3 + 0*r + 1/4*r**4 + 0*r**2 - 1/10*r**5. Determine s so that u(s) = 0.
0, 2
What is q in -6*q + 12 + 3/4*q**2 = 0?
4
Let x(s) be the first derivative of s**5/4 + s**4 + 2*s**3/3 + 5*s + 1. Let g(k) be the first derivative of x(k). Factor g(q).
q*(q + 2)*(5*q + 2)
Let r(n) be the first derivative of 2 + 1/6*n**4 + n + 1/3*n**2 + 1/3*n**3 + 1/30*n**5. Let a(w) be the first derivative of r(w). Let a(g) = 0. What is g?
-1
Let x be ((-6)/(-9))/(2/(-3)). Let c be 8 + (3/x)/(-3). Let -3*a - 4 - c*a**2 + 9*a + 2 + 1 = 0. What is a?
1/3
Suppose 3*m + 43 = 52. Let l(x) be the first derivative of 0*x + 3 + 9/4*x**4 - m*x**3 - 3/5*x**5 + 3/2*x**2. Factor l(t).
-3*t*(t - 1)**3
Let b(p) = p**2 - 7*p - 8. Let m be b(8). Solve m*s**4 - 2*s**3 - s**4 - s**4 = 0.
-1, 0
Suppose -8/3*l**5 + 10/3*l**2 + 2/3*l + 2*l**3 + 0 - 10/3*l**4 = 0. What is l?
-1, -1/4, 0, 1
Suppose -4/11*v + 2/11*v**2 + 2/11 = 0. What is v?
1
Suppose 2 = 2*f - 2. Let d be f/(-1) + (8 - 2). Factor -2*n**2 + d*n**3 - n**3 - 5*n**3 + 0*n + 2*n + 2.
-2*(n - 1)*(n + 1)**2
Suppose 0 = -4*i - s + 4, -3*s = -3*i + 2*s + 26. Let k(b) be the first derivative of -2/9*b**3 - 2/3*b**i + 1 + 0*b + 1/6*b**4. Find m, given that k(m) = 0.
-1, 0, 2
Let d(j) be the second derivative of j**8/168 - j**7/105 - j**6/60 + j**5/30 + j**2/2 - 2*j. Let k(f) be the first derivative of d(f). Factor k(n).
2*n**2*(n - 1)**2*(n + 1)
Let o(t) be the first derivative of -2/9*t**3 - 3 + 2/3*t**2 + 0*t. Factor o(r).
-2*r*(r - 2)/3
Factor -9*w**2 + 68 - 48*w + 124 + 12*w**2.
3*(w - 8)**2
Suppose u + 3*u = 0. Suppose 3*s**3 + u*s**3 + 62*s**2 - 68*s**2 = 0. What is s?
0, 2
Let y(v) be the first derivative of v**8/448 - v**6/160 - 5*v**2 - 4. Let w(q) be the second derivative of y(q). Let w(b) = 0. What is b?
-1, 0, 1
Let b be (-4)/(-12) + 32/3. Let d(q) = q**2 - 10*q - 9. Let y be d(b). Factor -5*g**2 + 2*g**y + 2*g**2 + 3*g**2.
2*g**2
Find c such that -40/3*c**2 + 25/3*c**3 + 20/3*c - 5/3*c**4 + 0 = 0.
0, 1, 2
Let x(g) be the third derivative of -g**8/336 - g**7/210 + g**6/60 + 8*g**2. Factor x(m).
-m**3*(m - 1)*(m + 2)
Factor 0 + 1/6*k**3 - 1/2*k + 1/3*k**2.
k*(k - 1)*(k + 3)/6
Let b = 4 + -2. Let z = 5 - 2. Factor -t**3 + t**3 + t**z + 2*t**b.
t**2*(t + 2)
Let k(r) be the third derivative of -r**7/2100 + r**6/450 - r**5/300 + r**3/2 + 3*r**2. Let c(f) be the first derivative of k(f). Solve c(p) = 0 for p.
0, 1
Suppose -d - 4 = 0, 4*v - 3*d - 2*d = 44. Let z be ((-1)/v)/(16/(-64)). Determine w, given that 0*w + 0*w**2 + 0 + z*w**3 = 0.
0
Find h such that 2*h**2 - h**2 + 2*h**2 = 0.
0
Let b(v) = -2*v**4 + 4*v**3 + 2*v**2 + 2. Let l(c) = c**5 - 6*c**4 + 13*c**3 + 6*c**2 + 7. Let r(m) = 14*b(m) - 4*l(m). Factor r(p).
-4*p**2*(p - 1)*(p + 1)**2
Let h(i) be the first derivative of -9*i**4/8 + i**3 - i**2/4 - 9. Determine l so that h(l) = 0.
0, 1/3
Let g be -1 + (2/(2/5) - 2). Let r(h) be the first derivative of 0*h + 0*h**g + 1 + 3/4*h**4 + 3/10*h**5 - 1/2*h**3 - 1/2*h**6. Find t such that r(t) = 0.
-1, 0, 1/2, 1
Let q(g) be the first derivative of g**4/14 + 2*g**3/21 - 21. Factor q(o).
2*o**2*(o + 1)/7
Let c be 8 - (3 - (-4)/(-2)). Let x(k) = k - 5. Let n be x(c). Suppose 0 + 1/4*f + 1/4*f**3 - 1/2*f**n = 0. Calculate f.
0, 1
Let f(k) = 15*k + 5*k + k**2 - 6*k. Let g be f(-14). Find v such that g + 2/3*v**3 + 4/3*v**2 + 2/3*v = 0.
-1, 0
Let t(r) be the third derivative of r**6/20 - 11*r**5/20 + 13*r**4/8 - 2*r**3 + 22*r**2. Factor t(u).
3*(u - 4)*(u - 1)*(2*u - 1)
Let p(u) = -9*u**2 - 21*u + 4. Suppose -y = 4*y - 260. Suppose y = 5*x - x. Let w(b) = -4*b**2 - 10*b + 2. Let a(o) = x*w(o) - 6*p(o). Factor a(t).
2*(t - 1)**2
Let s(q) be the first derivative of 2*q**5/5 + q**4 - 8. Factor s(d).
2*d**3*(d + 2)
Let g(w) be the second derivative of -w**6/1440 - w**3/3 + w. Let s(q) be the second derivative of g(q). Determine l, given that s(l) = 0.
0
Let a(i) be the first derivative of i**4/16 + i**3/4 + i**2/4 - 13. Suppose a(f) = 0. Calculate f.
-2, -1, 0
Let w(l) be the first derivative of l**3/9 + l**2/6 - 3. Factor w(h).
h*(h + 1)/3
Let s(t) be the first derivative of 3 + 1/4*t**4 + 1/3*t**3 - 1/5*t**5 - 1/2*t**2 + 0*t. Determine r, given that s(r) = 0.
-1, 0, 1
Factor 0 + 4/3*u**2 + 0*u + 7/3*u**4 + 16/3*u**3.
u**2*(u + 2)*(7*u + 2)/3
Find i, given that 2/9*i**2 + 2/9 + 4/9*i = 0.
-1
Let u = 85 + -85. Let n(g) be the third derivative of -6/5*g**5 + 0*g - g**2 - 11/8*g**4 - 13/20*g**6 - g**3 + u - 1/5*g**7 - 3/112*g**8. Factor n(m).
-3*(m + 1)**4*(3*m + 2)
Suppose -2 + 0 = -m. Suppose m*n - 4*h = 16, -4*h - 12 = -0*h. Factor 2*d**4 + d**3 + 0*d**2 - n*d + d**3 - 2*d**2.
2*d*(d - 1)*(d + 1)**2
Let k(a) be the third derivative of a**6/320 + a**5/80 - 3*a**4/64 + 39*a**2. Factor k(j).
3*j*(j - 1)*(j + 3)/8
Suppose k - 3*v - 19 = 0, -3*k + 4*v = -74 + 27. Let m(d) = -8*d**3 - 7*d**2 - 8*d. Let b(f) = 4*f**3 + 4*f**2 + 4*f. Let x(h) = k*b(h) + 6*m(h). Factor x(p).
2*p*(p + 2)*(2*p + 1)
Let i(f) = f**2 + 10*f - 6. Let y be i(-10). Let a = 8 + y. Factor -6/5*t + 6/5*t**3 + 2/5*t**a - 2/5.
2*(t - 1)*(t + 1)*(3*t + 1)/5
Let q(i) be the first derivative of -45/2*i**4 - 36*i**3 - 12*i**2 - 21/5*i**5 + 8 + 0*i. Factor q(j).
-3*j*(j + 2)**2*(7*j + 2)
Solve -1/2*x - 1/4*x**2 + 3/2*x**3 + 1/2*x**5 + 0 + 7/4*x**4 = 0.
-2, -1, 0, 1/2
Let v(d) be the second derivative of 0 - 3*d**3 - 7/6*d**4 - 6*d - 2*d**2. Determine z, given that v(z) = 0.
-1, -2/7
Factor 0 - 6/5*o - 4/5*o**2 + 2/5*o**3.
2*o*(o - 3)*(o + 1)/5
Let c = -188 - -188. Solve 0*g**2 + 0 + 2/11*g**3 + 2/11*g**5 + c*g - 4/11*g**4 = 0.
0, 1
Let t(f) be the first derivative of 4 + 1/12*f**4 + 0*f - 2/9*f**3 + 0*f**2 + 1/15*f**5. Factor t(v).
v**2*(v - 1)*(v + 2)/3
Suppose -19*g = -26*g + 28. Solve -3*n + 33/2*n**2 - 24*n**3 + 0 + 21/2*n**g = 0.
0, 2/7, 1
Let t = 268 + -511/2. Let k(l) be the first derivative of 75/8*l**4 + 35/3*l**3 - t*l**5 - 3*l**2 - 1 - 4*l. Solve k(x) = 0.
-2/5, 2/5, 1
Let n(x) be the third derivative of -x**7/10080 + x**5/480 + x**4/12 + 6*x**2. Let i(r) be the second derivative of n(r). Factor i(b).
-(b - 1)*(b + 1)/4
Let f(h) = 175*h**3 - 77*h**2 - 83*h + 24. Let s(o) = -29*o**3 + 13*o**2 + 14*o - 4. Let x(a) = -6*f(a) - 39*s(a). Find z, given that x(z) = 0.
-2/3, 2/9, 1
Find i, given that 57/7*i**3 + 4/7*i + 36/7*i**4 + 0 + 4*i**2 = 0.
-2/3, -1/4, 0
Let p - 28 - 5*p**2 + 28 - 16*p = 0. What is p?
-3, 0
Let s(f) = 2*f + 3. Let p(r) = -2*r - 3. Let y(l) = -5*p(l) - 6*s(l). Let h be y(-3). Find b such that -2*b**4 + 2*b**5 + 2*b**2 + 8 - 2*b**h - 8 = 0.
-1, 0, 1
Let u(s) = 2*s**3 - 2*s**2 + 2*s - 1. Let a be u(1). Let r be 4188/90 + a/(-5). Let 4/3 + r*n**3 + 95/3*n**4 + 25/3*n**5 + 32/3*n + 97/3*n**2 = 0. What is n?
-1, -2/5
Solve 0*l**4 + 0*l**2 + 0*l - 3/2*l**5 + 3/2*l**3 + 0 = 0 for l.
-1, 0, 1
Let k be 1/((-1)/(-8)) - 4. Factor k + 3*j - 2*j**2 + 0*j**2 + 0*j - 5*j.
-2*(j - 1)*(j + 2)
Let k(l) be the second derivative of -l**5/80 + l**4/16 - l**3/12 + 9*l. Suppose k(v) = 0. Calculate v.
0, 1, 2
Suppose -2 = -2*c - 4. Let i be 9/15*-1 - c. Factor -8/5*y + i*y**2 + 8/5.
2*(y - 2)**2/5
Let o(m) be the third derivative of 3*m**8/560 + m**7/56 + m**6/60 - m**3/2 - 2*m**2. Let q(l) be the first derivative of o(l). Let q(y) = 0. What is y?
-1, -2/3, 0
Suppose -4*q = -2*q - 10. Let b be (-2)/q + 39/60. Suppose 0*h - b*h**3 + 0 + 1/2*h**2 = 0. What is h?
0, 2
Let j(m) be the third derivative of -3*m**2 + 2/735*m**7 + 0 + 1/1176*m**8 + 0*m**3 + 0*m**6 + 0*m - 1/84*m**4 - 1/105*m**5. Factor j(u).
2*u*(u - 1)*(u + 1)**3/7
Let z(j) be the first derivative of -j**5/2 + 7*j**4/6 - 2*j**3/3 + 2*j - 2. Let x(d) be the first derivative of z(d). Factor x(b).
-2*b*(b - 1)*(5*b - 2)
Factor 52 - 16*j**2 - 52 - 4*j**3.
-4*j**2*(j + 4)
Let p(t) be the first derivative of -t**8/2240 - t**7/840 - t**6/1440 + t**3 + 5. Let o(w) be the third derivative of p(w). Factor o(y).
-y**2*(y + 1)*(3*y + 1)/4
Let m = 10 + -16. Let l be 332/20 - m/(-15). Factor -36/5*a - 4/5 - l*a**2.
-(9*a + 2)**2/5
Let j be ((5 + -11)/24)/(15/(-48)). Let l(f) be the second derivative of 2*f + j*f**5 + f**4 + 0 - f**3 - f**2. Factor l(v).
2*(v + 1)*(2*v - 1)*(4*v + 1)
Let f(c) be the third derivative of c**6/40 - 13*c**5/20 + 35*c**4/8 + 49*c**3/2 - 60*c**2. Factor f(m).
3*(m - 7)**2*(m + 1)
Solve -6*b - 8*b**4 + 