h + 1/180*h**5 + 0. Find c, given that f(c) = 0.
-1, 0, 2
Solve -2*p - 4*p + 2*p**2 - 5*p**2 = 0 for p.
-2, 0
Let v be 15/2*(-4)/5. Let q(j) = 4*j**5 + 2*j**4 - 2*j**3 + 2*j**2 - 2*j + 2. Let o(k) = -k**5 + k**3 - k**2. Let t(y) = v*o(y) - q(y). Solve t(a) = 0 for a.
-1, 1
Let i be 9/3 + (1 - -4). Find p, given that -3 - 3 + i*p + 4*p**2 + 6 = 0.
-2, 0
Let n(t) be the third derivative of t**6/480 + t**5/20 + t**4/2 + 8*t**3/3 - 26*t**2. What is k in n(k) = 0?
-4
Let g be 4*(1 - 0) - 2. Suppose -w = -2*w + g. Factor w*j + j**2 - j**2 - j**3 - j**3.
-2*j*(j - 1)*(j + 1)
Let l(r) be the second derivative of -9*r**6/10 + 9*r**5/4 + 7*r**4/2 - 6*r**3 - 12*r**2 - r. Solve l(u) = 0 for u.
-2/3, 1, 2
Let n = -142/5 + 29. Factor -6/5*a + 3/5*a**2 + n.
3*(a - 1)**2/5
Let k = 1079/5 - 215. Solve -4/5*b**4 + 0 + 1/5*b + 6/5*b**3 - k*b**2 + 1/5*b**5 = 0 for b.
0, 1
Suppose 6*m = 10*m. Let n(t) be the second derivative of 2*t + 0*t**2 + m - 1/12*t**3 - 1/24*t**4. Factor n(y).
-y*(y + 1)/2
Let x be (-59)/(63/((-4)/(-4))). Let d = -5/7 - x. Suppose -2/9*w**5 + 0 + 2/9*w**3 - d*w**4 + 2/9*w**2 + 0*w = 0. Calculate w.
-1, 0, 1
Let z be (360/(-63) - -4)/(22/(-7)). What is p in 4/11*p**3 - z*p**4 + 0*p + 0 + 2/11*p**2 = 0?
-1/3, 0, 1
Let v = -217 - -219. Solve 4/13 - 2/13*l - 2/13*l**v = 0.
-2, 1
Let m(s) be the first derivative of -s + 0*s**3 - 1 + 3/4*s**2 - 1/8*s**4. Determine n, given that m(n) = 0.
-2, 1
Let y = -426/7 - -62. Factor -22/7*p**3 + 12/7*p**4 + 18/7*p**5 + y*p + 0 - 8/7*p**2.
2*p*(p + 1)**2*(3*p - 2)**2/7
Let c(x) be the third derivative of 1/420*x**6 + 0*x**3 + 0 + 1/84*x**4 - 1/105*x**5 + 4*x**2 + 0*x. Factor c(w).
2*w*(w - 1)**2/7
Let m(c) = -23*c**3 + 19*c**2 - 54*c. Suppose 5*q - 4*k = 166, 2*q - 34 = -5*k + 39. Let u(v) = 4*v**3 - 3*v**2 + 9*v. Let s(p) = q*u(p) + 6*m(p). Factor s(y).
-2*y*(y - 3)**2
Suppose 2*n - 7*n = 0. Let f = -1 - -4. Factor n + 2*u - f*u**3 + u**2 + 0.
-u*(u - 1)*(3*u + 2)
Let c(o) be the second derivative of o**7/70 + o**6/60 + o**2 - 3*o. Let u(a) be the first derivative of c(a). Determine j, given that u(j) = 0.
-2/3, 0
Let y(b) = b**3 + 5*b**2 + b + 7. Let s be y(-5). Factor 4/3*h**s + 2/3 + 3*h.
(h + 2)*(4*h + 1)/3
Let h be (-5)/15 - (-7)/12. Let q(k) be the first derivative of 1/3*k**3 + 0*k - 2 - 1/5*k**5 - 1/2*k**2 + h*k**4. Solve q(g) = 0.
-1, 0, 1
Suppose 2*v - 18 = -4*v. Let t(o) be the first derivative of 0*o**2 + 2 + 2/3*o**v + 0*o. Let t(i) = 0. Calculate i.
0
Let g(o) be the first derivative of o**4/38 + 2*o**3/57 - 5*o**2/19 + 6*o/19 - 2. Solve g(n) = 0 for n.
-3, 1
Let f(o) = o**2 + 3*o. Let g be f(-5). Let w be (-1)/6*(g + -12). Factor -w*r + 5/3*r**2 - 4/3*r**3 + 0.
-r*(r - 1)*(4*r - 1)/3
Suppose -2*b + 7*b - 15 = 0. Suppose -b*y = y. Determine c, given that 0 + 1/6*c**2 - 1/6*c**4 + 0*c + y*c**3 = 0.
-1, 0, 1
Let u(x) be the first derivative of x**8/1260 - x**7/252 + x**6/270 - 4*x**3/3 + 3. Let l(s) be the third derivative of u(s). What is r in l(r) = 0?
0, 1/2, 2
Factor 0 + 5/4*s**2 + 5/4*s**3 + 0*s.
5*s**2*(s + 1)/4
Let n be (-1 + 2)*68/(-16). Let l = 9/2 + n. Factor l*d**2 + 1/4 - 1/2*d.
(d - 1)**2/4
Let m(s) be the first derivative of -s**7/105 + s**6/30 - s**4/6 + s**3/3 - 3*s**2/2 + 3. Let k(n) be the second derivative of m(n). Factor k(i).
-2*(i - 1)**3*(i + 1)
Let l(u) = 2*u - 10. Let t(c) = -c**3 - 5*c**2 + 5*c + 1. Let d be t(-6). Let k be l(d). Suppose 5/4*o**3 - 3/4*o**k - 1/4*o**2 + 0 - 1/4*o = 0. What is o?
-1/3, 0, 1
Solve -10*p - 2*p**4 + 2*p**3 + 4 - 4 + 8*p + 2*p**2 = 0 for p.
-1, 0, 1
Let x = 8 - 13/2. Let f be 0 + -7*4/(-112). Let x*w - f - 9/4*w**2 = 0. What is w?
1/3
Let k(z) = -z**3 + 5*z**2 + z - 5. Let m be (-8)/20 - 27/(-5). Let t be k(m). Solve t*n**2 - 1/2*n**3 + 0 + 0*n = 0 for n.
0
Let d(p) = p + 3. Let r be d(-3). Let s = 2712 + -2710. Let 1/4*m**4 + r + 1/4*m - 1/4*m**s - 1/4*m**3 = 0. What is m?
-1, 0, 1
Let z(n) = n**2 - 5*n + 2. Let h be z(5). Suppose 0 = 4*p - 5 - 51. Determine f so that -2*f + 8*f + 18*f**2 + p*f**3 - h*f = 0.
-1, -2/7, 0
Let k(u) be the third derivative of 0*u**4 + 3*u**2 + 0 + 1/240*u**6 - 1/672*u**8 + 1/120*u**5 + 0*u**3 + 0*u - 1/420*u**7. Solve k(y) = 0 for y.
-1, 0, 1
Determine v so that -6*v**2 + 4*v**3 + 5*v**2 + 4*v - 3*v**2 - 4*v**2 = 0.
0, 1
Let h be 4/8*(1 + 5). Suppose 5*f = -5*w + 25, 7 = 5*w - 7*f + 6*f. Factor 0*n**w + 1/3*n**h + 0*n + 0.
n**3/3
Let y be (-46)/(-40) + 4/(-10). Factor 0 + 1/4*v**4 + y*v**3 + 0*v + 1/2*v**2.
v**2*(v + 1)*(v + 2)/4
Let a(o) be the second derivative of -o**8/840 - o**7/420 + o**6/180 + o**5/60 + 2*o**3/3 + o. Let n(m) be the second derivative of a(m). Factor n(u).
-2*u*(u - 1)*(u + 1)**2
Find k such that -1/6*k**2 + 0 + 0*k - 1/6*k**3 = 0.
-1, 0
Let h = -8 + 8. Let u(v) be the first derivative of 1/3*v**3 + h*v + v**2 + 2. Factor u(c).
c*(c + 2)
Suppose -13*y + 4 = -11*y. Let h(o) be the third derivative of 1/150*o**5 - 1/60*o**4 + 0*o + o**y + 0*o**3 + 0. Solve h(u) = 0.
0, 1
Let t be (45 + -1)*21/(-28). Let u = 69/2 + t. Factor -u*i - 5/2*i**2 + 1.
-(i + 1)*(5*i - 2)/2
Let r be -1*(-2)/(-3)*-1. Solve 14/9*t - 10/9*t**4 + r*t**2 - 14/9*t**3 + 4/9 = 0.
-1, -2/5, 1
Suppose 0 = w + w + 2. Let c = w + 4. Let 0*g - 3*g**3 - 3*g + 4*g**c + 2 = 0. What is g?
-2, 1
Solve 750*d**2 + 3125 + 689*d + 1463*d + 348*d + 5*d**4 - 22*d**3 + 122*d**3 = 0.
-5
Let t(m) = -m**3 - 6*m**2 + 3. Let o be t(-6). Suppose -p + 11 = 3*p - j, o*p + j = 3. Suppose 8/7*v + 2/7 + 6/7*v**p = 0. Calculate v.
-1, -1/3
Let j be 5/2*(-1)/(-10). Let g = 1/12 + j. Factor -2/3*r**2 + 2/3 - 1/3*r + g*r**3.
(r - 2)*(r - 1)*(r + 1)/3
Let s(o) = -o**4 + o**3 - o**2 - o - 1. Let n(w) = -16*w**5 - 13*w**4 + 20*w**3 + 3*w**2 - 4*w - 5. Let k(t) = -3*n(t) + 15*s(t). Solve k(a) = 0 for a.
-1, -1/4, 0, 1
Let n(k) be the second derivative of k**8/30240 + k**7/5670 + k**6/3240 + k**4/4 + 3*k. Let c(a) be the third derivative of n(a). Determine u so that c(u) = 0.
-1, 0
Suppose -4/11*c**3 + 4/11*c + 0 - 6/11*c**2 + 6/11*c**4 = 0. Calculate c.
-1, 0, 2/3, 1
Suppose 2*f - 2 + 4 = 4*x, 3*f + x = 18. Suppose 10/9*s**f - 8/9 - 8/9*s + 46/9*s**4 + 70/9*s**3 + 34/9*s**2 = 0. Calculate s.
-2, -1, 2/5
Let c(j) be the third derivative of j**8/3360 + j**7/1260 - j**6/180 - j**4/8 - 7*j**2. Let h(p) be the second derivative of c(p). Factor h(z).
2*z*(z - 1)*(z + 2)
Let q = -121/3 + 134/3. Let c = q - 4. Find g such that -4/3*g**4 + 5/3*g**3 + 0 + 0*g + c*g**5 - 2/3*g**2 = 0.
0, 1, 2
Suppose 2*x = -3*j + 6, x = -x. Factor -4 + 9*v**j - 2*v + 0*v - 5*v + 2.
(v - 1)*(9*v + 2)
Suppose -4*n - 5*v = -0*n + 2, 0 = 3*v + 6. Determine i, given that 21/5*i**3 - 24/5 - 18*i**n + 108/5*i = 0.
2/7, 2
Suppose -2 = i - 2*i. Let o be ((-3)/12*0)/(4/2). Factor 1/4 + o*r - 1/4*r**i.
-(r - 1)*(r + 1)/4
Let k(u) be the first derivative of 1 + 0*u**2 + 2/9*u**3 + 0*u. Factor k(t).
2*t**2/3
Factor 10 + 2*d**2 - 2*d**2 + 2*d**2 - 25*d + 13*d**2.
5*(d - 1)*(3*d - 2)
Let z(t) be the first derivative of t**7/1050 - t**5/100 + t**4/60 + 3*t**2/2 + 3. Let f(g) be the second derivative of z(g). Factor f(o).
o*(o - 1)**2*(o + 2)/5
Let l(f) be the first derivative of 6 + 0*f + 1/4*f**2 - 1/8*f**4 + 0*f**3. Factor l(x).
-x*(x - 1)*(x + 1)/2
Let t(o) = -11*o**5 + 10*o**4 + 3*o**3 + 3*o**2 - 5. Let s(h) = 10*h**5 - 10*h**4 - 2*h**3 - 2*h**2 + 4. Let j(p) = -5*s(p) - 4*t(p). Solve j(b) = 0 for b.
-1/3, 0, 1
Suppose 4*u - 2*c = 0, 3*c - 4 = 2*c. Factor 13*o**2 - 14*o + 11*o - o**u.
3*o*(4*o - 1)
Determine x, given that -36*x**2 - 110*x**3 - 45*x**5 - 4*x**2 + 156*x - 161*x - 120*x**4 = 0.
-1, -1/3, 0
Let f(p) be the second derivative of p**7/42 + p**6/15 + p**5/20 + 19*p. Suppose f(s) = 0. What is s?
-1, 0
Suppose 5*u = 20, 2*y + 2*u - u = 10. Let l(n) be the first derivative of -9/4*n**4 - 3/5*n**5 - 3 - y*n**3 - 3/2*n**2 + 0*n. Factor l(p).
-3*p*(p + 1)**3
Let t(v) = -v - 3. Let k be t(-5). Suppose 5*f + k - 2*f**2 + 4*f**2 - f = 0. Calculate f.
-1
Suppose -4*m - 3 = -31. Suppose -s = 3*s - 5*d - 18, 5*d + 16 = 3*s. Factor 7 + s*n**2 - m - 2*n.
2*n*(n - 1)
Let t(c) be the third derivative of -c**7/840 + c**6/360 + c**4/8 - c**2. Let j(g) be the second derivative of t(g). Factor j(z).
-z*(3*z - 2)
Let k(s) be the second derivative of s**4/18 + 25*s. Let k(x) = 0. What is x?
0
Let x(f) be the