b - 1/6*b**3 - 1/2*b**2 + 0. Find i, given that f(i) = 0.
-2
Let i(m) = 3 - 7*m**2 - 4*m**3 + 8*m + m**3 + 2*m**3. Let q be i(-8). Solve q - 6 - 7*c + 1 + 3*c + 14*c**2 - 8*c**3 = 0 for c.
-1/4, 1
Let t(d) = 3*d + 36. Let w be t(-11). Factor -2/3*y + 2/3*y**w + 1/3 - 1/3*y**2.
(y - 1)*(y + 1)*(2*y - 1)/3
Find u such that 28/5*u**2 + 64/15 - 2/3*u**3 - 64/5*u = 0.
2/5, 4
Let r(n) be the first derivative of n**5/120 + n**4/48 + 5*n**2/2 + 1. Let o(l) be the second derivative of r(l). Factor o(g).
g*(g + 1)/2
Let -2/9*p**3 - 2/9*p + 0 - 4/9*p**2 = 0. What is p?
-1, 0
Factor -6*v**3 + 7*v**3 - 44*v**2 - 64*v + 14 - 7*v**3 + 50.
-2*(v + 4)**2*(3*v - 2)
Suppose 2*a + 5*a - 21 = 0. Let p(g) be the first derivative of -1/14*g**4 + 2/7*g**3 + 2/7*g - 3/7*g**2 + a. Factor p(b).
-2*(b - 1)**3/7
Let u(a) be the first derivative of 5*a**8/504 - 2*a**7/315 - a**6/36 + a**5/45 - a**2/2 - 3. Let y(o) be the second derivative of u(o). What is z in y(z) = 0?
-1, 0, 2/5, 1
Let y(l) be the first derivative of 2/3*l**3 + 1/5*l**5 + 3 + l + 1/30*l**6 + 1/2*l**2 + 1/2*l**4. Let i(t) be the first derivative of y(t). Solve i(q) = 0.
-1
Let q = -13 + 20. Let d = -2 + q. Factor 8*z - d - 2*z**2 + 0*z - 3.
-2*(z - 2)**2
Suppose -22 = -4*h + 2*i, -3*i = 4*h - 4*i - 17. Let r(w) be the second derivative of 0 + 4/7*w**2 - 1/70*w**5 - w - 1/14*w**4 + 0*w**h. Factor r(o).
-2*(o - 1)*(o + 2)**2/7
Let b(s) be the second derivative of s**6/20 - 3*s**5/40 - s**4/4 - 21*s. Suppose b(t) = 0. Calculate t.
-1, 0, 2
Let k = -6/43 - -73/215. Factor 0*r + 0 - k*r**2.
-r**2/5
Let j(m) = m**2 + 2*m + 5. Suppose a + 2*a = 12. Let s(k) = k. Let v(h) = 5*h + 1. Let q(u) = 4*s(u) - v(u). Let p(b) = a*q(b) + j(b). Factor p(n).
(n - 1)**2
Let r(f) = -9*f**3 + 3*f**2 + 9*f - 13. Let s(m) = -m**3 - m**2 + m - 1. Let k(z) = r(z) - 5*s(z). Let k(t) = 0. Calculate t.
-1, 1, 2
Let j(o) = -5*o**4 - 6*o**3 - 8*o**2 + 6*o + 1. Let a(u) = -4*u**4 - 5*u**3 - 7*u**2 + 5*u + 1. Let x(q) = -6*a(q) + 5*j(q). Let x(k) = 0. What is k?
-1, 1
Let l be 95/(-15)*3 - -1. Let o be 2 + 3*4/l. Find u, given that 2/3*u**5 + 4/3*u**2 - 2*u + 2/3 + o*u**3 - 2*u**4 = 0.
-1, 1
Suppose -14*f**3 + 42*f**2 + 106*f - 253*f + 6*f**3 + 5*f**3 = 0. What is f?
0, 7
Factor 0 - 4/3*c - 16/3*c**2 - 7/3*c**3.
-c*(c + 2)*(7*c + 2)/3
Suppose -r - 246 - 300 = 3*b, 4*b + 733 = -3*r. Let y = b + 1269/7. Let y*u**2 + 0 + 0*u = 0. Calculate u.
0
Let b(s) be the first derivative of -5*s**6/6 + s**5 + 5*s**4/2 - 10*s**3/3 - 5*s**2/2 + 5*s - 10. Solve b(c) = 0 for c.
-1, 1
Let d(j) be the third derivative of -j**6/360 + 2*j**5/45 - 5*j**4/18 + 8*j**3/9 + 4*j**2 + 3*j. Factor d(p).
-(p - 4)*(p - 2)**2/3
What is i in 0*i**2 - 32/3 + 32/3*i + 2/3*i**4 - 8/3*i**3 = 0?
-2, 2
Let j(u) = -u**2 - 8*u - 5. Let m be j(-7). Let -2*p**2 - 2*p**3 - p + 3*p + m*p**4 + 2*p**4 - 2*p**4 = 0. What is p?
-1, 0, 1
Let r(l) be the first derivative of l**7/350 - 3*l**5/100 - l**4/20 + 2*l**2 + 3. Let f(z) be the second derivative of r(z). Factor f(p).
3*p*(p - 2)*(p + 1)**2/5
Let p(l) be the second derivative of -l**6/2 - l**5/4 + 10*l**4/3 - 10*l**3/3 - 2*l. Factor p(x).
-5*x*(x - 1)*(x + 2)*(3*x - 2)
Let f = -5 - -11. Suppose -c - 2*s = 0, 5*s + 1 = 4*c - f*c. Suppose 0*j + 0*j**c + 0 - 2/7*j**3 = 0. Calculate j.
0
Let j be (2/(-12)*0)/(5 - 6). What is k in j - 2/7*k**4 - 1/7*k**5 + 2/7*k**2 + 0*k**3 + 1/7*k = 0?
-1, 0, 1
Let k(x) be the first derivative of x**6/27 + 2*x**5/15 + x**4/18 - 2*x**3/9 - 2*x**2/9 - 5. Find g such that k(g) = 0.
-2, -1, 0, 1
Let b(a) be the third derivative of a**6/200 + a**5/300 - a**4/15 + 2*a**3/15 - 16*a**2. Solve b(v) = 0.
-2, 2/3, 1
Let k(r) be the first derivative of 3*r**4/8 - r**3/6 - 2*r**2 - 2*r + 18. Let k(y) = 0. What is y?
-1, -2/3, 2
Let j(k) = -4*k**4 + 19*k**3 - 96*k**2 + 259*k - 259. Let h(r) = 3*r**4 - 18*r**3 + 96*r**2 - 258*r + 258. Let b(z) = 6*h(z) + 4*j(z). Factor b(u).
2*(u - 4)**4
Factor -2/11*b + 0 + 2/11*b**2.
2*b*(b - 1)/11
Determine v so that -1/4 - 1/4*v**2 - 1/2*v = 0.
-1
Suppose -3*n - n + 132 = 0. Let b be n/(-24)*2 + 3. Let b*x**5 + 0*x + 1/2*x**4 + 1/4*x**3 + 0 + 0*x**2 = 0. What is x?
-1, 0
Let y be 9/(-2 + (-86)/(-40)). Let u = y + -41. Suppose 2*g**2 - 16*g**2 + 3*g**3 - u*g**3 - 6*g**4 - 4*g = 0. Calculate g.
-1, -2/3, 0
Factor -1/2*n**3 - 5/2*n**2 - 7/2*n - 3/2.
-(n + 1)**2*(n + 3)/2
Let u(g) = 15*g**2 + 5*g. Let p(o) = -8*o**2 - 3*o. Let n(a) = 5*p(a) + 3*u(a). Factor n(z).
5*z**2
Let f(r) be the second derivative of -r**5/5 + 2*r**4/3 + 2*r - 1. Determine h, given that f(h) = 0.
0, 2
Let h(a) = a**3 - 5*a**2 - 5*a + 5. Let j be h(5). Let u be j/8*(-6)/5. Factor 0*b + 1/2*b**4 + 0 + 2*b**2 + 2*b**u.
b**2*(b + 2)**2/2
Let g be (-2)/(-6) - (-13)/39. Let d(z) be the first derivative of z**2 + 0*z - 1 + g*z**3. Factor d(s).
2*s*(s + 1)
Let p be 9/3*(-48)/(-9). Factor 22*w**3 - 1 + 5*w + p*w - 19*w**3 + 10 + 15*w**2.
3*(w + 1)**2*(w + 3)
Let x(a) be the first derivative of a**4 - 16*a**3/3 + 6*a**2 + 6. Determine c so that x(c) = 0.
0, 1, 3
Let i(p) = 10*p + 562. Let w be i(-56). Factor -3/5*r**3 + 1/5*r**w + 2/5*r**4 + 0 + 0*r.
r**2*(r - 1)*(2*r - 1)/5
Let b = 1058 - 3083/3. Let n = -30 + b. Factor 1/3*h**3 + 2/3 - n*h - 2/3*h**2.
(h - 2)*(h - 1)*(h + 1)/3
Let x(k) = -k**5 + 6*k**4 + 7*k**3 - 7*k**2 - k + 1. Let o(a) = -a**3 + 4*a**4 + 2*a**4 + a**2 - 7*a**4. Let u(s) = -15*o(s) - 3*x(s). Solve u(b) = 0 for b.
-1, 1
Let x(p) be the first derivative of -2*p**3/21 - 13. Factor x(b).
-2*b**2/7
Let c(w) = -w**3. Let p(a) be the second derivative of -a**5/10 - a**4/12 + 2*a. Let f(m) = 3*c(m) - p(m). Factor f(i).
-i**2*(i - 1)
Let y(v) be the second derivative of 2*v**6/15 - v**5/5 - v**4/3 + 2*v**3/3 - 14*v. Factor y(d).
4*d*(d - 1)**2*(d + 1)
Let a(t) be the third derivative of 0*t - 1/120*t**6 + 3*t**2 - 5/24*t**4 + 0 + 1/3*t**3 + 1/15*t**5. Factor a(i).
-(i - 2)*(i - 1)**2
Let m(g) be the second derivative of -3/2*g**3 + 3/4*g**4 - 3/20*g**5 + 3/2*g**2 + 0 + 6*g. Factor m(z).
-3*(z - 1)**3
Let c(a) be the first derivative of a**5/40 - a**4/24 + 3*a + 8. Let o(z) be the first derivative of c(z). Factor o(n).
n**2*(n - 1)/2
Let l(g) be the second derivative of -g**6/360 - g**5/40 - 2*g**3/3 + 9*g. Let c(p) be the second derivative of l(p). Factor c(v).
-v*(v + 3)
Let n(o) be the second derivative of o**5/20 + o**4/4 - 2*o + 1. Determine l, given that n(l) = 0.
-3, 0
Let o be (6/(-117))/(1/1). Let u = 64/273 - o. Factor 2/7 - 2/7*r**2 - 2/7*r + u*r**3.
2*(r - 1)**2*(r + 1)/7
Let q(f) be the third derivative of f**5/720 + f**4/24 + f**3/2 - 7*f**2. Factor q(n).
(n + 6)**2/12
Let d(z) be the third derivative of 0*z**3 + 1/40*z**6 - 1/40*z**5 + 0*z + 1/140*z**7 + 0 - 1/8*z**4 - 2*z**2. Let d(q) = 0. What is q?
-2, -1, 0, 1
Suppose -5*c = 10, -c - 10 = 2*p - 6*p. Let r(y) be the first derivative of 0*y - 2/3*y**3 - y**p - 1. Solve r(f) = 0 for f.
-1, 0
Let n(c) = 2*c**2 - c + 5. Let p(j) = 5*j**2 - 2*j + 11. Let m = 16 - 13. Let d(h) = m*p(h) - 7*n(h). Factor d(z).
(z - 1)*(z + 2)
Let b(i) = 2*i**2 + 9*i + 3. Let m(x) = -x - 1. Let h(y) = -b(y) - 3*m(y). Let l(q) = 0*q**2 + 2*q**2 + q - q**2. Let w(z) = h(z) + 4*l(z). Factor w(s).
2*s*(s - 1)
Factor -3*p**2 + 13 - 9 - 9*p - 10.
-3*(p + 1)*(p + 2)
Let r be (3 + 0)*(-1)/(-3). Let t be 4/14 - r/28. Factor 1/2*c - t*c**2 - 1/4.
-(c - 1)**2/4
Let p(d) = -19*d**4 - 15*d**3 + 23*d**2 + 15*d - 11. Let l(b) = 9*b**4 + 7*b**3 - 11*b**2 - 7*b + 5. Let i(j) = 14*l(j) + 6*p(j). Let i(r) = 0. What is r?
-1, 1/3, 1
Find y, given that -3*y**2 + 34 - 12 - 16 - 3*y = 0.
-2, 1
Determine n so that 0*n**2 - 2/3*n**5 - 2/3*n**4 + 0*n + 0 + 0*n**3 = 0.
-1, 0
Suppose -2 = 5*i - 12. Determine g, given that 0*g - 10 - g**i - 6*g + 1 + 0*g**2 = 0.
-3
Let r(w) = 8*w**2 - 2*w + 6. Let b(i) = -17*i**2 + 4*i - 13. Let u(g) = 6*b(g) + 13*r(g). Determine t, given that u(t) = 0.
0, 1
Let u(i) be the third derivative of 3/80*i**5 + 0 + 3/32*i**4 + 1/8*i**3 + 0*i - 3*i**2 + 1/160*i**6. Factor u(l).
3*(l + 1)**3/4
Let v(r) be the second derivative of r**9/15120 + r**8/1680 + r**7/504 + r**6/360 + r**4/6 - 2*r. Let l(s) be the third derivative of v(s). Factor l(w).
w*(w + 1)**2*(w + 2)
Let f(s) be the second derivative of -s**10/30240 + s**9/7560 - s**7/1260 + s**6/720 - s**4/4 + 3*s. Let a