*w - 3 + w**2 + 1 + w**2 = 0.
-1, 1
Let o(p) be the second derivative of -p**7/840 + p**6/240 - p**4/6 + 2*p. Let a(l) be the third derivative of o(l). Factor a(y).
-3*y*(y - 1)
Let q(r) = -84*r**3 + 140*r**2 - 16*r + 2. Let y(l) = l**3 + l**2 + l. Let s(v) = 2*q(v) - 28*y(v). Factor s(h).
-4*(h - 1)*(7*h - 1)**2
What is h in -15*h**2 + 8*h**4 + 0*h**4 - 3*h**4 + 3*h + 2*h - 5*h**3 + 10 = 0?
-1, 1, 2
Let b(h) = -5*h**4 - h**2 - 6*h. Let d(g) = -9*g**2 + 9*g**2 + 4*g**4 - 5*g**4 - g. Let k(l) = -b(l) + 6*d(l). Determine n, given that k(n) = 0.
-1, 0, 1
Suppose -7*o - 6 = -20. Let v(r) be the first derivative of -4/5*r + 2/25*r**5 - 2/5*r**3 + 2 + r**o - 1/10*r**4. What is m in v(m) = 0?
-2, 1
Suppose -4*s - 2*b - 33 = 3*b, 0 = -4*s - 4*b - 28. Let i = 2 - s. Solve -2*y**5 - y**5 + 2*y**5 - 4 - 25*y**2 - 16*y - 19*y**3 - y**i - 6*y**4 = 0.
-2, -1
Let a(r) be the third derivative of -r**8/112 - 13*r**7/210 - 19*r**6/120 - 11*r**5/60 - r**4/12 - 5*r**2. What is k in a(k) = 0?
-2, -1, -1/3, 0
Suppose -p + 32 = 4*u + 8, -25 = -5*u. Suppose -28/3*q**3 - 2/3 - 14/3*q - 5/2*q**p - 65/6*q**2 = 0. What is q?
-2, -1, -2/5, -1/3
Suppose 5*p = -c + 34, 7*p - 50 = 2*p - 5*c. Let q be ((-2)/(-3))/(2/p). Find x such that 0 - 1 + 2*x**q + 2*x - 3 = 0.
-2, 1
Factor 6*f**2 - 36*f + 4*f**3 - f**3 - 4*f**3 + 6*f**2.
-f*(f - 6)**2
Let y(n) be the third derivative of -n**7/8820 + n**6/1260 - n**4/8 + n**2. Let j(g) be the second derivative of y(g). Factor j(o).
-2*o*(o - 2)/7
Let f(w) be the first derivative of -w**3/3 - 3*w**2 + 4*w + 1. Let x be f(-6). Determine p, given that 0*p**2 - 2/3*p**3 + 2/3*p - 1/3 + 1/3*p**x = 0.
-1, 1
Factor -4/3*h + 0 + 2/3*h**2 + 4/3*h**3 - 2/3*h**4.
-2*h*(h - 2)*(h - 1)*(h + 1)/3
Find q, given that 28*q**2 + 12*q - 1 - 5 + 1 - 3 - 20*q**4 - 12*q**3 = 0.
-1, 2/5, 1
Let s(d) be the first derivative of 0*d - 1/8*d**4 + 1/6*d**3 + 0*d**2 + 5. Determine j, given that s(j) = 0.
0, 1
Let w(r) be the second derivative of r**5/10 - 2*r**4/3 - r**3/3 + 4*r**2 + 27*r. Factor w(f).
2*(f - 4)*(f - 1)*(f + 1)
Let k(v) be the second derivative of -v**5/20 - 11*v. Factor k(n).
-n**3
Let f(t) be the third derivative of 11*t**6/120 + 3*t**5/20 - t**4/12 - 11*t**2. Suppose f(x) = 0. What is x?
-1, 0, 2/11
Let r(g) be the first derivative of g**8/5040 + g**7/2520 - g**3 + 4. Let n(k) be the third derivative of r(k). What is z in n(z) = 0?
-1, 0
Let t be (-2)/(-3) - 5/(135/12). Let p be 1 + -1 - 1*-2. Suppose -2/9*d**p + 4/9 + t*d = 0. What is d?
-1, 2
Let f = 2/189 - -185/378. Factor -f*s**3 - s + 0 - 3/2*s**2.
-s*(s + 1)*(s + 2)/2
Factor 0 + m + 1/2*m**2.
m*(m + 2)/2
Let l(r) = r + 18. Let n be l(-17). Let k be (17/2)/n - -2. Factor 3*m**2 - k*m**3 + 21/2*m - 3.
-3*(m - 1)*(m + 1)*(7*m - 2)/2
Let d(s) be the third derivative of -s**4/12 + 7*s**3/3 - s**2. Let i be d(7). Factor 2/7*y**3 + 0 - 4/7*y**2 + i*y.
2*y**2*(y - 2)/7
Let p(f) = 8*f**3 - 4*f**2 + 4. Let b(l) = -l**4 - 16*l**3 + 8*l**2 - 9. Let t(s) = -4*b(s) - 9*p(s). Find y such that t(y) = 0.
0, 1
What is g in -8/3*g**3 + 8/3*g + 2/3*g**4 - 8/3 + 2*g**2 = 0?
-1, 1, 2
Factor -2 - 922*o**2 - 21*o + 2 + 904*o**2 + 3*o**3.
3*o*(o - 7)*(o + 1)
Let z be -5 - ((-2064)/420 + 2/(-7)). Suppose 2/5*k + z*k**4 - 3/5*k**2 + 0*k**3 + 0 = 0. Calculate k.
-2, 0, 1
Suppose -t - 2*t + 12 = 0. Factor -4*i - i**5 - i**4 + t*i + 2*i**3.
-i**3*(i - 1)*(i + 2)
Let h(w) be the third derivative of -w**6/240 + w**5/120 + 4*w**2. Factor h(f).
-f**2*(f - 1)/2
Suppose 3*s + 4 = 10. Let w(t) be the second derivative of -s*t + 0 - 4*t**2 - 1/2*t**4 + 8/3*t**3. Determine n, given that w(n) = 0.
2/3, 2
Suppose -m + 10 = 4*m. Factor 0*v**2 - v**m + 3*v**2 - 3*v + v.
2*v*(v - 1)
Suppose -36*o**2 - 16/3 - 46/3*o**3 + 124/3*o**4 - 14*o**5 + 88/3*o = 0. Calculate o.
-1, 2/7, 2/3, 1, 2
Let f = 689/3 + -229. Factor f*n**3 - 2/3*n**4 + 2/3*n**2 - 2/3*n + 0.
-2*n*(n - 1)**2*(n + 1)/3
Let l(c) = -c**3 + c + 1. Let x(i) = i**5 + i**4 + 5*i**3 - 5*i - 5. Let m(s) = -10*l(s) - 2*x(s). Solve m(k) = 0.
-1, 0
Let r(m) be the first derivative of -1/6*m**3 - 1/60*m**5 + 1/12*m**4 + 1/6*m**2 + 2 + 2*m. Let w(h) be the first derivative of r(h). Factor w(z).
-(z - 1)**3/3
Let u(j) be the third derivative of -j**8/3360 - j**7/525 - j**6/400 - 18*j**2. Let u(n) = 0. What is n?
-3, -1, 0
Suppose -3*f - k = -20, 0*f + 5*k = -3*f + 40. Let r = f + -1. Factor 1/2 - 2*n + 1/2*n**r - 2*n**3 + 3*n**2.
(n - 1)**4/2
Let g(c) be the first derivative of 4*c**3/3 + 4*c**2 + 14. Factor g(n).
4*n*(n + 2)
Let k be (4/7)/((-8)/(-28)). Suppose -2 = k*q - 4. Factor -b**5 - b**5 + 2*b**3 - 3*b + 3*b**5 + 2*b**2 + 0 + q - 3*b**4.
(b - 1)**4*(b + 1)
Let w be -18 + 15 + (-22)/(-5). Let f = 299/5 - 59. Factor -f*i**4 - 3*i**2 - 1/5 - 13/5*i**3 - w*i.
-(i + 1)**3*(4*i + 1)/5
Suppose -4*k + 3*k = 0. Let h = 0 + k. Factor -2/3*n**5 + h*n**4 + 0 + 2/3*n**3 + 0*n + 0*n**2.
-2*n**3*(n - 1)*(n + 1)/3
Let z = -583/5 + 15263/130. Let b = z + -4/13. Let -2*o**2 + o**4 + o**3 + 1 - 1/2*o**5 - b*o = 0. What is o?
-1, 1, 2
Factor 0 - 2*i**3 - 2/3*i**2 + 4/3*i.
-2*i*(i + 1)*(3*i - 2)/3
Let r = -339 + 2375/7. Factor -16/7 + 12/7*l**2 + 10/7*l**3 - 8/7*l + r*l**4.
2*(l - 1)*(l + 2)**3/7
Find t such that 2/5*t**4 + 18/5*t**3 + 88/5*t + 12*t**2 + 48/5 = 0.
-3, -2
Let i be ((-24185)/15)/(3/2). Let m = i + 1076. What is h in -m*h - 2/9*h**5 - 2/9 - 20/9*h**2 - 20/9*h**3 - 10/9*h**4 = 0?
-1
Suppose 0 = -10*m + 7*m. Let 3*a + 9 + m*a + a**2 + 3*a = 0. Calculate a.
-3
Suppose -1/4*w**3 + 9/4 - 5/4*w**2 - 3/4*w = 0. Calculate w.
-3, 1
Factor 1/4 + 1/2*x - 3/4*x**2.
-(x - 1)*(3*x + 1)/4
Let w be 6/3 + 4 - 3. Determine u so that -5*u**2 - u**3 + 15*u**2 + 2*u**2 + 5*u**w = 0.
-3, 0
Let h be (1 - 15/18) + 0. Let a(y) be the first derivative of 1/9*y**6 + 16/3*y + 8/15*y**5 + h*y**4 - 4/3*y**2 - 20/9*y**3 - 1. Determine s so that a(s) = 0.
-2, 1
Let m(d) = -26*d**2 - 16*d + 10. Let c(x) be the second derivative of -5*x**4/12 - x**3/2 + x**2 - 2*x. Let b(p) = -14*c(p) + 3*m(p). Factor b(n).
-2*(n + 1)*(4*n - 1)
Let z(d) be the first derivative of 4/3*d**3 - 1/2*d**4 + d**2 - 4*d + 2. Let z(v) = 0. What is v?
-1, 1, 2
Suppose n = -4*a - 7, 0*a = n + 2*a - 1. Let c(h) = -h**2 + 8*h + 12. Let l be c(n). Determine b so that l*b**2 + 2*b**3 - b**3 - 2*b**2 - b**4 - b = 0.
-1, 0, 1
Let y = 6/23 + -7/115. Factor -1/5*l - y*l**3 + 2/5*l**2 + 0.
-l*(l - 1)**2/5
Let v(j) be the second derivative of j**6/80 - 3*j**5/160 - 7*j**4/32 + 13*j**3/16 - 9*j**2/8 + 31*j. Factor v(w).
3*(w - 2)*(w - 1)**2*(w + 3)/8
Let a(i) be the second derivative of 3*i**5/70 - 3*i**4/28 - 40*i. Suppose a(h) = 0. What is h?
0, 3/2
Let f(t) be the third derivative of t**7/105 + t**6/6 + 37*t**5/30 + 5*t**4 + 12*t**3 + 16*t**2. Factor f(q).
2*(q + 2)**2*(q + 3)**2
Let s(b) = -b - 15. Let r be s(-17). Let x(n) be the third derivative of 0*n - 1/36*n**4 + 2*n**r + 1/30*n**5 + 0 + 0*n**3. Factor x(l).
2*l*(3*l - 1)/3
Let c(b) = -b**5 - b**3 + 1. Let h(i) = 4*i**5 + i**4 + 8*i**3 - i**2 - 2*i - 5. Let f(v) = -20*c(v) - 4*h(v). What is p in f(p) = 0?
-1, 0, 1, 2
Let x(a) = 9*a**4 - 9*a**3 - 9*a**2 + 3*a. Suppose -5 = 2*b + 9. Let y(q) = 10*q**4 - 10*q**3 - 10*q**2 + 3*q. Let g(c) = b*x(c) + 6*y(c). Factor g(k).
-3*k*(k - 1)**2*(k + 1)
Let v(d) be the first derivative of -d + 0*d**2 + 2 + 1/3*d**3. Determine u, given that v(u) = 0.
-1, 1
Let w(v) = -6*v**5 - 7*v**4 + 7*v**3 - v**2 + 4*v + 3. Let x(o) = -o**5 - o**4 + o**3 - o**2 + o + 1. Let f(a) = -w(a) + 5*x(a). Factor f(z).
(z - 1)**2*(z + 1)**2*(z + 2)
Let j(o) = 5*o**2 - 5*o + 2*o**3 - 5 + 3*o**2 + 4*o - o**3. Let s be j(-8). Determine g so that 0*g - 4*g**4 + s*g**3 - 2/3*g**2 + 5/3*g**5 + 0 = 0.
0, 2/5, 1
Let k = 101/102 + -14/17. Suppose -5*l + 2*o - 10 + 0 = 0, -2*l = 5*o - 25. Factor 1/6*p**3 + l*p**2 + 0*p + 0 + k*p**4.
p**3*(p + 1)/6
Let u(w) = -3*w**2 + w + 2. Let c(j) = -13*j**2 + 4*j + 9. Let o(d) = 2*c(d) - 9*u(d). Factor o(n).
n*(n - 1)
Let z(p) be the first derivative of 1/5*p**5 + 1/4*p**4 - 1/2*p**2 - 1/3*p**3 + 0*p - 2. Determine j so that z(j) = 0.
-1, 0, 1
What is q in -2*q**3 + 9*q - 5*q**3 - 3 + 9*q**3 - 9*q**2 + q**3 = 0?
1
Let j(z) be the first derivative of -4*z**7/1155 + z**6/220 + z**5/330 + z**2 + 1. Let u(o) be the second derivative of j(o). Factor u(l).
-2