r(-3). Let c(d) be the second derivative of 1/10*d**2 + 0 - 1/60*d**p + 0*d**3 - d. Solve c(t) = 0 for t.
-1, 1
What is c in 4*c**2 - 1 - 9*c**3 + 11*c**3 + 1 + 2*c = 0?
-1, 0
Let n(u) = u**3 + 6*u**2 + u + 8. Let f be n(-6). Suppose -4*w = -f*y + 24, -2*y = -2*w - 7 - 7. Factor 0*o + 0 - 3/2*o**4 + 1/2*o**3 + o**y.
-o**2*(o - 1)*(3*o + 2)/2
Let w(r) = -r**2 - 6*r + 2. Let t be w(-7). Let a(l) = l**3 + 4*l**2 - 6*l - 3. Let o be a(t). Factor 0 + 4/3*d**3 - 2/3*d**o + 0*d - 2/3*d**4.
-2*d**2*(d - 1)**2/3
Let v(f) be the third derivative of f**6/10 - 11*f**5/15 + 2*f**4 - 8*f**3/3 + 2*f**2. Factor v(n).
4*(n - 2)*(n - 1)*(3*n - 2)
Let t(s) be the second derivative of s**4/4 + 9*s**3/2 - 15*s**2 - 3*s + 3. Let t(m) = 0. Calculate m.
-10, 1
Suppose 0 = -c + 5 - 2. Factor 2*k**5 + k**4 - c*k**3 + 2*k**2 - 3*k**4 + k**3 + 0*k**3.
2*k**2*(k - 1)**2*(k + 1)
Let a(s) = -3*s**4 + 9*s**3 - 10*s**2 - 2*s + 13. Let r(h) = -3*h**4 + 9*h**3 - 9*h**2 - 3*h + 12. Let n(u) = 6*a(u) - 7*r(u). Determine t, given that n(t) = 0.
-1, 1, 2
Let h be 1*((-30)/24)/(3/(-4)). What is a in 7/3*a**4 + 3*a**3 + h*a**2 + 1/3*a + 2/3*a**5 + 0 = 0?
-1, -1/2, 0
Let x(b) be the second derivative of -b**7/2520 - b**6/120 - 3*b**5/40 + b**4/3 + b. Let q(f) be the third derivative of x(f). Solve q(h) = 0 for h.
-3
Let i(x) be the second derivative of x**4/3 - 2*x**3 + 4*x**2 + 11*x. Factor i(c).
4*(c - 2)*(c - 1)
Suppose -4/19*w**2 + 2/19*w**3 + 0*w + 0 = 0. What is w?
0, 2
Suppose 3*y = y + 46. Determine q so that -25*q - 8*q**2 + 38*q - 12 - 7*q**2 + y*q = 0.
2/5, 2
Let s(x) = -x**2 + 12*x + 16. Let c be s(13). Let z(b) be the first derivative of -10/3*b**c + 1 + 7/2*b**4 - 2*b**2 + 0*b. Factor z(r).
2*r*(r - 1)*(7*r + 2)
Let y(l) be the first derivative of -1 + 0*l + 0*l**4 + 2/45*l**5 - 2/27*l**3 + 0*l**2. What is m in y(m) = 0?
-1, 0, 1
Let w(f) be the second derivative of -27*f**4/2 + 12*f**3 - 4*f**2 - 5*f. Factor w(d).
-2*(9*d - 2)**2
Suppose 26*h**2 + 21*h - 199 + 2*h**3 - 4*h**3 - 91*h + 101 = 0. What is h?
-1, 7
Let v(f) be the first derivative of -57/25*f**5 - 16/5*f + 34/5*f**4 - 1 + 8*f**2 - 152/15*f**3 + 3/10*f**6. Solve v(w) = 0 for w.
2/3, 1, 2
Factor -4*x**5 - 3*x**5 + 6*x**5 + 2*x**4 + 2*x**2 - 4*x**2 + x**3.
-x**2*(x - 2)*(x - 1)*(x + 1)
Let c(m) be the second derivative of 4/3*m**2 + 0 + 1/18*m**4 - 2*m + 4/9*m**3. Suppose c(v) = 0. What is v?
-2
Let b(v) be the second derivative of -v**6/160 - v**5/40 + v**4/8 + v**3/3 - 2*v. Let j(n) be the second derivative of b(n). What is a in j(a) = 0?
-2, 2/3
Let j(y) be the third derivative of y**6/90 - y**5/30 - y**4/18 - 6*y**2. Suppose j(a) = 0. Calculate a.
-1/2, 0, 2
Let z(n) be the third derivative of n**6/480 - n**5/120 + n**4/96 + 8*n**2. Solve z(q) = 0 for q.
0, 1
Suppose -5*q - 4 + 0 = -2*n, -3*n - 3*q = -6. Factor -2/3*h + 4/3*h**n - 2/3*h**3 + 0.
-2*h*(h - 1)**2/3
Let q(r) be the third derivative of r**6/30 - r**5/3 + 4*r**4/3 - 8*r**3/3 + r**2. Factor q(l).
4*(l - 2)**2*(l - 1)
Suppose 3*t + 1/5*t**3 - 7/5*t**2 - 9/5 = 0. What is t?
1, 3
Suppose 0*p + 47 = -5*c - p, 3*c = -p - 27. Let l = -7 - c. Factor 0*f**3 - 2 + 5*f**l - 6*f**2 - 6*f**3 - 6*f - f**3.
-2*(f + 1)**3
Suppose -18*f + 15 - 21*f - 15*f**2 + 9*f - 10*f = 0. What is f?
-3, 1/3
Let m(g) be the first derivative of 9*g**4/16 - g**3/4 - g**2/4 + 4. Factor m(w).
w*(3*w - 2)*(3*w + 1)/4
Let d(a) = 16*a - 5. Let n be d(2). Factor 50 - n*x - 5*x**2 - 3*x**3 - 50 + 23*x**2.
-3*x*(x - 3)**2
Let j(u) = 17*u**2 - u - 11. Let q(t) = -42*t**2 + 3*t + 27. Let i(l) = -12*j(l) - 5*q(l). Determine x so that i(x) = 0.
-1/2, 1
Let f be (26/15 - 2)/(8/(-20)). Let y be ((-6)/(-9) - 0) + 2. Solve -f*c**2 - 8/3 - y*c = 0.
-2
Let b(q) be the first derivative of q**3/4 - 3*q/4 - 9. Factor b(z).
3*(z - 1)*(z + 1)/4
What is h in 4/5 + 0*h**2 + 6/5*h - 2/5*h**3 = 0?
-1, 2
Let i(u) = -3*u**2 + 23*u - 17. Let c(z) be the third derivative of -z**5/60 + z**4/3 - z**3 - z**2. Let l(n) = 17*c(n) - 6*i(n). Factor l(x).
x*(x - 2)
Let u(s) = -3*s**4 + s**3 + 4*s + 4. Let b(m) = 2*m**4 - m**3 - 3*m - 3. Let i(r) = 4*b(r) + 3*u(r). Factor i(p).
-p**3*(p + 1)
Let s(d) be the third derivative of d**8/36960 + d**7/13860 - d**6/3960 - d**5/660 + d**4/12 - 2*d**2. Let l(g) be the second derivative of s(g). Factor l(a).
2*(a - 1)*(a + 1)**2/11
Suppose -4*k - 7/2 - 1/2*k**2 = 0. What is k?
-7, -1
Let t(d) be the first derivative of -d**3/12 - d**2/4 - 2. Find g, given that t(g) = 0.
-2, 0
Let l = -69973/5 - -13926. Let m = 69 + l. Factor -m*y + 0 + 1/5*y**2.
y*(y - 2)/5
Let t(w) be the third derivative of 3/20*w**4 + 0 - 2*w**2 + 0*w + 9/10*w**3 + 1/100*w**5. Find v such that t(v) = 0.
-3
Let k be -1*(-9)/3 - -3. Determine f, given that 2 + 4*f**3 - 6*f + 3*f**2 + 2*f**5 - f**2 - k*f**4 + 2*f**2 = 0.
-1, 1
Let t = -1 + 1. Suppose -2*b + 0*d = 3*d + 3, t = d + 3. Suppose 3*y**4 - y**5 + 5*y**2 + y**3 - b*y**2 - 5*y**4 = 0. What is y?
-2, -1, 0, 1
Solve 15*c**4 - 12*c**3 + 12/5*c**2 + 0*c + 0 = 0 for c.
0, 2/5
Let q be 3 - ((-18)/2)/(-3). Let x(p) be the second derivative of 1/12*p**4 + 2*p + q + 1/6*p**3 + 0*p**2. Suppose x(s) = 0. Calculate s.
-1, 0
Let s(f) be the first derivative of f**6 - f**4 + f**2 + 2. Let w(b) = -b**5 - b**4 + b**3 + b**2 - b. Let u(k) = s(k) + 4*w(k). Factor u(t).
2*t*(t - 1)**3*(t + 1)
Factor 32/3 + 8*l + 0*l**2 - 2/3*l**3.
-2*(l - 4)*(l + 2)**2/3
Find f such that -10/3*f**2 + 0*f + 0 + 2/3*f**3 = 0.
0, 5
Suppose -3*u + 229 = 2*o, 0 = 3*u - 0*o + 5*o - 235. Find p, given that -90*p**3 - 108*p**2 + u*p**4 + 10*p - 28*p - 6*p = 0.
-2/5, 0, 2
Let z(k) be the first derivative of k**4/4 - 2*k**3 + 48. Factor z(w).
w**2*(w - 6)
Let k(j) = -j**4 + j**3 + j - 1. Let f(q) = -q**4 - 4 + q + 1 - 6*q**4 + 9*q**3. Let x(d) = -f(d) + 5*k(d). Solve x(o) = 0.
-1, 1
Factor -3/7*s**4 + 18/7*s**3 - 12/7 + 36/7*s - 39/7*s**2.
-3*(s - 2)**2*(s - 1)**2/7
Let u(r) be the first derivative of -1/4*r**4 + 0*r**2 + 3 + 0*r + 0*r**3. Factor u(p).
-p**3
Let y(t) be the third derivative of t**5/390 - 11*t**4/156 + 6*t**3/13 + 58*t**2. Suppose y(p) = 0. Calculate p.
2, 9
Let d be 4*3/((-6)/(-4)). Factor d*t**2 + 1 - 5 + 3*t + 11*t.
2*(t + 2)*(4*t - 1)
Let f = -1571/12 - -131. Let r(g) be the third derivative of 2*g**2 + 0*g - f*g**4 + 0 + 0*g**3 + 1/10*g**5. Factor r(t).
2*t*(3*t - 1)
Let u(y) be the first derivative of 0*y**2 - 1/2*y + 1/6*y**3 - 3. Suppose u(d) = 0. Calculate d.
-1, 1
Let t(z) = 2*z**2 + 10*z + 16. Let x be t(-3). Factor 0 + 2/3*n**3 - 1/3*n**x + 0*n - 1/3*n**2.
-n**2*(n - 1)**2/3
Let t(p) = -p**2 + 10*p - 7. Let m be (3/(-2))/(3/(-18)). Let h be t(m). Factor -w**2 + h*w**2 - w + 2*w.
w*(w + 1)
Suppose -5*d + 0*d + 160 = 0. Suppose 4*u + 3*m + 2*m = d, 0 = 2*u + 3*m - 18. Factor 0*y**u - 1/2*y + 1/2*y**5 + y**2 - y**4 + 0.
y*(y - 1)**3*(y + 1)/2
Let l be ((-4)/2)/(4/38). Let r = l - -19. Let r + 1/3*y**2 - 2/3*y = 0. Calculate y.
0, 2
Let a(d) = -d**3 - 2*d**2 + 4. Suppose -6 = 2*h + 2. Let b(n) = -1. Let o(v) = h*b(v) - a(v). Suppose o(w) = 0. What is w?
-2, 0
Factor 320 + 26*g**2 - 240*g - 5*g**3 + 33*g**2 + g**2.
-5*(g - 4)**3
Let t(b) be the first derivative of -b**4/32 + b**3/24 + b**2/16 - b/8 + 4. Factor t(w).
-(w - 1)**2*(w + 1)/8
Factor -3*n**3 + n**4 + 0*n**4 + 2*n**3.
n**3*(n - 1)
Suppose -3*m - m = 0. Factor 2 + l**3 + m - 2 - l**2.
l**2*(l - 1)
Let m(a) = 7*a**2 - 6*a + 9. Let l(q) = -11*q**2 + 9*q - 14. Let x(y) = 5*l(y) + 8*m(y). Factor x(w).
(w - 2)*(w - 1)
Let m(f) = -f**2 - 10*f - 1. Let b(r) = -r + 1. Let z(x) = 5*b(x) - m(x). Factor z(q).
(q + 2)*(q + 3)
Let l(n) = 2*n**3 - 5*n**2 - 7*n. Let w(k) = -k**3 + 3*k**2 + 4*k. Let f(z) = -3*l(z) - 5*w(z). Factor f(m).
-m*(m - 1)*(m + 1)
Let t = 57/11 + -355/77. Solve -t*f + 2/7*f**2 + 0 = 0 for f.
0, 2
Let j(s) be the first derivative of 4*s**6/45 + 8*s**5/25 - s**4/10 - 16*s**3/45 + s**2/5 - 25. Find x such that j(x) = 0.
-3, -1, 0, 1/2
Factor -4/7*r**2 - 6/7*r + 0 + 2/7*r**3.
2*r*(r - 3)*(r + 1)/7
Let w(n) be the second derivative of n**6/1440 - n**5/480 + n**3/6 - n. Let z(m) be the second derivative of w(m). Factor z(a).
a*(a - 1)/4
Let x(w) be the first derivative of 1/15*w**3 + 0*w + 1/10*w**2 + 4. Factor x(j).
j*(j + 1)/5
Let h(j) be the second derivative of 1/10*j**5 + 0*j**4 + 0*j**2 - 1/3*j**3 + 0 - 