 + 1)/3
What is z in -4*z + 2 - 21*z**2 + 14*z**2 + 9*z**2 = 0?
1
Suppose 0 = 5*p - 15, -4*v + 3*v - 4*p = -14. Let q(a) be the third derivative of 0*a + 1/48*a**4 + 0 + 3*a**v - 1/240*a**6 + 0*a**5 + 0*a**3. Factor q(j).
-j*(j - 1)*(j + 1)/2
Let a(w) be the first derivative of w**5/240 + 3*w**2/2 + 2. Let d(g) be the second derivative of a(g). Determine z, given that d(z) = 0.
0
Let r(j) = j**4 - j**3 + j**2 - 3*j. Let p(y) = 3*y**4 - 9*y - 9*y**3 - y + 5*y**3 + 4*y**2. Let n(l) = -2*p(l) + 7*r(l). Solve n(g) = 0 for g.
-1, 0, 1
Let l(d) be the second derivative of -d**6/75 - 9*d. Suppose l(s) = 0. What is s?
0
Factor 12/5*r - 2/5*r**2 - 18/5.
-2*(r - 3)**2/5
Let c(w) = -w**3 + 10*w**2 - 9*w + 4. Let t be c(9). Let k be (-1)/(-6) - t/(-12). Find j, given that 0*j + 1/2*j**3 + 0 + k*j**2 = 0.
-1, 0
Let y(l) be the second derivative of -l**5/100 + l**4/30 + 2*l**3/15 - 4*l**2/5 - 8*l. Solve y(u) = 0.
-2, 2
Let u = -539/3 - -181. Suppose -13/3*n**4 - 11/3*n + u*n**5 + 7/3*n**3 + 11/3*n**2 + 2/3 = 0. Calculate n.
-1, 1/4, 1, 2
Let l(j) = j**3 + j + 1. Let z(d) = 21*d**3 - 6*d**2 + 18*d + 18. Let q(x) = 18*l(x) - z(x). Let q(t) = 0. What is t?
0, 2
Suppose 0*f + f - 10 = 0. Let j be (8/f)/((-8)/(-20)). Factor 0*t**2 - 2*t - t**j - t**2 + 1 + 3*t**2.
(t - 1)**2
Let l(y) be the first derivative of -y**3/3 + 2*y**2 - 4*y - 6. Factor l(a).
-(a - 2)**2
Let t(k) be the third derivative of -1/21*k**4 + 0 + 0*k + 1/210*k**5 + 4/21*k**3 - k**2. Solve t(p) = 0 for p.
2
Factor -1/4 - 3/8*u - 1/8*u**2.
-(u + 1)*(u + 2)/8
Let s be 0/(3 - (3 + 0)/3). Solve 0 + 0*j**2 - 1/2*j + j**3 - 1/2*j**5 + s*j**4 = 0 for j.
-1, 0, 1
Let u**3 + 14*u - 9*u - 6*u**3 = 0. Calculate u.
-1, 0, 1
Factor 2*n + 2/3*n**3 - 2/3 - 2*n**2.
2*(n - 1)**3/3
Let v(l) be the second derivative of 5*l**7/168 - 13*l**6/120 - 3*l**5/40 - 54*l. Solve v(b) = 0.
-2/5, 0, 3
Factor 0 - 2/13*p + 4/13*p**2 - 2/13*p**3.
-2*p*(p - 1)**2/13
Let u(l) be the first derivative of 0*l + 2/35*l**5 - 1 + 0*l**3 + 0*l**2 - 1/7*l**4. Factor u(m).
2*m**3*(m - 2)/7
Factor -8/3*o - 8/3*o**2 - 2/3*o**3 + 0.
-2*o*(o + 2)**2/3
Suppose 2 = -4*s - 22. Let a(w) = 7*w**2 + 6*w + 5. Let k(q) = 6*q**2 + 5*q + 4. Let r(h) = s*k(h) + 5*a(h). Suppose r(n) = 0. What is n?
-1, 1
Suppose 2*q - 15 = -3*q. Suppose 5 - 17 = -q*r. Find y, given that -4*y**4 + y + y**4 + 3*y**2 + r*y**4 + 3*y**3 = 0.
-1, 0
Suppose 5*i = 2*j - 5 + 33, -5*i + j + 24 = 0. Suppose -8*y + 20 = -i*y. Factor 5*h**3 + 0*h**3 - h**2 + 8 - h**4 - 4*h - y*h**2.
-(h - 2)**3*(h + 1)
Determine w so that -2*w + 3*w**2 - 6*w**3 - 6*w**4 + 3*w**5 + 5*w + 10*w**2 - 6 - w**2 = 0.
-1, 1, 2
Let y(r) be the third derivative of r**5/20 + 3*r**4/8 + r**3 + r**2. Factor y(u).
3*(u + 1)*(u + 2)
Let j = 20 + -17. Let h(a) be the first derivative of -1 - 1/4*a**5 - 1/4*a - 5/6*a**j - 5/8*a**2 - 1/24*a**6 - 5/8*a**4. Factor h(k).
-(k + 1)**5/4
Let l be (1 - 0)*(-2 - -4). Factor l - 3 - 11*t + 3 + 15*t**2.
(3*t - 1)*(5*t - 2)
Suppose -5*i + 0*i - 70 = 0. Let u be i/(-2) - 3 - 2. Let 26*m**3 + u*m**3 + 111*m**4 - 21*m**2 - 6*m + 8*m**3 + 60*m**5 = 0. Calculate m.
-1, -1/4, 0, 2/5
Let s = 68 + -66. Factor 2/5 + 4/5*a**3 - 12/5*a**4 + a**5 + 2*a**s - 9/5*a.
(a - 1)**3*(a + 1)*(5*a - 2)/5
Suppose -4*p + 8 = 4*u, -3*p + 3 = 2*u - 3. Factor -4*i - p*i**3 - 4/3 - 1/3*i**4 - 13/3*i**2.
-(i + 1)**2*(i + 2)**2/3
Let n(y) = y**2 + 3*y - 2. Let z(i) = -i. Let h(m) = n(m) + 4*z(m). Find c, given that h(c) = 0.
-1, 2
Suppose -g + 3*q = 9, 4*g + 2*q - 12 = -2*q. Factor -6/5*m**4 - 1/5*m**3 + g*m + 0*m**2 - 9/5*m**5 + 0.
-m**3*(3*m + 1)**2/5
Let z(f) be the third derivative of -f**7/70 - f**6/20 + 3*f**5/20 + f**4 + 2*f**3 - 16*f**2. Find i, given that z(i) = 0.
-2, -1, 2
Let f(y) be the second derivative of -6*y**6/35 - 9*y**5/35 + y**4/21 + 2*y**3/21 - 47*y. Determine k so that f(k) = 0.
-1, -1/3, 0, 1/3
Let a = -4223/13 - -325. Suppose 10/13*l**2 + a*l**4 + 0 - 8/13*l**3 - 4/13*l = 0. Calculate l.
0, 1, 2
Let t = 9 - 18. Let r = t - -11. Suppose 0 - n - 1/2*n**r = 0. Calculate n.
-2, 0
Let j(g) be the third derivative of 0*g - 3/110*g**5 - 1/66*g**4 + 0*g**3 + 5*g**2 + 0. Factor j(o).
-2*o*(9*o + 2)/11
Let i = -2/33 + 13/33. Let y be (-4)/(2/1)*-1. What is k in 0*k + i*k**3 - 1/3*k**4 + 0 + 0*k**y = 0?
0, 1
Let v(f) = -f**2 - 10*f + 60. Let o be v(-14). Suppose 0*i + 2/5*i**3 + 0*i**2 - 2/5*i**o + 0 = 0. Calculate i.
0, 1
Find u, given that 3/2*u**4 + 0*u - 3*u**3 + 0 + 0*u**2 = 0.
0, 2
Let n(b) be the first derivative of -b**3/7 - 15*b**2/7 - 75*b/7 + 4. Factor n(s).
-3*(s + 5)**2/7
Let k(d) be the first derivative of -d**6/51 + d**4/34 + 1. Factor k(m).
-2*m**3*(m - 1)*(m + 1)/17
Solve -1/4*i**3 - 1/4*i**2 + 1/4 + 1/4*i = 0.
-1, 1
Factor 1/2*i - 1/2*i**3 + 1/3 - 1/6*i**4 - 1/6*i**2.
-(i - 1)*(i + 1)**2*(i + 2)/6
Let l(c) be the first derivative of 4*c**5/15 + 2*c**4 + 16*c**3/3 + 16*c**2/3 - 29. Factor l(r).
4*r*(r + 2)**3/3
What is p in -2*p - 1 - 1/4*p**3 - 5/4*p**2 = 0?
-2, -1
Let d(v) = -2*v**2 - 12*v - 10. Let o be d(-5). Factor 2/3*r**2 + 2/3*r + o.
2*r*(r + 1)/3
Let o(i) = -10*i**4 + 8*i**3 - 24*i**2 + 32*i - 25. Let b(q) = -q**4 - q**2 - 1 + 0 + q**2. Let x(j) = 18*b(j) - 2*o(j). Factor x(k).
2*(k - 2)**4
Let f(x) be the first derivative of x**6/9 + 4*x**5/15 + x**4/6 + 8. Let f(a) = 0. What is a?
-1, 0
Let i = 4/105 - -38/105. Factor i*w**3 + 0*w + 0*w**2 + 0.
2*w**3/5
Factor -15*g**2 + 0*g + 16*g**2 - 2*g + 3*g.
g*(g + 1)
Let z(r) be the second derivative of -r**7/735 - r**6/210 - r**5/210 - 5*r**2/2 - r. Let h(g) be the first derivative of z(g). Factor h(k).
-2*k**2*(k + 1)**2/7
Suppose 2*j + 0*j - 8 = 0. What is k in -4*k**3 + 3*k + 2*k**j + 6*k**5 - 3*k = 0?
-1, 0, 2/3
Let p be (-2)/30 - (-2257)/555. Solve -4/5*b**2 + 0 + 2*b**p + 0*b - 6/5*b**3 = 0.
-2/5, 0, 1
Let o(i) = 39*i**2 + 129*i + 90. Let z(s) = 3*s**2 + 10*s + 7. Let t(c) = 2*o(c) - 27*z(c). Determine w so that t(w) = 0.
-3, -1
Let z(h) be the second derivative of h**7/399 - h**5/190 + 31*h. What is y in z(y) = 0?
-1, 0, 1
Let u be 27/56 - (-24)/64. Determine s, given that 3/7*s**4 + 3/7*s**5 + 3/7 - 6/7*s**3 + 3/7*s - u*s**2 = 0.
-1, 1
Let r(h) be the first derivative of h**6/60 + 2*h**5/25 + 3*h**4/20 + 2*h**3/15 + h**2/20 - 1. Find n such that r(n) = 0.
-1, 0
Let j(d) be the third derivative of d**9/1512 - d**8/840 - d**3/6 + d**2. Let s(g) be the first derivative of j(g). Factor s(m).
2*m**4*(m - 1)
Let x(y) be the first derivative of 4/9*y**3 - 4 + 0*y + 0*y**2. Solve x(k) = 0.
0
Let x(z) be the first derivative of -z**6/7 + 22*z**5/35 - 9*z**4/14 - 2*z**3/3 + 12*z**2/7 - 8*z/7 - 1. Let x(f) = 0. Calculate f.
-1, 2/3, 1, 2
Let p(u) be the first derivative of 2 + 0*u + 0*u**4 + 1/60*u**5 - 1/6*u**3 + u**2. Let f(k) be the second derivative of p(k). Solve f(g) = 0.
-1, 1
Let r(d) be the third derivative of -d**7/8820 - d**6/1260 - d**5/420 + d**4/24 - 3*d**2. Let s(t) be the second derivative of r(t). Factor s(n).
-2*(n + 1)**2/7
Let d(a) be the third derivative of -a**4/24 - a**3/6 - 3*a**2. Let t(h) = -h**2 - 4*h - 5. Let w(r) = 15*d(r) - 3*t(r). Factor w(k).
3*k*(k - 1)
Let v(i) be the third derivative of 8*i**7/105 - i**5/5 + i**4/6 - 12*i**2. Determine y so that v(y) = 0.
-1, 0, 1/2
Let q = -2 - -2. Suppose 5*r + 5*c - 25 = 0, 0 = -q*r + 4*r - 2*c - 8. Factor -r - 2*t + 1 + 2*t**2 + 0*t**3 + 2*t**3.
2*(t - 1)*(t + 1)**2
Find j such that 0 - 4/7*j - 10/7*j**2 - 2/7*j**4 - 8/7*j**3 = 0.
-2, -1, 0
Suppose -10*b + 6 = 6. Let q(n) be the second derivative of 3*n + 1/8*n**4 + 0 + b*n**3 - 1/40*n**5 - n**2. Factor q(o).
-(o - 2)**2*(o + 1)/2
Let m = -52 + 52. Factor m - 2/9*w**2 - 2/9*w.
-2*w*(w + 1)/9
Suppose d**2 + 1 - 5/2*d + 2*d**3 - 2*d**4 + 1/2*d**5 = 0. Calculate d.
-1, 1, 2
Let j(i) = 2*i**2 + 11*i + 8. Let l(s) = 35*s - 25*s - s**2 + 3*s**2 + 8. Let a(v) = -2*j(v) + 3*l(v). Suppose a(y) = 0. What is y?
-2
Let m be (-2 - -9)*(0 - -1). Suppose 0 = t - m - 5. Solve -18*j**2 - 2 + 0 + 12*j - 4*j**3 + t*j**3 = 0 for j.
1/4, 1
Let w(n) be the third derivative of -n**5/300 + n**4/60 + n**3/10 + 5*n**2. Suppose w(f) = 0. Calculate f.
-1, 3
Factor 1/3*o + 1/3*o**3 + 0 - 2/3*o**2.
o*(o - 1)**2/3
Factor 4/7*w**3 + 0*w - 2/7*w**4 + 0 + 6/7*w**2.
-2*w**2*(w - 3)*(w + 1)/7
Let c(z) be the first derivative of -z**5/50 -