1*s(c). Suppose x(j) = 0. What is j?
-1, -2/9, 3
Let z(q) = q**3. Let x(i) = -10*i**2 - i**3 + 12*i**2 - 2*i**3. Let g(m) = -x(m) - 4*z(m). Solve g(v) = 0 for v.
-2, 0
Factor 2*s**2 - s**2 - 1 + s**2 - 6*s + 5.
2*(s - 2)*(s - 1)
Let k(u) be the first derivative of 1/8*u**4 + 0*u + 1/4*u**2 - 2 - 1/3*u**3. Factor k(g).
g*(g - 1)**2/2
Suppose -9*r + 5*r + 12 = 0. Let x(m) be the first derivative of 0*m - 2/5*m**2 + 22/15*m**r - 3/2*m**4 + 3. Factor x(b).
-2*b*(3*b - 1)*(5*b - 2)/5
Let w(q) be the second derivative of 0*q**2 - 4/9*q**4 + 2/9*q**3 + 7/60*q**5 + 7*q + 0. Suppose w(j) = 0. What is j?
0, 2/7, 2
Let o(m) be the second derivative of 1/25*m**5 - 1/75*m**6 - 2/15*m**3 + 0 + 1/5*m**2 + 0*m**4 + 7*m. Factor o(j).
-2*(j - 1)**3*(j + 1)/5
Let x(z) be the third derivative of -z**6/120 - z**5/12 - 7*z**4/24 - z**3/2 + 5*z**2. Solve x(c) = 0 for c.
-3, -1
Let l(w) = -w + 3. Let k be l(0). Find c, given that k*c**3 + 2*c**4 + c**4 - 6*c**2 + 3*c**2 - 3*c = 0.
-1, 0, 1
Let b(y) = -11*y**3 - 2*y**2 + 6*y - 3. Let s(x) = -5*x**3 - x**2 + 3*x - 1. Let n(z) = 2*b(z) - 5*s(z). Factor n(u).
(u - 1)*(u + 1)*(3*u + 1)
Let c(a) be the second derivative of -a**7/56 - 7*a**6/120 - a**5/16 - a**4/48 - 6*a. Factor c(u).
-u**2*(u + 1)**2*(3*u + 1)/4
Find h, given that 2/7*h**2 + 0 + 2/7*h = 0.
-1, 0
Let 149*w**2 + 13*w - 24 - 151*w**2 + 3*w = 0. Calculate w.
2, 6
Factor 0 + 1/6*n + 1/6*n**2.
n*(n + 1)/6
Let s(l) be the first derivative of 3*l**4/20 - l**3 + 12*l**2/5 - 12*l/5 - 9. Find o, given that s(o) = 0.
1, 2
Let a(f) be the first derivative of f**6 + 2*f**5 - f**4/3 - 28*f**3/9 - 7*f**2/3 - 2*f/3 - 27. Suppose a(d) = 0. What is d?
-1, -1/3, 1
Let n(h) = h**3 - 19*h**2 + 19*h - 14. Let u be n(18). What is a in 0 + 2/9*a + 8/9*a**2 + 8/9*a**u + 4/3*a**3 + 2/9*a**5 = 0?
-1, 0
Factor 9*i**2 - i**5 - 4*i**5 + 25*i**3 + 5*i**4 + 6*i**2.
-5*i**2*(i - 3)*(i + 1)**2
Let a = -6/31 + 123/155. Solve 2/5 + a*i + 1/5*i**2 = 0.
-2, -1
Let o be (-3*1)/((-6)/(-16)*-2). Let g(u) be the third derivative of 0 + 0*u + 2*u**2 + 1/18*u**3 + 1/18*u**o + 1/60*u**5. Factor g(l).
(l + 1)*(3*l + 1)/3
Let n(a) = -10*a + 2. Let f be n(-7). Suppose 4*y - f = -0*y. Factor -y*o**2 - 7*o + 4 + 9*o - 10*o**3 - 16*o**3 - 10*o**4.
-2*(o + 1)**3*(5*o - 2)
Suppose 2*b - 16 = -10. Suppose 4/9*c**2 + 2/9*c**b + 0*c + 0 = 0. What is c?
-2, 0
Let s(w) be the first derivative of -5*w**3/3 + 45*w**2 - 405*w + 2. What is o in s(o) = 0?
9
Let n(s) be the third derivative of 0 + 1/72*s**4 - 2*s**2 + 0*s + 0*s**3 + 1/180*s**5. Find j such that n(j) = 0.
-1, 0
Factor 94/3*q**2 + 56/3*q + 14/3*q**3 - 8.
2*(q + 1)*(q + 6)*(7*q - 2)/3
Suppose 4*q - 3 = 3*q. Factor -f + 10*f**2 - 6*f**3 + q*f - 6*f + 0*f.
-2*f*(f - 1)*(3*f - 2)
Let q(w) be the second derivative of 5*w**4/12 - 5*w**3/6 - 15*w**2 - w - 16. Factor q(d).
5*(d - 3)*(d + 2)
Let j(a) = -11*a**2 - a + 31. Let b(l) = 5*l**2 - 15. Let q(w) = -13*b(w) - 6*j(w). Factor q(m).
(m + 3)**2
Let k(o) be the third derivative of -1/112*o**8 + 0*o - 13/600*o**6 + 0 + 0*o**4 + 13/525*o**7 + 2*o**2 + 0*o**3 + 1/150*o**5. Suppose k(r) = 0. What is r?
0, 1/3, 2/5, 1
Factor 0*i + 2/7*i**3 + 2/7*i**2 - 4/7*i**4 + 0.
-2*i**2*(i - 1)*(2*i + 1)/7
Suppose 2*h = -k + 227, -3*h - h - 4*k + 448 = 0. Let q = 807/7 - h. Determine a, given that -q*a**2 + 4/7*a - 2/7 = 0.
1
Let v(l) be the first derivative of 3*l**5/25 - l**4/10 - l**3/15 - 45. Determine p, given that v(p) = 0.
-1/3, 0, 1
Let n(o) be the first derivative of -o**4 - 4*o**3/3 + 11. Factor n(g).
-4*g**2*(g + 1)
Let d be (-1 + 3/2)/((-6)/(-24)). Suppose 2*o + s - 1 = 0, -2*o + 13 = 3*s - 6*s. Find b such that 0 + 1/2*b - o*b**d = 0.
0, 1/4
Let g(b) be the third derivative of b**7/1155 - b**6/132 + 7*b**5/330 - b**4/44 - 39*b**2. Factor g(n).
2*n*(n - 3)*(n - 1)**2/11
Let z(y) be the first derivative of -y**7/2940 - y**6/1260 - y**3 + 3. Let o(r) be the third derivative of z(r). Suppose o(w) = 0. What is w?
-1, 0
Let p(f) be the first derivative of -1/9*f**2 + 1 + 0*f**3 + 1/54*f**4 - f. Let s(g) be the first derivative of p(g). What is t in s(t) = 0?
-1, 1
Let q(l) = -298*l**3 - 270*l**2 - 76*l - 4. Let p(y) = 297*y**3 + 269*y**2 + 77*y + 5. Let h(k) = -4*p(k) - 3*q(k). Determine b, given that h(b) = 0.
-1/3, -2/7
Let f(d) = -d**2 - d + 12. Let b be f(-4). Find x, given that -16/7*x**2 - 2/7*x + b - 32/7*x**3 = 0.
-1/4, 0
Let p(i) = -4*i**5 - 4*i**4 + 2*i**3 + 5*i**2 - 7*i - 7. Let m(f) = f**5 + f**4 + f**3 + f + 1. Let s(y) = -15*m(y) - 5*p(y). Find q such that s(q) = 0.
-2, -1, 1, 2
Find y, given that y - 1/3 + 1/3*y**3 - y**2 = 0.
1
Let u(a) be the first derivative of 3*a**4/4 - 6*a**2 - 23. Determine h so that u(h) = 0.
-2, 0, 2
Factor 3/4*x**2 + 0 - 1/4*x.
x*(3*x - 1)/4
Factor 8/3*k**3 + 4/3*k**4 - 4/3*k**5 + 4/3 - 4/3*k - 8/3*k**2.
-4*(k - 1)**3*(k + 1)**2/3
Factor 31*y + 3*y**2 + 100 + 9*y + 2*y**2 - y**2.
4*(y + 5)**2
Let t(g) be the second derivative of g**10/30240 + g**9/7560 - g**8/6720 - g**7/1260 - g**4/12 - 7*g. Let r(k) be the third derivative of t(k). Factor r(z).
z**2*(z - 1)*(z + 1)*(z + 2)
Let d(o) be the second derivative of o**4 + 4*o**3 + 9*o**2/2 + 12*o. Factor d(t).
3*(2*t + 1)*(2*t + 3)
Determine c so that 7*c**3 + 4/5*c**4 + 51/5*c**2 - 7/5 + 13/5*c = 0.
-7, -1, 1/4
Determine r, given that r**2 + 0 - 3/4*r - 1/4*r**3 = 0.
0, 1, 3
Let b = -6 + 6. Suppose 10 = 5*m - b*m. Factor -6*q**3 + 0*q**3 - 4 + 3*q**4 - q**4 + 2*q**m + 6*q.
2*(q - 2)*(q - 1)**2*(q + 1)
Suppose -5*c + 5*c + 1 + c - c**2 - c**3 = 0. What is c?
-1, 1
Let g be (10/(-15))/((-2)/18). Factor -s**4 - 4*s**4 + g*s**3 + 6*s**4 - 4*s**2 - 3*s**4.
-2*s**2*(s - 2)*(s - 1)
Let -9*b**2 + 10*b**2 - 5*b + 3*b + 0*b = 0. What is b?
0, 2
Let n(c) = -c**3 + 4*c**2 + 5*c + 2. Let u = 17 - 12. Let g be n(u). Suppose 0*s - 2*s - s**2 + 1 + 2*s**g = 0. Calculate s.
1
Let o(d) be the second derivative of 3*d**5/140 - d**4/14 - 5*d**3/14 + 9*d**2/7 - 12*d. Determine u, given that o(u) = 0.
-2, 1, 3
Let m = -2 + 5. Suppose 5*u = 2*h - 4, -2*u + m - 1 = h. Find o such that -o + o**5 - 2*o**3 + h*o + 0*o**3 = 0.
-1, 0, 1
Let z = -12 + 15. Let d(c) be the second derivative of 1/18*c**4 + 3*c + 2/9*c**z + 0 + 0*c**2. Suppose d(v) = 0. What is v?
-2, 0
Let x be (-1 - -3)*-1 - -2. Let q(y) be the second derivative of x + 2/21*y**3 - 1/7*y**2 + 2*y - 1/42*y**4. Factor q(c).
-2*(c - 1)**2/7
Determine c so that -2/5*c**4 - 2/15*c**5 - 2/15*c**3 + 0 + 4/15*c + 2/5*c**2 = 0.
-2, -1, 0, 1
Let p be -2*(0 - (-3)/(-2)). Suppose -10 = 5*d - 2*k - 0, -2*d + k - 5 = 0. Solve 0*w + d*w**p - 1/3*w**5 + 1/3*w**4 + 0*w**2 + 0 = 0 for w.
0, 1
Let u(n) be the first derivative of n**3/36 - n/12 + 18. Find y, given that u(y) = 0.
-1, 1
Let g(d) be the first derivative of -d**5/2 - 15*d**4/4 - 25*d**3/6 + 1. Determine k so that g(k) = 0.
-5, -1, 0
Factor t**2 + 2*t**2 - 5*t**2 + 2*t**4 + 5*t**3 - 6*t**3 + t**5.
t**2*(t - 1)*(t + 1)*(t + 2)
Let n(c) = c**2 + 15*c + 26. Let k be n(-13). Let x(w) be the third derivative of 4*w**2 + 0 + k*w - 1/9*w**3 + 0*w**4 + 1/90*w**5. Find z, given that x(z) = 0.
-1, 1
Let f(n) be the third derivative of -n**8/3360 + n**7/420 - n**6/120 + n**5/60 + n**4/24 - 3*n**2. Let j(r) be the second derivative of f(r). Factor j(c).
-2*(c - 1)**3
Let c(i) be the third derivative of -1/3*i**3 + 0*i + 1/120*i**5 + 0*i**4 + i**2 + 0 - 1/360*i**6. Let v(q) be the first derivative of c(q). Factor v(y).
-y*(y - 1)
Let k(a) be the first derivative of -a - 1 + 2*a**2 - 1/3*a**3 - 1/6*a**4. Let h(b) be the first derivative of k(b). Determine o, given that h(o) = 0.
-2, 1
Let s(t) be the second derivative of t**9/252 + 9*t**8/560 + 3*t**7/140 + t**6/120 - 5*t**3/6 + 5*t. Let f(b) be the second derivative of s(b). Factor f(u).
3*u**2*(u + 1)**2*(4*u + 1)
Let s(h) = -h**3 + 3*h**2 + 2. Let w be s(3). Factor -4*l**w + 0 + 0*l**2 + 16*l - 12.
-4*(l - 3)*(l - 1)
Let b(w) = -2*w**4 + w**3 - 2*w**2 + 3*w. Let i(x) = 3*x**4 - x**3 + 2*x**2 - 4*x. Let h(z) = -4*b(z) - 3*i(z). Solve h(l) = 0 for l.
-2, 0, 1
Let j(d) be the first derivative of 1/6*d**3 - 1/10*d**5 + 1/8*d**4 - 1/4*d**2 + 2 + 0*d. Let j(p) = 0. What is p?
-1, 0, 1
Factor 2/5*h**4 + 1/5*h**2 - 3/5*h**3 + 0 + 0*h.
h**2*(h - 1)*(2*h - 1)/5
Let k = -21 - -15. Let u be 2/k - (-1)/3. Factor 0*h**2 + 2/5*h