 -57/20 + 13/4. Let t be (-1)/(-2*((-28)/16 + 2)). Let 0 + 0*s**t + 0*s - o*s**4 + 2/5*s**3 = 0. What is s?
0, 1
Let n = 35533/1822 - 2/911. Find t, given that -n*t**3 - 6*t**4 - 3/2 - 21/2*t - 45/2*t**2 = 0.
-1, -1/4
Let t(q) = -6*q**5 - 9*q**4 + 12*q**3 - 6*q + 9. Let g(i) = -3*i**5 - 5*i**4 + 6*i**3 - 3*i + 5. Let l(x) = 9*g(x) - 5*t(x). Factor l(w).
3*w*(w - 1)**2*(w + 1)**2
Suppose -1 = -a - 4, 3*k = -5*a - 3. Suppose -n + k = 1. Solve 5*p**4 - p**4 + 2*p**4 - 2*p**5 + 2*p**2 - 6*p**n = 0 for p.
0, 1
Let d(v) be the first derivative of 3*v**4/16 - 7*v**3/4 + 6*v**2 - 9*v - 32. Factor d(u).
3*(u - 3)*(u - 2)**2/4
Let i(z) be the first derivative of 0*z - 3/5*z**2 - 2/15*z**3 + 10. Solve i(n) = 0.
-3, 0
Let f(v) be the second derivative of v**10/105840 - v**9/52920 - v**8/23520 + v**7/8820 + v**4/12 - 2*v. Let n(c) be the third derivative of f(c). Factor n(d).
2*d**2*(d - 1)**2*(d + 1)/7
Let j(r) be the second derivative of r**6/36 + r**5/8 + 5*r**4/36 - 29*r. Determine a, given that j(a) = 0.
-2, -1, 0
Let d(h) be the first derivative of -h**6/15 - 3*h**5/10 - h**4/2 - h**3/3 + h - 3. Let r(v) be the first derivative of d(v). Find n such that r(n) = 0.
-1, 0
Let i(c) be the third derivative of -c**5/30 + c**4/18 - c**3/27 - 13*c**2. Factor i(w).
-2*(3*w - 1)**2/9
Let a(b) = 5*b**3 + 3*b**2 - 2*b + 7. Let o(k) = -k**3 - k**2 - 1. Let h(z) = 2*a(z) + 14*o(z). Factor h(t).
-4*t*(t + 1)**2
Suppose -4*k = -5*b + 12, 0 = -0*k - k - 3. Let a = 23 - 68/3. Factor b*x - 1/3 + a*x**2.
(x - 1)*(x + 1)/3
Let j be (-1)/(-4) - (-47)/4. Suppose 0 = 5*i - 2*i - h - j, -i + 5*h + 18 = 0. Find g, given that g + g**2 - 4*g**2 + 3 - g**i + 4*g**2 - 4 = 0.
-1, 1
Let t be 0/((-3)/1 - -5). Let b(q) = q + 5. Let r be b(t). Suppose -2*w**2 - w**r + 0*w**5 - w + 2*w**5 + 2*w**4 = 0. What is w?
-1, 0, 1
Let v be -22*((-5)/2 - -2). Factor -161/4*s**2 + v*s + 49*s**3 - 1.
(4*s - 1)*(7*s - 2)**2/4
Let k(p) be the third derivative of p**8/13440 + p**7/2520 - p**4/12 + 5*p**2. Let y(j) be the second derivative of k(j). Factor y(q).
q**2*(q + 2)/2
Factor 7*t**3 + t**3 - 10*t**2 - 3*t**3 + 5*t.
5*t*(t - 1)**2
Let m = 15 - 11. Factor -6*j**4 - m*j + 4*j**5 - 5*j**2 + 3*j + 5*j**4 - 3*j**3 + 6*j**4.
j*(j - 1)*(j + 1)**2*(4*j + 1)
Suppose 2 = 2*m - m. Suppose a + m = 2*a. Factor 3*y**2 - 2*y**2 + y**a.
2*y**2
Let t = 41 - 41. Let 2/5*z**2 + t - 6/5*z**3 + 4/5*z = 0. Calculate z.
-2/3, 0, 1
Let a(u) be the third derivative of u**7/10 - 2*u**6/5 + 11*u**5/20 - u**4/4 + 4*u**2. Determine p so that a(p) = 0.
0, 2/7, 1
Let s(b) be the third derivative of b**5/12 - 5*b**4/24 - 5*b**3 - 8*b**2. Factor s(c).
5*(c - 3)*(c + 2)
Let t(d) = d**2 + 7*d + 3. Let a be t(-8). Suppose a = 2*q - 1. Factor q*m**4 + 2/3*m**2 + 8/3*m**5 + 4*m**3 + 0 + 0*m.
2*m**2*(m + 1)**2*(4*m + 1)/3
Let l(s) be the second derivative of -s**7/112 + 3*s**6/80 - 9*s**5/160 + s**4/32 + 3*s. Factor l(g).
-3*g**2*(g - 1)**3/8
Let z(t) = 4*t**5 + 14*t**4 - 16*t**3 - 16*t**2 - 6*t - 10. Let x(c) = c**5 - c**3 - c**2 - c - 1. Let j(b) = -20*x(b) + 2*z(b). Factor j(n).
-4*n*(n - 1)**3*(3*n + 2)
Let k = 30 - 25. Suppose -2*l + 3 = 5*g, 0*g - 1 = l + k*g. What is h in -2/7*h**2 + 0*h + 0 + 0*h**3 + 2/7*h**l = 0?
-1, 0, 1
Let q be (-5)/50*20/(-16). Let o(w) be the first derivative of -2*w + 2*w**2 + 2 + q*w**4 - 5/6*w**3. Factor o(k).
(k - 2)**2*(k - 1)/2
Let v(k) be the third derivative of k**10/15120 - k**9/3780 + k**8/3360 + k**4/8 + 2*k**2. Let a(q) be the second derivative of v(q). Factor a(u).
2*u**3*(u - 1)**2
Let h(f) be the second derivative of f**6/60 - f**5/15 + f**4/12 - f**2 + f. Let l(v) be the first derivative of h(v). Solve l(x) = 0 for x.
0, 1
Find d, given that 2*d**2 + 2/3 - 2/3*d**3 - 2*d = 0.
1
Let j(z) = -250*z**5 + 2304*z**4 - 270*z**3 - 1728*z**2 + 956*z - 148. Let g(i) = -i**4 + i**2 - i + 1. Let o(y) = -4*g(y) - j(y). What is k in o(k) = 0?
-1, 2/5, 9
Suppose 0 = -y - 2*y + 6. Let b be (-10)/14 + (8 - 7). Factor b*c + 2/7*c**y - 2/7 - 2/7*c**3.
-2*(c - 1)**2*(c + 1)/7
Let i be (1 - 4 - -2) + 3. Let n(p) be the second derivative of 0*p**i + 0 - 1/42*p**4 - p + 1/21*p**3. Factor n(q).
-2*q*(q - 1)/7
Factor 1/7*v**5 - 3/7*v + 3/7*v**4 + 2/7*v**3 - 1/7 - 2/7*v**2.
(v - 1)*(v + 1)**4/7
Let i = 45 - 44. Let m be 34/10 + (-6)/15. Factor 9/4*g**2 + i + m*g.
(3*g + 2)**2/4
Let t = -7/100 + 449/700. Factor 0*w**3 + 0*w**2 + t*w**5 + 4/7*w**4 + 0 + 0*w.
4*w**4*(w + 1)/7
Let r be 2 + -1 - (9 - 0). Let o be 16/r - (1 + -3). Let o + 2/3*f - 1/3*f**2 = 0. Calculate f.
0, 2
Let k(p) = -2*p + 5*p**3 - 4*p**3 + 4*p**2 + 2 + 0. Let j be k(-3). Let -6*d - 4 + 16*d + j*d**2 - 3*d**2 = 0. Calculate d.
-1, 2/7
Let a be (-48)/64 - (-1697)/(-20). Let j = a - -86. Factor -6/5*l**3 - 4/5 + 8/5*l**2 + j*l.
-2*(l - 1)**2*(3*l + 2)/5
Let m(w) = w**3 - 10*w**2 - 10*w - 11. Suppose 8*p - 6*p = 22. Let o be m(p). Factor o - 1/2*n**2 - 1/2*n.
-n*(n + 1)/2
Let c(m) = m. Let h be c(3). Let s(w) be the first derivative of 1/2*w**4 + 2*w**3 + h*w**2 + 2*w - 2. Factor s(o).
2*(o + 1)**3
Let y = -23 + 13. Let u be 0 - (-1)/y*-2. Determine w so that 1/5*w - 1/5*w**3 - 1/5 + u*w**2 = 0.
-1, 1
Suppose 0 = -5*r - 3*t + 12, 16 = -0*t + 4*t. What is i in 8/13*i + r - 6/13*i**3 + 0*i**2 + 2/13*i**4 = 0?
-1, 0, 2
Factor -2/3*w**4 + 0 + 2/3*w**3 + 4/3*w**2 + 0*w.
-2*w**2*(w - 2)*(w + 1)/3
Let w(q) = -q**2 + q - 1. Suppose 7*l - 20 = 2*l. Let y(h) = -2 - l*h**2 + 7*h - 7*h. Let p(v) = -2*w(v) + y(v). Factor p(k).
-2*k*(k + 1)
Let u be (-5)/((-15)/(-14))*144/(-168). Let z(o) be the third derivative of 0 + 0*o**3 - 2*o**2 + 1/30*o**5 + 0*o - 1/6*o**u. Determine n so that z(n) = 0.
0, 2
Let f(y) be the first derivative of y**9/13608 + y**8/2520 + y**7/1890 + 2*y**3/3 + 5. Let b(h) be the third derivative of f(h). Factor b(p).
2*p**3*(p + 1)*(p + 2)/9
Let w(c) be the third derivative of 1/24*c**4 + c**2 + 0*c**3 + 0*c + 0 - 1/60*c**5. Factor w(n).
-n*(n - 1)
Let g(f) be the first derivative of -3*f**6/5 - 32*f**5/25 - f**4/2 + 4*f**3/15 + 15. Let g(n) = 0. Calculate n.
-1, 0, 2/9
Suppose 0*m - 5*l = 3*m - 20, 4*l = 4. Let w(z) = z**3 + 2*z**2 - z + 10. Let p be w(-3). Factor -4*g**4 - 2*g**5 - g**3 + m*g**p + g**5 - 3*g**4.
-g**3*(g + 1)**2
Factor 6*m**2 + 7*m**5 - 16*m**2 - 2*m**5 - 15*m**3.
5*m**2*(m - 2)*(m + 1)**2
Let w(b) be the third derivative of 1/840*b**8 + 2/75*b**5 - 2/15*b**3 + 1/60*b**4 - 2*b**2 - 1/150*b**6 - 2/525*b**7 + 0*b + 0. Determine c so that w(c) = 0.
-1, 1, 2
Let y(p) be the first derivative of 2*p**5/65 - 2*p**4/13 + 10*p**3/39 - 2*p**2/13 + 6. Factor y(n).
2*n*(n - 2)*(n - 1)**2/13
Let k(n) be the second derivative of n**7/336 - n**6/80 + 3*n**5/160 - n**4/96 - n. Factor k(g).
g**2*(g - 1)**3/8
Let l(t) be the third derivative of -t**8/168 + t**7/105 + 3*t**6/20 + 11*t**5/30 + t**4/3 - t**2. Factor l(w).
-2*w*(w - 4)*(w + 1)**3
Suppose 4*q - 4*c = 16, -3*q - q = 3*c - 2. Let y(r) = r**2 + 5*r - 1. Let x(j) = j**2 + 2*j - 1. Let h(z) = q*y(z) - 5*x(z). Find s such that h(s) = 0.
-1, 1
Let f(q) be the first derivative of -q**8/3360 + q**7/560 - q**6/720 - q**5/80 + q**4/24 + 8*q**3/3 + 2. Let t(a) be the third derivative of f(a). Factor t(o).
-(o - 2)*(o - 1)**2*(o + 1)/2
Let d(a) = a**2 - 2*a + 1. Let x(q) = 3*q**2 - 7*q + 4. Let t be (((-8)/1)/2)/1. Let o(s) = t*x(s) + 14*d(s). Factor o(v).
2*(v - 1)*(v + 1)
Let n(b) = -b**2 - b. Let h(a) = -3*a**2 - 3*a. Let m be (40/28)/((-3)/(-21)). Let u(z) = m*n(z) - 4*h(z). Factor u(d).
2*d*(d + 1)
Let n(x) be the third derivative of -x**10/75600 + x**8/10080 + x**5/15 + 4*x**2. Let t(h) be the third derivative of n(h). Find w, given that t(w) = 0.
-1, 0, 1
Suppose 4/7*j - 2/7*j**2 + 0 = 0. Calculate j.
0, 2
Let z(b) be the first derivative of 2*b - 3 - 5*b**2 + 8/3*b**3. Suppose z(d) = 0. What is d?
1/4, 1
Let y(u) be the third derivative of u**8/448 - 3*u**7/280 + u**6/80 - 16*u**2. Factor y(n).
3*n**3*(n - 2)*(n - 1)/4
Factor 0 + 9/2*v**2 - 3*v - 3/2*v**3.
-3*v*(v - 2)*(v - 1)/2
Suppose -3*f + 1 = -4*b - 6, -2*b - 5*f = -29. Let l be 4/(4 - b) - -1. Suppose -2*p**2 + 0*p**2 - 6*p + 2*p**l + 4*p + 2 + 0*p**2 = 0. Calculate p.
-1, 1
Let m(k) = k**3 - 9*k**2 + 8*k + 5. Let v be m(8). Factor -w + 2*w**2 + 4*w**4 - 5*w**2 - v*w**4 - 3*w**3 + 0*w.
-w*(w + 1)**3
Let p(b) be the second 