pose 1/2*s**k + 0*s**3 + 0*s**2 - 1/2*s**4 + 0*s + 0 = 0. What is s?
0, 1
Suppose -3*s = s - 12. Let n be 2/8 - (-126)/8. Factor 11*p**5 - n*p**4 - p**5 + 3*p**2 + p**2 + 2*p**s.
2*p**2*(p - 1)**2*(5*p + 2)
Factor 2 + 13/2*i - 7/4*i**2.
-(i - 4)*(7*i + 2)/4
Let u(m) be the first derivative of 2*m**3/69 + m**2/23 - 21. What is p in u(p) = 0?
-1, 0
Let d(p) be the first derivative of -2*p**3/51 + 3*p**2/17 + 32. What is g in d(g) = 0?
0, 3
Let o be 8*((-2 - -3) + 0). Suppose v + 5*z = 21, -o = -2*v - 2*z + 10. Suppose v*a**2 - 2 - 2 - a - a = 0. Calculate a.
-2/3, 1
Let g = -3/8 - -7/8. Let -t**2 + 1/2 + g*t = 0. Calculate t.
-1/2, 1
Find j such that 138/7*j**3 + 194/7*j**2 + 18/7*j**4 + 86/7*j + 12/7 = 0.
-6, -1, -1/3
Solve -1 - 2*h**5 - 7*h + 6*h + 2*h**3 + 2*h**2 - h**4 + h**5 = 0.
-1, 1
Let t = 2/439 - -1746/2195. Factor -1/5*a**4 + 0 - 4/5*a**3 - t*a**2 + 0*a.
-a**2*(a + 2)**2/5
Factor 8/3*w + 4/3*w**2 + 0.
4*w*(w + 2)/3
Let b = -7/15 - -2/3. Let s = -414/5 + 83. Factor -2/5*r**3 - 1/5*r**4 + 2/5*r**2 - b + 1/5*r + s*r**5.
(r - 1)**3*(r + 1)**2/5
Find n, given that 0 + 24*n**2 - 24*n**4 + 6*n + 9/2*n**3 - 21/2*n**5 = 0.
-2, -1, -2/7, 0, 1
Let x(g) = g**2 + 9*g. Let l(i) = -2*i**2 - 19*i. Let y(t) = 2*l(t) + 5*x(t). Factor y(r).
r*(r + 7)
Let u(w) be the third derivative of 8/3*w**3 + 0 + 2/3*w**4 + 9*w**2 - 19/15*w**5 - 2/15*w**6 + 2/7*w**7 + 0*w. Find c such that u(c) = 0.
-1, -2/5, 2/3, 1
Let b = -11 - -17. Let q(d) = 8*d**2 + 13*d + 8*d + d**2. Let r(x) = -4*x**2 - 10*x. Let u(y) = b*q(y) + 13*r(y). Let u(a) = 0. What is a?
0, 2
Let p(w) = w**3 - 3*w**2 - 4*w + 4. Let m be p(4). Find x such that x**m + 6*x**3 + 8*x + 0*x + 0*x**4 + 12*x**2 = 0.
-2, 0
Let o(x) be the first derivative of -9*x**3/5 + 3*x**2/5 + 5. Let o(j) = 0. Calculate j.
0, 2/9
Let o(w) be the third derivative of -w**6/420 + w**5/70 - w**4/28 + w**3/21 - 2*w**2. Determine a so that o(a) = 0.
1
Let u = 125/3 + -1249/30. Let m(s) be the third derivative of -s**2 + 1/6*s**5 - 2/35*s**7 - 5/336*s**8 - u*s**6 + 0 + 1/3*s**3 + 3/8*s**4 + 0*s. Factor m(v).
-(v - 1)*(v + 1)**3*(5*v + 2)
Let l(v) be the third derivative of -v**6/480 + v**5/120 - v**4/96 - 18*v**2. Factor l(w).
-w*(w - 1)**2/4
Let a(n) be the second derivative of -n**7/189 - n**6/135 + n**5/45 + n**4/27 - n**3/27 - n**2/9 - 6*n. Factor a(w).
-2*(w - 1)**2*(w + 1)**3/9
Find b, given that 0*b - 1/3*b**2 + 1/3 = 0.
-1, 1
Factor 2/13*o**3 + 0*o + 0 + 2/13*o**2.
2*o**2*(o + 1)/13
Let q be (2/(-18))/((-1)/6). Let v(n) be the second derivative of 5/3*n**3 - q*n**4 + 1/10*n**5 - 2*n**2 - n + 0. Factor v(u).
2*(u - 2)*(u - 1)**2
Let r(v) be the third derivative of v**8/70560 + v**5/20 - v**2. Let l(f) be the third derivative of r(f). Suppose l(k) = 0. Calculate k.
0
Let o(h) be the second derivative of h**4/18 + 2*h**3/9 + h**2/3 - 20*h. Find x, given that o(x) = 0.
-1
Let d(h) = 2*h - 6. Let x be d(4). Let l = 7 - x. Factor 0*f**4 + 2*f**4 - 8*f**l + 0*f**4.
-2*f**4*(4*f - 1)
Let z = 697/445 - -3/89. Factor 2/5*k**3 + z*k - 8/5*k**2 + 0.
2*k*(k - 2)**2/5
Let r(v) = -v**3 + 9*v**2 - 5*v - 9. Let z be r(8). Suppose z = 2*j + j. Determine h so that 2*h + 0*h - 2*h**2 + j*h**2 = 0.
-2/3, 0
Suppose 5*d - 4*d + 4*a + 37 = 0, -3*a = -6. Let k be 6/d + 8/60. Factor k + 0*n - 1/4*n**2.
-n**2/4
Let o(c) be the first derivative of c**4/72 + c**3/18 + c**2/12 - 5*c + 2. Let a(m) be the first derivative of o(m). Factor a(h).
(h + 1)**2/6
Suppose -2*f = -8, 2*j - j - f - 11 = 0. Let i = j - 15. Factor 1/2*d**2 - d**3 + 1/2*d + i.
-d*(d - 1)*(2*d + 1)/2
Let w(m) be the second derivative of m**5/3 + 7*m**4/9 - 16*m**3/9 - 8*m**2/3 - 6*m. Determine g, given that w(g) = 0.
-2, -2/5, 1
Suppose -6*o + 3*o + 6 = 0. Let d(a) be the second derivative of a + 0 + 21/80*a**5 + 1/6*a**3 + 1/2*a**o - 29/48*a**4. What is l in d(l) = 0?
-2/7, 2/3, 1
Factor 2/5*t**2 + 0 + 4/5*t.
2*t*(t + 2)/5
Find l such that 4*l**2 + 6 + 4 + 1 + 8*l - 7 = 0.
-1
Let j(a) be the second derivative of -a**7/7 + 7*a**6/15 - a**5/2 + a**4/6 + 2*a. Factor j(v).
-2*v**2*(v - 1)**2*(3*v - 1)
Let m(y) = -y**5 - 6*y**4 + 3*y**3 + 4. Let g(u) = 2*u**5 + 13*u**4 - 7*u**3 - 9. Let p(i) = 4*g(i) + 9*m(i). Find s, given that p(s) = 0.
-1, 0
Let w(p) = 7*p - 1. Let a be w(1). Let k(s) be the third derivative of 0 + 0*s**3 + 0*s + s**2 - 1/120*s**a + 0*s**5 + 1/24*s**4. Suppose k(v) = 0. Calculate v.
-1, 0, 1
Let p(u) = u**2 - 7*u + 10. Let y be p(5). Let v(d) be the first derivative of 1/2*d**4 + y*d - 2/5*d**5 - d**2 + 2/3*d**3 - 2. Factor v(l).
-2*l*(l - 1)**2*(l + 1)
Let z(p) be the first derivative of p**5/60 - p**4/4 + 3*p**3/2 - p**2 - 3. Let i(o) be the second derivative of z(o). What is g in i(g) = 0?
3
Let t(f) = f**2 - 2*f - 1. Let v = 2 - 3. Let s be t(v). Factor 6*x + 0 + 4*x + s + 8*x**2.
2*(x + 1)*(4*x + 1)
Let n = -1 - -3. Find k, given that k**2 - 15*k**3 - k**4 - 11*k**4 - 3*k**5 - 7*k**n = 0.
-2, -1, 0
Let q(x) = -9*x**4 - x**3 + 17*x**2 - 20*x + 8. Let l(z) = 5*z**4 + z**3 - 9*z**2 + 10*z - 4. Let w(u) = -10*l(u) - 6*q(u). Factor w(v).
4*(v - 1)**3*(v + 2)
Let d(x) be the first derivative of x**5/10 - 3*x**4/8 + x**3/3 + 8. Factor d(g).
g**2*(g - 2)*(g - 1)/2
Let a be ((-8)/64)/((-3)/2). Let k(m) be the third derivative of -a*m**4 + 0*m + 1/60*m**6 + 0 + 0*m**5 + 0*m**3 - 2*m**2. Find x such that k(x) = 0.
-1, 0, 1
Let f = 4/63 + 2/9. Factor -f*l**3 - 6/7*l - 2/7 - 6/7*l**2.
-2*(l + 1)**3/7
Let j = 7 - 5. Determine c so that -c**5 + 3*c**5 + 2*c**4 + 0*c**5 - j*c**3 - 2*c**2 = 0.
-1, 0, 1
Suppose -2*m - 16 = -0*h - 4*h, 0 = 4*h + 5*m - 44. Let l = 20/3 - h. Let l*z**2 - 2/3 + 0*z = 0. Calculate z.
-1, 1
Suppose -34 = -3*y - 4*o, 2*o - 17 = -2*y + 7. Let n = -14 + y. Suppose 2 - 3/2*a**2 + n*a - 1/2*a**3 = 0. Calculate a.
-2, 1
Suppose -w + 5*b - 15 = 0, 3*b - 9 = -4*w - 0. Suppose i = -w*i. Suppose 0 + 3/5*a + i*a**2 + 6/5*a**4 - 9/5*a**3 = 0. What is a?
-1/2, 0, 1
Let a(m) be the first derivative of -2*m**3/5 + 6*m**2/5 - 6*m/5 - 42. Find o such that a(o) = 0.
1
Let s(c) be the third derivative of c**8/2520 + 2*c**7/1575 - c**6/900 - c**5/225 - 45*c**2. Let s(h) = 0. What is h?
-2, -1, 0, 1
Let u(z) be the first derivative of 2*z**3/45 - 7*z**2/15 + 8. Factor u(y).
2*y*(y - 7)/15
Let b(y) be the first derivative of 0*y + 10/27*y**3 + 2/9*y**2 + 2/45*y**5 + 2/9*y**4 - 3. Factor b(w).
2*w*(w + 1)**2*(w + 2)/9
Let f(j) = -j**2 + 1. Let g(v) = 5*v**2 - 5. Let s(x) = -4*f(x) - g(x). Factor s(t).
-(t - 1)*(t + 1)
Let n be (0/1)/(-4*7/(-28)). Let r(t) be the second derivative of n - 1/8*t**3 - 1/48*t**4 - 1/4*t**2 - 4*t. Factor r(a).
-(a + 1)*(a + 2)/4
Let n(u) be the third derivative of u**6/300 - u**5/50 - 26*u**2. Let n(y) = 0. What is y?
0, 3
Let b(a) be the first derivative of a**3/21 + a**2/14 - 2*a/7 - 20. Find q such that b(q) = 0.
-2, 1
Let o(b) be the second derivative of -b**9/105840 + b**8/11760 - b**7/4410 - b**4/3 + 2*b. Let g(h) be the third derivative of o(h). Factor g(w).
-w**2*(w - 2)**2/7
Let f(l) be the first derivative of -l**4/20 - l**3/15 + l**2/5 + 9. Factor f(n).
-n*(n - 1)*(n + 2)/5
Let c(d) = d + 10. Let j = -14 + 8. Let y be c(j). What is r in -y*r**3 - r**3 + r**3 + 2*r**5 + 2*r = 0?
-1, 0, 1
Let g = -852 + 855. Factor -2/5*k**4 + 4/5*k**g + 2/5 + 0*k**2 - 4/5*k.
-2*(k - 1)**3*(k + 1)/5
Let o = 6 + -5. Let d be 5*(o - 0) + -1. What is s in -s**4 - 12*s**2 + 4*s - 10*s**3 - 1 - 10*s - 2*s**4 + 0*s**d = 0?
-1, -1/3
Let o be (112/6)/(-7) - -3. Factor o - 2/3*x**3 - 1/3*x**4 + 2/3*x + 0*x**2.
-(x - 1)*(x + 1)**3/3
Factor 7/5*f**2 + 0 + 0*f + 1/5*f**3.
f**2*(f + 7)/5
Suppose 0 = 3*o - 4*o + 3. Solve 1/5*l**5 + 1/5*l + 4/5*l**4 + 4/5*l**2 + 6/5*l**o + 0 = 0.
-1, 0
Suppose 6*s + 2*s + 0*s = 0. Factor -2/19*i**5 + 2/19*i**4 + 0*i**3 + s*i**2 + 0*i + 0.
-2*i**4*(i - 1)/19
Find y, given that 9/4*y - 3/8*y**2 + 6 = 0.
-2, 8
Let u = -10 + 16. Let b(r) be the first derivative of -4/21*r**3 + 1/21*r**u + 4/35*r**5 - 1/7*r**2 - 1 + 0*r + 0*r**4. Suppose b(p) = 0. What is p?
-1, 0, 1
Factor 0 + 0*a + 1/2*a**2.
a**2/2
Let h(t) be the third derivative of t**8/840 - 2*t**7/315 + t**6/150 + 4*t**5/225 - t**4/20 + 2*t**3/45 + 17*t**2. What is c in h(c) = 0?
-1, 1/3, 1, 2
Let r(d) be the first derivative of 1/5*d**5 + 1/2*d**2 + 3/4*d**4 + 2 + 0*d + d**3. Fact