g = 93 + -91. Let y be 12/9 - (g + (0 - 1)). Factor -1/3*w**2 + y + 1/6*w - 1/6*w**3.
-(w - 1)*(w + 1)*(w + 2)/6
Let l be (2/(-60))/(4/(-12)). Let q(n) be the first derivative of 0*n - 4 - l*n**2 + 1/15*n**3. Suppose q(f) = 0. Calculate f.
0, 1
Let n be (5 + (-636)/132)/6. Let q(t) be the first derivative of 0*t + 3/11*t**4 + 8/55*t**5 + n*t**6 + 8/33*t**3 - 4 + 1/11*t**2. Factor q(m).
2*m*(m + 1)**4/11
Let m(z) be the second derivative of 0 + 10*z + 2/21*z**3 + 4/21*z**4 - 1/35*z**5 - 8/7*z**2. Factor m(g).
-4*(g - 4)*(g - 1)*(g + 1)/7
Let u be 44/12 - 1/(-3). Find r, given that 9 - 5*r**4 - 5 - u = 0.
0
Determine v, given that 4*v**2 - 5*v**2 + 7*v - 11*v + 12*v = 0.
0, 8
Let x(n) be the first derivative of n**6/2 + 9*n**5/20 - 7*n**4/4 - 3*n**3/2 + 3*n**2 + 14*n + 4. Let g(b) be the first derivative of x(b). Factor g(h).
3*(h - 1)*(h + 1)**2*(5*h - 2)
Let q be 8/20 - (-26)/10. Let 4*k + k**5 + 4*k**q + 5*k - 9*k + 4*k**4 = 0. Calculate k.
-2, 0
Let t(u) be the third derivative of 2*u**7/105 - u**6/30 - 2*u**5/15 - 693*u**2. Factor t(b).
4*b**2*(b - 2)*(b + 1)
Let u(s) be the first derivative of s**6/6 - 8*s**5/15 + s**4/6 + 4*s**3/3 + 3*s**2 + 16. Let x(t) be the second derivative of u(t). Factor x(y).
4*(y - 1)**2*(5*y + 2)
Let c = 955 + -953. Let z(a) be the third derivative of 0 + 0*a + 1/270*a**6 + 0*a**3 - 1/1512*a**8 + 0*a**5 + 13*a**c + 0*a**4 - 1/945*a**7. Factor z(k).
-2*k**3*(k - 1)*(k + 2)/9
Let r(s) be the third derivative of -7/144*s**4 + 0 + 0*s - 2/9*s**3 - 16*s**2 + 1/360*s**5. Suppose r(y) = 0. What is y?
-1, 8
Factor 104/5*a + 16/5 + 6*a**3 - 116/5*a**2.
2*(a - 2)**2*(15*a + 2)/5
Let c(t) be the first derivative of 2*t**3/33 + 16*t**2/11 - 342. Factor c(y).
2*y*(y + 16)/11
Suppose 915*d - 19 = -5*g + 912*d, 0 = 5*g - 4*d + 2. Factor -1 + 1/2*k**3 + 0*k**g - 3/2*k.
(k - 2)*(k + 1)**2/2
Let y be ((-380)/75 - -6) + 21/(-35). Solve -y*w**3 - 4/3 + w**2 + 0*w = 0 for w.
-1, 2
Let 2/5*f**2 + 28/5 - 18/5*f = 0. What is f?
2, 7
Let g(x) be the second derivative of -x**6/72 + 5*x**4/24 - 7*x**3/2 + 11*x. Let z(h) be the second derivative of g(h). Find a such that z(a) = 0.
-1, 1
Let -2*m**4 - m**3 + 2*m**3 + 2*m**3 + 4*m - m**5 + 15*m**2 - 7*m**2 = 0. Calculate m.
-2, -1, 0, 2
Let c(a) be the third derivative of -a**5/90 + 3*a**4/4 - 2*a**2 + 175*a. Factor c(n).
-2*n*(n - 27)/3
Let m be ((-2)/(-6))/(-1)*(-6 - 3). Factor 2*r - 3*r - r**m + r**2 + r**2.
-r*(r - 1)**2
Let c(m) be the third derivative of -m**6/30 + 5*m**5/3 - 44*m**4/3 + 56*m**3 + 44*m**2 + 5. Factor c(y).
-4*(y - 21)*(y - 2)**2
Let c be 18/52 + 38/247. Let b(i) be the first derivative of -c*i**4 - 2*i**3 + 0*i - 4 - 2*i**2. Solve b(k) = 0.
-2, -1, 0
Let t(d) be the second derivative of -4*d**6/195 + 4*d**5/195 - d**4/156 + 19*d**2/2 + 23*d. Let v(r) be the first derivative of t(r). Factor v(k).
-2*k*(4*k - 1)**2/13
Let f be 14/(-84)*18/(-4). Let k = 44/5 - 83/10. Factor 1/4*x**2 + k + f*x.
(x + 1)*(x + 2)/4
Let o(g) be the second derivative of 0 - 2/3*g**3 + 0*g**2 - 8*g - 1/9*g**4. Factor o(v).
-4*v*(v + 3)/3
Let g(f) be the third derivative of f**7/350 + 11*f**6/200 - 7*f**5/50 - 3*f**4/5 - 151*f**2. Let g(n) = 0. Calculate n.
-12, -1, 0, 2
Let k(h) be the second derivative of 14*h + 0*h**2 + 2 - 1/5*h**5 + 8/3*h**3 + 0*h**4. Suppose k(q) = 0. Calculate q.
-2, 0, 2
What is d in -3/7*d**4 + 0 + 3/7*d**3 + 0*d + 6/7*d**2 = 0?
-1, 0, 2
Let b(y) be the first derivative of -5*y**4/4 - 40*y**3 - 225*y**2/2 - 110*y - 115. Factor b(n).
-5*(n + 1)**2*(n + 22)
Let p = 10 - 28. Let g be 14/60 + (-3)/p. Factor -g*y**2 - 2/5 - 4/5*y.
-2*(y + 1)**2/5
Let m(a) be the second derivative of -a**4/20 - 19*a**3/10 + 28*a. Let m(d) = 0. What is d?
-19, 0
Let n = -3497/3 + 1171. Factor 20/3*l + 4/3*l**2 + n.
4*(l + 1)*(l + 4)/3
Suppose -11 = -3*y - k, 7*k = -5*y + 5*k + 18. Suppose 5*v = 3*c - 21, 5*v + 25 = 4*c + c. Factor -r + 6*r - y*r - r**c + 2.
-(r - 2)*(r + 1)
Let z(d) be the first derivative of -32*d**6/15 - 24*d**5/5 - d**4/3 + 4*d**3 - 2*d**2 - 25*d + 21. Let p(c) be the first derivative of z(c). Factor p(u).
-4*(u + 1)**2*(4*u - 1)**2
Find x, given that 2/7*x**2 + 12/7*x - 2 = 0.
-7, 1
Suppose 3*a - 5*b + 2 = 14, 5*a - 4*b = 7. Let z be 10*a/(-14)*9/15. Solve -3/7*u**4 + z*u**2 - 3/7*u + 0 + 3/7*u**3 = 0 for u.
-1, 0, 1
Factor 4/5*s - 1/5*s**4 + 2/5*s**3 + 0 + 7/5*s**2.
-s*(s - 4)*(s + 1)**2/5
Let r(a) be the third derivative of -a**6/80 - 7*a**5/20 - 49*a**4/16 - 62*a**2. Solve r(h) = 0.
-7, 0
Let j(t) be the first derivative of -4*t**3/3 + 36*t - 10. Factor j(b).
-4*(b - 3)*(b + 3)
Let v(h) = -5*h + 25. Suppose -15 = -10*k + 35. Let q be v(k). Suppose q*p**3 + 16/9 + 1/9*p**4 - 8/9*p**2 + 0*p = 0. Calculate p.
-2, 2
Let j be 213519/(-5) - (-11)/((-220)/16). Let g = j - -42995. Factor -g*a**2 - 264/5*a - 16/5 - 2662/5*a**3.
-2*(11*a + 2)**3/5
Let y(a) be the second derivative of a**7/91 + 7*a**6/195 - 7*a**5/130 - 5*a**4/26 + 8*a**3/39 + 4*a**2/13 - 45*a. Suppose y(r) = 0. What is r?
-2, -1/3, 1
Suppose 5*q - j = 3*j + 19, 4*j + 4 = 0. Let r be 6 - (69/6 + -9). Factor -u**2 + 0 + 0*u + r*u**q.
u**2*(7*u - 2)/2
Let n = -12 - -14. Solve -565*i**2 - i**5 + i**4 + 565*i**n = 0 for i.
0, 1
Let g(w) be the third derivative of -w**5/270 + w**4/12 + 112*w**3/27 + 560*w**2. Factor g(f).
-2*(f - 16)*(f + 7)/9
Solve 180*b**2 - 291*b**4 + 14*b + 296*b**4 - 14*b - 60*b**3 = 0.
0, 6
Let y(j) be the third derivative of j**7/4620 - j**6/1980 + 2*j**3/3 - 15*j**2. Let z(d) be the first derivative of y(d). Solve z(m) = 0.
0, 1
Suppose 0 = 5*f + 2*c - 2, 9*c - 14*c = -5. Let z(q) be the third 