uppose 2/5*t**2 + 0 + y*t = 0. What is t?
0
Let g(b) be the second derivative of 2*b**7/21 + b**6/15 - 2*b**5/5 - b**4/3 + 2*b**3/3 + b**2 - 22*b. Determine p so that g(p) = 0.
-1, -1/2, 1
Let g = 3/392 - -445/392. Let -g*x + 1/7*x**2 + 16/7 = 0. What is x?
4
Let k(d) = 2*d**3 - 17*d**2 + 19*d + 14. Let t be k(7). Let -3/4*c**4 + 0 + 0*c**2 + 1/2*c**3 + t*c + 1/4*c**5 = 0. Calculate c.
0, 1, 2
Let j(a) = 3*a**4 - 11*a**3 + 3*a**2 + 79*a + 41. Let w(l) = 2*l**4 - 7*l**3 + 2*l**2 + 53*l + 27. Let t(y) = -5*j(y) + 7*w(y). Solve t(p) = 0 for p.
-1, 4
Solve 0 - 2/15*n**4 + 0*n + 4/15*n**2 - 2/15*n**3 = 0 for n.
-2, 0, 1
Let c(j) be the first derivative of -j**8/5880 - j**7/1470 + j**5/210 + j**4/84 + 5*j**3/3 - 1. Let p(l) be the third derivative of c(l). Factor p(m).
-2*(m - 1)*(m + 1)**3/7
Let y(a) be the third derivative of 7/120*a**5 + 0*a**3 + 0 + 0*a + 2*a**2 - 1/24*a**4. Factor y(q).
q*(7*q - 2)/2
Let k(s) be the second derivative of -s**6/420 + s**5/105 - 3*s**2/2 - 6*s. Let q(i) be the first derivative of k(i). What is b in q(b) = 0?
0, 2
Solve -1 - 4*l**4 + 3*l**2 + 1 + l**2 = 0.
-1, 0, 1
Let f(x) be the third derivative of x**5/9 + x**4/18 - 23*x**2. Factor f(l).
4*l*(5*l + 1)/3
Let i(b) = -2*b**2 + b + 1. Let f(w) = -w**2 + w. Let n(y) = -4*f(y) + 4*i(y). Factor n(a).
-4*(a - 1)*(a + 1)
Suppose -12 = -4*x + 8. Let s be x/(-5) - 7/(-2). What is q in 3/2*q**5 + 0*q + 1/2*q**3 + 0 + 1/2*q**2 - s*q**4 = 0?
-1/3, 0, 1
Factor 54 - 3*s - 6*s**2 - 48 + 2*s**3 + s**3.
3*(s - 2)*(s - 1)*(s + 1)
Let h(y) be the first derivative of -2*y**5/25 - 3*y**4/10 - 4*y**3/15 + 17. Solve h(j) = 0.
-2, -1, 0
Determine m, given that 4*m**2 - 6*m**3 + 376*m - 376*m - 10*m**4 = 0.
-1, 0, 2/5
Factor -1/3 + 2*o**2 + 5/3*o.
(o + 1)*(6*o - 1)/3
Let v = 79/7 - 11. Suppose -v*c**2 + 2/7*c**3 + 2/7 - 2/7*c = 0. Calculate c.
-1, 1
Let r(h) be the third derivative of -h**7/735 - h**6/84 - h**5/70 + 5*h**4/84 + 4*h**3/21 - 47*h**2. Find p such that r(p) = 0.
-4, -1, 1
Find b, given that 0*b + 0*b**2 - 10/3*b**3 + 0 - 4/3*b**4 = 0.
-5/2, 0
Suppose 3*u = 7*u - 8. Factor 0*r + 0*r**u - 3*r**2 + 3*r.
-3*r*(r - 1)
Let t = -10 - -15. Suppose -2*i + i - 2*c = -4, 15 = 5*i + t*c. Factor 1/3*w + 1/3*w**5 + i*w**3 + 0 + 4/3*w**2 + 4/3*w**4.
w*(w + 1)**4/3
Find n such that -4*n**3 + 4*n + 1/2*n**2 + 3/2*n**4 - 2 = 0.
-1, 2/3, 1, 2
Let f be 26/(-8) + 1/4. Let z be f/9 + 2/6. Factor -4*p**4 - p**2 - 3*p**5 + z*p**2 + 3*p**2 + p**3.
-p**2*(p + 1)**2*(3*p - 2)
Let 71/2*v**2 - 35/2*v**4 - 48*v + 93/2*v**3 - 18 + 3/2*v**5 = 0. Calculate v.
-1, -1/3, 1, 6
Suppose -s - 4*m - 1 = -6*m, -2*s = -2*m. Determine w so that 3/2*w - 1/2*w**2 - s = 0.
1, 2
Suppose -2*b = -2*s - 22, 0*b - s + 25 = 5*b. Suppose 0*z + 3*z + b = 0, 0 = -3*h + z + 11. Suppose -1/2*g**h - 2*g**2 + 0 - 2*g = 0. Calculate g.
-2, 0
Let -2*h**3 + 6 + h**3 - 9*h - 2*h**3 + 6*h**3 = 0. Calculate h.
-2, 1
Let m(x) = x**2 + 10*x + 11. Let h be m(-9). Factor -2*t**3 + 3*t - 3*t**2 + t**5 + t**h + t**4 - 2*t - 32 + 33.
(t - 1)**2*(t + 1)**3
Suppose -4*j = -4*w + j - 10, 5*w + 2*j - 4 = 0. Let q(b) be the third derivative of 1/36*b**4 + 2*b**2 + w*b + 0 - 1/90*b**5 + 2/9*b**3. Solve q(c) = 0 for c.
-1, 2
Let w(h) be the third derivative of h**8/3360 - h**7/1260 + h**4/12 + 2*h**2. Let z(l) be the second derivative of w(l). Factor z(t).
2*t**2*(t - 1)
Factor 0*h + 2/3*h**4 + 10/9*h**3 + 4/9*h**2 + 0.
2*h**2*(h + 1)*(3*h + 2)/9
Let v be (-3)/4*((-24)/9 + 2). Factor k**2 + 5/4*k + v + 1/4*k**3.
(k + 1)**2*(k + 2)/4
Suppose 6 = 2*c - u, 3*c - 16 = 4*u + u. Let p(f) be the first derivative of 0*f**c - 2/9*f**3 + 0*f - 3 + 1/12*f**4. Suppose p(v) = 0. Calculate v.
0, 2
Let t = 2 + 4. Let k be (4/3)/(4/t). Solve -2*y**4 + 2*y**3 + 3/2*y**k - y - 1/2 = 0 for y.
-1/2, 1
Let r be (0 + 2*-1)*-1. Suppose -3 = -r*m + w, -m - 4*w + 9 = 3. Suppose -f**m + 0*f**2 - f**4 + 2*f**3 - 4*f**3 = 0. Calculate f.
-1, 0
Find c such that 0*c**3 - 2 + 2 - 5*c - c**3 + 4*c**2 + 2 = 0.
1, 2
Suppose -l = 4*l - 10. Suppose 3*f - l = 4. Factor -2/9*x**5 + 2/9*x**3 + 2/9*x**4 - 2/9*x**f + 0 + 0*x.
-2*x**2*(x - 1)**2*(x + 1)/9
Let c(k) = -k**3 - 11*k**2 + 13*k + 15. Let v be c(-12). Determine a so that -5*a**3 + a**4 - 2*a**4 - a**2 + 3*a**v = 0.
-1, 0
Suppose -4*p - 2 = -h - 5, -5*p + 5*h = -15. Let s(b) be the second derivative of b**2 + 1/6*b**4 + 2/3*b**3 + p - 2*b. Factor s(i).
2*(i + 1)**2
Let n(q) be the second derivative of q**7/840 - q**5/240 + q**2 - 3*q. Let s(i) be the first derivative of n(i). Solve s(a) = 0 for a.
-1, 0, 1
Let o(s) be the second derivative of s**4/12 - s**3/6 + 3*s. Factor o(y).
y*(y - 1)
Let l(u) = 8*u**2 - 10*u - 15. Let t(a) = 23*a**2 - 30*a - 45. Let y(h) = -8*l(h) + 3*t(h). Factor y(n).
5*(n - 3)*(n + 1)
Let h(m) = 3*m**5 - 3*m**4 - 9*m**3 + 3*m - 3. Let z(s) = -3*s**5 + 3*s**4 + 9*s**3 + s**2 - 2*s + 4. Let o(a) = 4*h(a) + 3*z(a). Suppose o(f) = 0. What is f?
-1, 0, 1, 2
Suppose -6*c + 2*c = 0. Factor 8*x**4 + 5*x**3 - 3*x**3 + c*x**4 - 2*x**4.
2*x**3*(3*x + 1)
Let d(j) be the first derivative of 3*j**3 - 15/2*j**2 + 6*j - 6. Find u such that d(u) = 0.
2/3, 1
Let h(u) be the first derivative of u**3/3 - 5*u**2/2 + 6*u - 27. Let h(g) = 0. Calculate g.
2, 3
Find m, given that -3/2*m + 1/4*m**2 + 0 = 0.
0, 6
Let x = -1132/9 - -126. Suppose 2/9 + 0*f - x*f**2 = 0. Calculate f.
-1, 1
Let s(a) = a**3 + 11*a**2 + a + 15. Let h be s(-11). Let g be 11/h + (3 - 5). Factor g*t + 1/2 + 1/4*t**2.
(t + 1)*(t + 2)/4
Suppose -o + 25 = 5. Suppose -7 = -3*f + h + 6, -5*h = o. Factor -6*z**3 + f*z**3 - z**5 + 2*z**4 + 2*z**3.
-z**3*(z - 1)**2
Let u(p) be the first derivative of -3 + 3/20*p**5 + 0*p - 3/2*p**2 + p**4 + 2*p**3. Let t(o) be the second derivative of u(o). Let t(k) = 0. What is k?
-2, -2/3
Let r = -96931/9381 + -2/3127. Let f = 11 + r. Let -2/3*a**4 + 0*a**3 + 0*a + 0 + f*a**2 = 0. What is a?
-1, 0, 1
Let l(g) = -11*g - 209. Let m be l(-19). Solve m*j**3 + 0*j + 0 - 1/4*j**4 + 0*j**2 = 0 for j.
0
Let k(l) = -4*l**5 + 24*l**4 - 20*l**3 - 36*l**2 + 9*l. Let t(c) = -c**4 + c**3 + c**2. Let d(b) = -k(b) - 3*t(b). Factor d(n).
n*(n - 3)**2*(n + 1)*(4*n - 1)
Suppose 4*m - 28 = -2*s, -m + 21 = -0*s + 4*s. Let d(b) be the first derivative of -1/2*b + 1/4*b**4 - 1/2*b**2 + 2 + 0*b**3 + 1/10*b**m. Factor d(y).
(y - 1)*(y + 1)**3/2
Factor 0 + 2/5*c + 2/5*c**2.
2*c*(c + 1)/5
Let c(y) be the second derivative of -1/28*y**7 - 2*y - 1/4*y**3 + 1/5*y**6 + 0 - 9/20*y**5 + 1/2*y**4 + 0*y**2. Determine g, given that c(g) = 0.
0, 1
Let s be ((-18)/27)/(2/(-27)). Let j = s + -25/3. Let -j*k**4 + 0 - 1/3*k**3 + 1/3*k + 2/3*k**2 = 0. Calculate k.
-1, -1/2, 0, 1
Suppose -8 + 0 = -2*x. Find l such that -l**3 - 2*l**3 + 4*l**x - 7*l**4 = 0.
-1, 0
Let v = 13 + -11. Determine i, given that 0*i - 4*i**2 + 2*i + v*i**3 + 2*i - 2*i = 0.
0, 1
Let w(y) be the first derivative of 2*y**3/21 - 1. Factor w(a).
2*a**2/7
Suppose 86 = 19*f + 29. Determine k so that -2/5 + 4/5*k**2 + 0*k**f + 0*k - 2/5*k**4 = 0.
-1, 1
Let u(l) = -5*l**2 + 8*l + 8. Let f(x) be the second derivative of x**4/4 - 5*x**3/6 - 5*x**2/2 - x. Let g(w) = -8*f(w) - 5*u(w). Solve g(c) = 0 for c.
0
Let x(t) be the third derivative of 0*t**4 + 0 + 0*t**3 - 1/180*t**6 + 0*t**5 - 3*t**2 + 0*t. Find k such that x(k) = 0.
0
Let j = -227 + 229. Suppose -4*r - 4*x + 32 = 0, 4*r - 7*x + 13 = -2*x. Suppose -3/2*s**j + 0 + 3/2*s**r - 3/2*s + 3/2*s**4 = 0. Calculate s.
-1, 0, 1
Let v = -46 + 277/6. Let t(d) be the first derivative of -1/15*d**5 - 1/9*d**3 + v*d**4 + 0*d**2 + 0*d - 1. Let t(c) = 0. Calculate c.
0, 1
Suppose -6/11*w**2 + 2/11*w**3 - 2/11 + 6/11*w = 0. What is w?
1
Let r(a) be the second derivative of -a**4/72 + a**3/12 - 10*a. Suppose r(t) = 0. What is t?
0, 3
Let o(q) be the first derivative of q**3/21 - q**2/7 + 19. Find h such that o(h) = 0.
0, 2
Let t(a) be the first derivative of 0*a + 5/12*a**3 - 1/4*a**4 - 1/8*a**2 - 1. Factor t(z).
-z*(z - 1)*(4*z - 1)/4
Let a(q) = 2*q - 4. Let c be a(3). Let h(d) be the third derivative of -7/30*d**5 + 0*d - d**c + 4/3*d**3 + 0 - 1/12*d**6 + 2/3*d**4. Let h(p) = 0. Calculate p.
-2, -2/5, 1
Let z = 492 - 3435/7. Factor 0*b + z*b**4 + 3/7*b**2 + 0 - 9/7*b**3 - 3/7*b**5.
-3*b**2*(b - 1)**3/7
Factor 19 - 11 - 8 + p**3.
p**3
Let z(k) be the third derivative of