c**5/60 + 2*c**4/3 + 25*c**3/18 - 32*c. Solve x(p) = 0 for p.
-1, 0, 25
Let k = 2781 - 13904/5. Factor i**4 + 0 - 1/5*i**2 + 3/5*i**5 + k*i**3 + 0*i.
i**2*(i + 1)**2*(3*i - 1)/5
Let g(l) be the first derivative of 17 - 4/15*l**3 + 2/5*l**2 + 0*l. Solve g(r) = 0.
0, 1
Factor 9 + 12/5*t**2 + 69/5*t.
3*(t + 5)*(4*t + 3)/5
Let q be (74/7)/(2/14). Factor -11*c**2 - q*c**3 + 70*c**3 - 9*c**2.
-4*c**2*(c + 5)
Let y(q) be the third derivative of -3/40*q**5 + 0 + 10*q**2 + 0*q - 1/2*q**3 - 7/16*q**4. Let y(h) = 0. What is h?
-2, -1/3
Let f = -1471 - -1473. Let j(p) be the second derivative of 4/3*p**3 - 10*p + 0 + 1/3*p**4 + 2*p**f. Factor j(w).
4*(w + 1)**2
Let u(b) = -b**2 + 12*b + 4. Let z(j) = j**2 - 6*j + 11. Let m be z(6). Let h be u(m). Factor 4*c**5 - 4*c**4 - h*c**3 + 11*c**3 + 8*c**2 - 4*c**2.
4*c**2*(c - 1)**2*(c + 1)
Suppose -5*a - 1 = -31. Let b be 100/30 - (-4)/a. Find j, given that 2*j**2 + b*j**3 - 3*j - 8*j**2 - j - 2*j**2 + 8 = 0.
-1, 1, 2
Let c(p) be the third derivative of -p**5/210 + 5*p**4/7 - 59*p**3/21 - 329*p**2. Solve c(y) = 0.
1, 59
Let x(w) be the first derivative of -3/2*w**2 - 2 + 3*w + 1/8*w**4 + 1/4*w**3. Let r(a) be the first derivative of x(a). What is t in r(t) = 0?
-2, 1
Let q be 6/(3 - 2) - 1. Suppose -q*x = -34 + 14. Factor -x + 1 + 6*i**2 - 3 - i + 3*i**3 - 2*i.
3*(i - 1)*(i + 1)*(i + 2)
Let m be 4/(-12) + 21/9. Factor -2*l - l**m - 70 + 67 + 6*l.
-(l - 3)*(l - 1)
Let w(f) = -f**4 + 19*f**3 - 35*f**2 + 17*f - 6. Let i(d) = 3*d**4 - 59*d**3 + 108*d**2 - 51*d + 18. Let j(x) = 6*i(x) + 19*w(x). Solve j(r) = 0 for r.
1, 2, 3
Determine t, given that 9*t - 5 - 1 + 9*t**2 - 11*t**2 - t**2 = 0.
1, 2
Let j(u) be the third derivative of -u**7/210 + 3*u**6/20 - 31*u**5/60 - 3*u**4/4 + 16*u**3/3 - 168*u**2 - u. What is i in j(i) = 0?
-1, 1, 2, 16
Let z = 10 - 40. Let u be (-1 - -11)/((5 - z)/5). Find t such that -2*t**2 + 0 - u*t**4 + 2/7*t**5 + 4/7*t + 18/7*t**3 = 0.
0, 1, 2
Factor 0 + 22/3*a**3 - 88/3*a - 8/3*a**2 + 2/3*a**4.
2*a*(a - 2)*(a + 2)*(a + 11)/3
Let z(t) be the third derivative of -t**5/15 - 2*t**4 + 33*t**2 - 3*t. Suppose z(s) = 0. Calculate s.
-12, 0
Factor -42/5 - 57/5*h + 3/5*h**3 - 12/5*h**2.
3*(h - 7)*(h + 1)*(h + 2)/5
Let z(w) be the first derivative of -w**3/21 + 141*w**2/14 + 431. Solve z(n) = 0.
0, 141
Factor 7*t**4 - 51*t**2 + 5*t**5 - 28*t**4 - 9*t**2 - 24*t - 54*t**3 - 8*t**5.
-3*t*(t + 1)*(t + 2)**3
Let v(d) = -6*d**3 - 13*d**2 + 7*d - 14. Let q(j) = -j**3 + j**2 + j - 2. Let s(z) = -21*q(z) + 3*v(z). Find g, given that s(g) = 0.
0, 20
Let l(x) = -9*x**2 + 3*x + 17. Suppose -4*n + 2*n - 30 = 4*d, 4*d + 40 = -4*n. Let k(p) = -10*p**2 + 2*p + 18. Let j(q) = n*k(q) + 6*l(q). Factor j(s).
-4*(s - 3)*(s + 1)
Let y(z) be the first derivative of -9*z**3/4 + 15*z**2/2 - 3*z - 80. Let y(u) = 0. What is u?
2/9, 2
Let k(u) = -20 + 11 + 2*u**3 - 3*u**3 + u + 5*u**2 + 6. Let y be k(5). What is l in -81*l**2 + 0*l - l**3 - y*l + 84*l**2 = 0?
0, 1, 2
Let n be (-1)/((-92)/44 + 2). Determine y, given that 5 + n*y**3 + 3*y - 5*y**2 - 7*y**3 - 9*y**3 + 2*y = 0.
-1, 1
Let m = 109 - 543/5. Let -2/5*v**2 + 6/5*v - 6/5*v**3 + 4/5 - m*v**4 = 0. Calculate v.
-2, -1, 1
Let o(l) be the first derivative of 49*l**6/12 - 14*l**5/5 - 45*l**4/8 + 14*l**3/3 - l**2 + 367. What is p in o(p) = 0?
-1, 0, 2/7, 1
Suppose 1/4*y**2 + 4 + 17/4*y = 0. What is y?
-16, -1
Let s be 20/(-15)*(-3)/(28 + 2). Solve s*r - 2/3*r**4 - 26/15*r**3 - 6/5*r**2 + 4/15 = 0 for r.
-1, 2/5
Let u be (-1 - -3)*(399/2090 - 2/22). Let -6/5*f**3 - 1/5*f**5 - u*f + 4/5*f**4 + 0 + 4/5*f**2 = 0. Calculate f.
0, 1
Let v(n) be the second derivative of -n**7/231 + n**6/55 + 9*n**5/55 + 2*n**4/33 - 8*n**3/11 - 339*n. Suppose v(w) = 0. Calculate w.
-2, 0, 1, 6
Let o(r) = r**2 - 16*r + 15. Let m(z) = -12 + 0 + 15*z - 6 + 3. Let s(b) = -4*m(b) - 3*o(b). Solve s(n) = 0.
-5, 1
Suppose 3/2 + 96*m**2 + 201/4*m + 189/4*m**3 = 0. What is m?
-1, -2/63
Let y(b) = 2*b**2 + 12*b + 18. Let l be y(-8). Factor -l*m + m**2 - 27 - 4*m**2 + 68*m.
-3*(m - 3)**2
Let d(z) be the first derivative of -z**5/100 - z**4/60 + z**3/30 + z**2/10 - 25*z - 19. Let w(r) be the first derivative of d(r). Determine k so that w(k) = 0.
-1, 1
Factor -16/3 - 14/3*h + 2/3*h**2.
2*(h - 8)*(h + 1)/3
Suppose 0 = 4*m - 2*v - 8, -3 - 5 = -2*m - v. Suppose 884 - 356 = 22*a. Solve 4*n**3 + m*n**4 - a*n**2 + 24*n**2 = 0.
-4/3, 0
Let y be (2 + -1)*-1 + 2*2. Factor 8 + 1 - 16 + 20*v + 0 + y*v**2.
(v + 7)*(3*v - 1)
Let u(v) = v**2 - 4*v + 1. Let q be u(3). Let r(o) = -4*o - 5. Let b be r(q). Solve -m + 0*m - 16 + m**b + 7 + 3*m**2 + 6 = 0 for m.
-3, -1, 1
Let v(u) be the third derivative of -2*u**7/105 - u**6/10 - u**5/5 - u**4/6 - 292*u**2. Factor v(w).
-4*w*(w + 1)**3
Let v be (0 + -2)/2 + 5. Let t = 6 - v. Determine m so that 0*m + 0 + 3/4*m**t = 0.
0
Suppose -8*k + 7572 - 7556 = 0. Determine f so that 1/5*f**4 - 3/5*f**3 + 0 + 1/5*f**5 + 2/5*f - 1/5*f**k = 0.
-2, -1, 0, 1
Let a = -779 - -781. Let l(f) be the second derivative of 0*f**a + 4/63*f**7 + 1/9*f**3 - 7/18*f**4 - 4*f - 13/45*f**6 + 0 + 1/2*f**5. Factor l(t).
2*t*(t - 1)**3*(4*t - 1)/3
Let y(p) be the third derivative of -p**6/1440 - p**5/160 - p**4/48 + 2*p**3 + 4*p**2. Let g(t) be the first derivative of y(t). Solve g(j) = 0.
-2, -1
Suppose g = 12*g. Let l(r) be the third derivative of g*r + 0*r**3 + 1/90*r**5 - 5*r**2 + 0*r**4 + 0. Factor l(i).
2*i**2/3
Let y = -3604 + 14421/4. Factor y + 0*k - 5/4*k**2.
-5*(k - 1)*(k + 1)/4
Suppose -16103*d - d**2 - 2 + 16098*d - 4 = 0. What is d?
-3, -2
Factor -j**3 + 4*j + 193*j**2 + j**4 - 98*j**2 - 99*j**2.
j*(j - 2)*(j - 1)*(j + 2)
Let j be (-9)/(-3) - (-1)/1. Solve -4*i**j - 35*i + 75*i - 40*i + i**5 + 3*i**3 = 0 for i.
0, 1, 3
Let f = 160 - 189. Let b be 24 + f - (-1 - 4). Factor b - 2/3*r**4 - 2/3*r**3 + 2/3*r + 2/3*r**2.
-2*r*(r - 1)*(r + 1)**2/3
Let k(w) = 15*w**4 + 23*w**3 + 4*w**2 - w - 19. Let q(r) = 4*r**4 + 6*r**3 + r**2 - 5. Let x(z) = 6*k(z) - 22*q(z). Factor x(a).
2*(a - 1)*(a + 1)**2*(a + 2)
Let a(z) be the third derivative of -1/240*z**6 + 0*z**4 + 0*z**3 + 1/240*z**5 - 15*z**2 + 0 + 1/840*z**7 + 0*z. Factor a(d).
d**2*(d - 1)**2/4
Factor -58/15 - 4*v - 2/15*v**2.
-2*(v + 1)*(v + 29)/15
Let y(t) be the third derivative of -t**8/72 + 8*t**7/63 - 2*t**6/5 + 16*t**5/45 + 4*t**4/9 - 272*t**2. Factor y(h).
-2*h*(h - 2)**3*(7*h + 2)/3
Let l(n) be the second derivative of -n**5/5 + n**4 + 6*n**3 + 10*n**2 - n + 25. Let l(r) = 0. What is r?
-1, 5
Suppose b - 16 + 5 = -3*j, 24 = 5*j - 4*b. Factor x**4 + 8*x**2 - 165*x**3 - 3*x**j + 159*x**3.
-2*x**2*(x - 1)*(x + 4)
Suppose 0 = -5*l - 0 - 5. Let q = l - -6. Factor v**4 - 5*v**4 + 7*v**4 - 5*v**3 + 9*v**q + v**2.
v**2*(v + 1)*(3*v - 1)**2
Suppose -3*t + 45 + 42 = 0. Let o = 94/3 - t. Factor -8/3*w**2 - o*w - w**3 - 2/3.
-(w + 1)**2*(3*w + 2)/3
Suppose 30 = -3*a + 5*a. Suppose -h - 3 + a = 4*u, -h + 16 = 5*u. Suppose -6*p**2 + 0*p**4 - 4*p + 2*p**4 - 2*p**4 + 2*p**u = 0. What is p?
-1, 0, 2
Let i(a) be the second derivative of -1/90*a**6 + 0*a**3 + 0 + 2*a - 1/36*a**4 + 1/30*a**5 + 0*a**2. Factor i(r).
-r**2*(r - 1)**2/3
Let a(z) = -143*z**4 - 142*z**3 + 149*z**2 + 132*z - 11. Let q(d) = -d**4 + d**2 + 2*d + 1. Let r(t) = a(t) + 5*q(t). Determine h so that r(h) = 0.
-1, 3/74, 1
Let w(a) be the third derivative of 0 + 0*a**3 + 0*a + 5/4*a**4 - 33*a**2 - 5/12*a**5 + 1/24*a**6. Suppose w(z) = 0. What is z?
0, 2, 3
Let z be 0 - 35/10*(-46)/(-14). Let w = -11 - z. Factor -1/2*o**4 + 0 + 1/2*o**2 + w*o**3 - 1/2*o.
-o*(o - 1)**2*(o + 1)/2
Let k(r) be the first derivative of -27/35*r**5 + 9/7*r**3 - 3/14*r**4 + 27 + 0*r + 3/7*r**2. Find d, given that k(d) = 0.
-1, -2/9, 0, 1
Determine o, given that -20*o + 23*o - 33*o - 24*o - 5*o**2 + 4*o = 0.
-10, 0
Let m = -13117/20 - -656. Let w(f) be the second derivative of -4*f + 1/30*f**6 + 0 - 1/42*f**7 + 0*f**2 - 5/12*f**4 + 1/3*f**3 + m*f**5. Factor w(q).
-q*(q - 1)**3*(q + 2)
Let h(d) be the second derivative of -1/4*d**3 + 1/8*d**4 + 0*d**2 + 3/40*d**5 + 0 - 9*d - 1/20*d**6. Determine p so that h(p) = 0.
-1, 0, 1
Let h(z) be the first derivative of 2*z**3/9 - 7*z**2/3 - 88*z/3 - 25. Factor h(k).
2*(k - 11)*(k + 4)/3
Let f(g) be the third derivative of -g**5/20 + 3*g**4/8 - 158*g**2 - g. Solve f(s) = 0 for s.
0, 3
Suppose