3 + 7*z + 4*z**i = 0 for z.
1, 2
Let i(m) = -3*m**2 + 2*m. Let u be i(2). Let t = 8 + u. Suppose 0 + 1/2*b**4 - 1/2*b**2 + t*b**3 + 0*b = 0. What is b?
-1, 0, 1
What is d in 2*d**2 + 0*d - 4*d + 13*d**3 + 3*d - 14*d**3 = 0?
0, 1
Suppose 0 = -h - 2*h + 9. Suppose -f - 2*t - 3*t = h, 2*t = -2*f + 2. Suppose -3/4*q**3 + 3/4*q**f + 0 + 0*q = 0. What is q?
0, 1
Let t be ((-19)/190)/(4/(-16)*2). Factor 0 - 1/5*l + t*l**2.
l*(l - 1)/5
Let h(s) be the second derivative of -1/2*s**2 - 3*s + 1/2*s**3 + 0 - 3/20*s**5 + 1/12*s**4. Factor h(f).
-(f - 1)*(f + 1)*(3*f - 1)
Let j(x) be the first derivative of 1 - 3*x**2 - 9*x - 1/3*x**3. Factor j(g).
-(g + 3)**2
Let j(n) be the third derivative of n**5/30 - n**4/24 - n**3/6 - 24*n**2. Factor j(f).
(f - 1)*(2*f + 1)
Let v = 331/510 - -3/170. Suppose -v*t**2 + 0 + 1/3*t**3 + 1/3*t = 0. What is t?
0, 1
Let t(b) = -b**4 - b**3 + 9*b**2 + 7*b - 2. Let n(w) = -w**2 - w. Let v(a) = -6*n(a) - t(a). Factor v(q).
(q - 1)**2*(q + 1)*(q + 2)
Let v(a) be the first derivative of a**6/150 - a**5/50 + a**4/60 + 4*a - 5. Let z(x) be the first derivative of v(x). Factor z(p).
p**2*(p - 1)**2/5
Let j = 271 + -2977/11. Determine o, given that j*o + 2/11*o**2 + 0 - 2/11*o**3 = 0.
-1, 0, 2
What is u in -156*u**4 - 76*u**2 + 0*u + 3*u + 5*u - 173*u**4 + 147*u**5 + 250*u**3 = 0?
0, 2/7, 2/3, 1
Let g(s) be the second derivative of s**7/63 + 2*s**6/45 - s**4/9 - s**3/9 - s. Factor g(a).
2*a*(a - 1)*(a + 1)**3/3
Let l(f) be the first derivative of f**5/5 + 11*f**4/4 + 10*f**3/3 + 19. Suppose l(a) = 0. What is a?
-10, -1, 0
Let r = 1 - -2. Suppose 2*t**2 + 5*t**2 - r*t**3 + t**3 - 5*t**2 = 0. What is t?
0, 1
Let x(o) be the first derivative of -2*o**5/85 - o**4/34 + 2*o**3/51 + o**2/17 + 4. Determine u so that x(u) = 0.
-1, 0, 1
Let j(v) = v**2 + 8*v - 6. Let h be j(-9). Factor -3*u + 10*u**h - 3 + 21*u - 24*u**2 + 4 - 5.
2*(u - 1)**2*(5*u - 2)
Let f(j) be the third derivative of -j**6/240 + j**5/24 + j**4/8 + 49*j**2. Factor f(o).
-o*(o - 6)*(o + 1)/2
Let s(j) = j**2 - j - 4. Let u be s(5). Let b(f) = -6*f**3 + 4*f**2 + 10*f - 16. Let q(g) = 2*g**3 - g**2 - 3*g + 5. Let y(n) = u*q(n) + 5*b(n). Factor y(p).
2*p*(p + 1)**2
Find w such that -2/3*w**3 - 2/3*w**2 + 0*w + 0 = 0.
-1, 0
Let n(k) be the third derivative of k**5/60 - k**4/12 + k**3/6 + k**2. Solve n(d) = 0.
1
Let a(p) be the first derivative of -5*p**4/4 - 5*p**3 + 5*p**2/2 + 15*p - 58. Factor a(o).
-5*(o - 1)*(o + 1)*(o + 3)
Let b(r) be the second derivative of -r**6/75 + r**5/25 - 2*r**3/15 + r**2/5 - 8*r. Find w, given that b(w) = 0.
-1, 1
Suppose 2*u - 2*d = 0, -u = -4*u - 2*d. Factor 4/5*i**4 - 2/5*i + 2/5*i**5 + 0 - 4/5*i**2 + u*i**3.
2*i*(i - 1)*(i + 1)**3/5
Let c(j) be the first derivative of -4*j**3 - 45*j**2/2 + 12*j + 21. What is a in c(a) = 0?
-4, 1/4
Let x be -5*(91/(-35) + 2). Factor -10/3*q**x + 16/3 - 2/3*q**4 + 8/3*q - 4*q**2.
-2*(q - 1)*(q + 2)**3/3
Let g(l) be the first derivative of 6*l**5/35 + 6*l**4/7 + 6*l**3/7 + 15. Factor g(d).
6*d**2*(d + 1)*(d + 3)/7
Let r be (3 - 7 - -3)*(-2)/5. Find w, given that -r*w**3 + 0*w + 0 + 0*w**2 = 0.
0
Let l(q) be the first derivative of -15*q**4/4 + 65*q**3/3 - 40*q**2 + 20*q + 13. Factor l(y).
-5*(y - 2)**2*(3*y - 1)
Let o(q) = q**3 + 2*q**2 - 1. Let d be o(1). Let f be d/(-8) - (3 + -4). What is m in -f*m**2 + 3/4*m**4 + 1/4*m**3 + 0 - 1/4*m = 0?
-1, -1/3, 0, 1
Suppose -2*b - y + 8 = 0, -y - 3*y + 8 = 0. Suppose -s = -4*g - 0*s, 0 = b*g + 3*s. Factor -1/4*n**3 - 1/4*n**4 + 1/4*n**2 + 1/4*n + g.
-n*(n - 1)*(n + 1)**2/4
Let r(z) be the first derivative of 49*z**6/720 + 7*z**5/60 + z**4/12 + 2*z**3/3 + 4. Let m(u) be the third derivative of r(u). Factor m(j).
(7*j + 2)**2/2
Let g(u) be the first derivative of -3/5*u**5 + 0*u**2 + 3/4*u**4 + 1 + 0*u - 1/3*u**3 + 1/6*u**6. Solve g(o) = 0.
0, 1
Let m(f) be the second derivative of 0 - 9/40*f**6 - 3*f - 3/16*f**4 + 27/80*f**5 + 1/24*f**3 + 0*f**2. Factor m(w).
-w*(3*w - 1)**3/4
Let z = -4 + 6. Let l(v) = v**3 - 2*v**2 + 2*v - 1. Let o be l(z). Factor 42 - 42 + b**o + b**2.
b**2*(b + 1)
Let -4/3*p**2 + 2/3*p**5 - 2/3*p + 4/3*p**4 + 0 + 0*p**3 = 0. Calculate p.
-1, 0, 1
Factor m**4 - 2*m**4 + 3*m**4 + 2*m**2 - 4*m**2.
2*m**2*(m - 1)*(m + 1)
Let k(a) be the second derivative of -a**5/15 + a**4/9 + 8*a**3/9 - 8*a**2/3 + 3*a + 15. Let k(z) = 0. What is z?
-2, 1, 2
Let b(k) be the first derivative of 3/4*k**4 + 2 + 3/5*k**5 + 1/3*k**3 + 1/6*k**6 + 0*k**2 + 0*k. Determine y so that b(y) = 0.
-1, 0
Let u be 13/15 + 1 + (-44)/(-330). Let h(f) be the second derivative of 0 - 2*f + 0*f**u - 1/27*f**3 + 0*f**4 + 1/90*f**5. Find s such that h(s) = 0.
-1, 0, 1
Let o(y) be the third derivative of 1/20*y**5 + 1/4*y**4 + 0 + 4*y**2 + 2/3*y**3 + 1/240*y**6 + 0*y. Factor o(a).
(a + 2)**3/2
Find t such that -2/3*t**3 - 10*t + 6 + 14/3*t**2 = 0.
1, 3
Factor -7/3*f - 1/3*f**2 - 10/3.
-(f + 2)*(f + 5)/3
Let o = -122 - -3. Let z = o + 361/3. Factor z + 14/3*n + 16/3*n**2 + 2*n**3.
2*(n + 1)**2*(3*n + 2)/3
Let f(m) be the second derivative of m**4/30 - m**3/15 - 2*m**2/5 - m. Solve f(z) = 0 for z.
-1, 2
Let l be 27/2 - 3/2. Solve 6*k**3 + 15*k**2 + 18*k + 6*k - 4*k**2 + 21*k**4 + l - 74*k**2 = 0 for k.
-2, -2/7, 1
Suppose -2*o + 4*o - 98 = -2*a, 0 = -2*a + 2*o + 118. Let w be 7/28 - a/(-40). Suppose -196/5*q**5 + 0 - 16*q**2 - w*q - 406/5*q**4 - 282/5*q**3 = 0. What is q?
-1, -1/2, -2/7, 0
Suppose -4*r - 28 = -4*z, 6*r - 4*r - 4 = -4*z. Find l such that -2/7*l**4 + 0 + 0*l**2 + 2/7*l**z + 0*l = 0.
0, 1
Let h be (-45)/8 - (-15 - -105)/(-15). Factor h*z**3 + 0 - 1/2*z + 9/8*z**4 - z**2.
z*(z - 1)*(3*z + 2)**2/8
Suppose -2*g - 2*q = -5*g - 4, 0 = -4*g - 3*q + 23. Factor 6*r**g - r**4 + 3*r**4 - 5*r**4 - 3.
-3*(r - 1)**2*(r + 1)**2
Suppose -3*i + 54 = -i. Let t(g) = 39*g**3 - 12*g. Let c(n) = -3*n**3 + n. Let w(u) = i*c(u) + 2*t(u). Find f, given that w(f) = 0.
-1, 0, 1
Let v = -1266 - -11398/9. Factor -v*f + 0*f**2 + 1/9*f**3 + 0.
f*(f - 2)*(f + 2)/9
Let z = 200 - 596/3. Solve 2/3*h**2 - 2/3*h - z = 0 for h.
-1, 2
Factor 1/8*x - 7/4*x**3 - 11/8*x**4 + 1/8 - 3/8*x**5 - 3/4*x**2.
-(x + 1)**4*(3*x - 1)/8
Factor 6*v**2 - 4*v**4 - 4*v**2 - 2*v**2 + 4*v**3.
-4*v**3*(v - 1)
Let a(o) be the third derivative of o**5/360 - o**4/48 - 5*o**3/18 + 36*o**2. Factor a(h).
(h - 5)*(h + 2)/6
Let m(i) be the second derivative of -i**8/168 + i**6/30 - i**4/12 - i**2 - i. Let u(t) be the first derivative of m(t). Suppose u(r) = 0. Calculate r.
-1, 0, 1
Let l(c) be the second derivative of -c**9/15120 - c**8/8960 + c**7/10080 - c**4/12 - c. Let t(z) be the third derivative of l(z). Find k, given that t(k) = 0.
-1, 0, 1/4
Suppose -4*u - 6 - 10 = 0. Let f be u/18 - 28/(-18). Factor -2*i + 0*i**2 + 2/3*i**3 - f.
2*(i - 2)*(i + 1)**2/3
Let k(n) be the third derivative of 0 + 1/80*n**6 - 3/16*n**4 + 0*n - 3*n**2 + 1/2*n**3 + 0*n**5. Factor k(w).
3*(w - 1)**2*(w + 2)/2
Let x = -12/11 - -71/55. Let 0 + 1/5*q + x*q**2 = 0. What is q?
-1, 0
Suppose -4*c - 5*u = -3*u, 4*u = -c. Let g be 2/8*2 + c. What is w in -1/2*w + 5/4*w**4 + g*w**3 + 0 - 5/4*w**2 = 0?
-1, -2/5, 0, 1
Let b be (-3)/(6/(-8)) - 0. Let z(q) be the second derivative of 1/10*q**5 + 8/3*q**3 - b*q**2 + q - 5/6*q**4 + 0. Factor z(m).
2*(m - 2)**2*(m - 1)
Let l be (-2 - 64/(-28))/(1/14). Factor -g**2 + 1/2*g**l + 1/2*g**3 + 0*g + 0.
g**2*(g - 1)*(g + 2)/2
Let c(f) be the second derivative of -f**4/6 - f**3/3 + 2*f**2 + 25*f. Factor c(u).
-2*(u - 1)*(u + 2)
Let t be 9 + 5/((-25)/35). Find y such that -4/3*y + 2/9*y**2 + t = 0.
3
Let h(z) be the third derivative of -5*z**8/336 - z**7/21 - z**6/24 + 17*z**2. Let h(i) = 0. What is i?
-1, 0
Let q = -1/1175 - -24679/4700. Let r = 1/924 + 1963/462. Determine i so that 41/4*i**3 - 1/2 - 5/4*i + r*i**2 + q*i**4 = 0.
-1, -2/7, 1/3
Let l be (10/3)/(8/12). Let c be 22/(-55) + 17/l. Find n, given that 0*n**2 - 2/11*n + 0 + 2/11*n**c = 0.
-1, 0, 1
Let q(y) be the second derivative of y**9/2016 + y**8/560 - y**6/120 - y**5/80 - y**3/3 + 4*y. Let d(v) be the second derivative of q(v). Factor d(r).
3*r*(r - 1)*(r + 1)**3/2
Let w(u) be the second derivative of 33*u**5/20 - 9*u**4/4 - u**3 + 10*u. Determine q so that w(q) = 0.
-2/11, 0, 1
Determine t, given that 0 + 1/6*t**3 - 7/3*t - 5/6*t**2 = 0.
-2, 0, 7
Determine p, given that 37 + 3