 4*y**t + 2*y**2 = 0.
-1, 1
Let y(i) be the second derivative of -i**4/28 - 2*i**3/7 + 15*i**2/14 - 14*i. Factor y(n).
-3*(n - 1)*(n + 5)/7
Let y(g) be the second derivative of -g**5/4 + 5*g**4/12 + 21*g. Factor y(w).
-5*w**2*(w - 1)
Suppose -5*d - 1 + 11 = 0. Solve -d*w**3 + 9 + 2*w - 9 = 0.
-1, 0, 1
Let u be (0/(-1))/(4/((-12)/3)). Factor -2/7*o**2 + 2/7 + u*o.
-2*(o - 1)*(o + 1)/7
Determine s so that 12*s**4 - 220*s**2 + 4*s**5 - 8*s**4 + 200*s - 12*s**3 + 24*s**4 = 0.
-5, 0, 1, 2
Let i(t) be the second derivative of -t**4/8 - t**3/2 - 3*t**2/4 - 18*t. What is j in i(j) = 0?
-1
Let a(p) = p**2 - 10*p + 6. Let q be a(12). Let d = q - 27. Factor 7/3*f + 2/3 - d*f**2.
-(f - 1)*(9*f + 2)/3
Suppose 2 = 5*k - 8. Let m = 4 - k. Factor -2/3*v**3 + 2/3*v**m + 0*v + 0.
-2*v**2*(v - 1)/3
Let n(i) = 2*i**3 + 2*i**2 - 4*i. Let t be n(-2). Suppose 2/11*c**2 - 8/11*c**4 + 6/11*c**3 + t + 0*c = 0. Calculate c.
-1/4, 0, 1
Let b = 107 + -103. Let q(h) be the third derivative of 1/12*h**b + 0 - 2*h**2 + 0*h + 1/120*h**5 + 1/3*h**3. Factor q(l).
(l + 2)**2/2
Let c(z) = 6*z - 4. Let s be c(1). Let a(m) be the second derivative of -1/3*m**3 + 0 + 0*m**2 + 2/3*m**4 + s*m. Determine v, given that a(v) = 0.
0, 1/4
Let y(n) be the second derivative of 0*n**2 + 2*n + 1/27*n**3 + 0 - 1/54*n**4. Factor y(t).
-2*t*(t - 1)/9
Let f(q) = -2*q**3. Suppose 2*l + 6 = -0, -2*l - 10 = -2*m. Let b(p) = -10*p**3 + p**2 - p - 1. Let u(n) = m*b(n) - 11*f(n). What is x in u(x) = 0?
-1, 1
Let i(l) be the second derivative of l**5/270 + l**4/108 + 2*l**2 + 3*l. Let a(h) be the first derivative of i(h). Find k such that a(k) = 0.
-1, 0
Let w = 9 + -5. Suppose 3*y + 5*b - 37 = 0, -y + 4*y - w*b + 8 = 0. Factor -2/3*p**y - 4/3 - 10/3*p**3 - 6*p**2 - 14/3*p.
-2*(p + 1)**3*(p + 2)/3
Let h(o) be the third derivative of -o**6/105 + 3*o**5/70 + 5*o**4/42 - o**3/7 - 3*o**2. Suppose h(x) = 0. What is x?
-1, 1/4, 3
Let g(r) be the second derivative of -r**4/42 - 4*r**3/21 - 3*r**2/7 + 12*r. Factor g(v).
-2*(v + 1)*(v + 3)/7
Suppose 0 = 42*b - 14*b. Factor 1/4*r**2 + b*r - 1/4.
(r - 1)*(r + 1)/4
Let w(j) be the second derivative of -j**5/120 + j**3/36 + 6*j. Suppose w(p) = 0. Calculate p.
-1, 0, 1
Suppose o - 4*u + 8*u = 8, 5*u = 0. Suppose -3*l - o = 2*w, 0 = -5*w + l - 4*l - 2. Let -1/4*p**w - 1/2*p - 1/4 = 0. Calculate p.
-1
Let k = -28 + 14. Let n be (15/35)/((-8)/k). Let -3/4*v**3 - 1/4*v**2 + n*v - 1/4 + 1/2*v**4 = 0. What is v?
-1, 1/2, 1
Factor 4/7*n - 4/7*n**3 - 8/7 + 8/7*n**2.
-4*(n - 2)*(n - 1)*(n + 1)/7
Let j(p) be the second derivative of -p**6/6 + 2*p**5/5 - p**4/12 - p**3/3 + 5*p. Factor j(d).
-d*(d - 1)**2*(5*d + 2)
Let d(x) be the third derivative of x**7/12600 - x**6/1800 + x**5/600 + x**4/8 - 2*x**2. Let k(f) be the second derivative of d(f). Factor k(n).
(n - 1)**2/5
Let l(t) be the first derivative of 2*t**5/5 + 5*t**4/6 - 2*t**3/9 - 5*t**2/3 - 4*t/3 - 8. Find c, given that l(c) = 0.
-1, -2/3, 1
Let r(o) be the second derivative of 3/40*o**5 + 7*o + 23/24*o**4 + 13/12*o**3 + 0 - 3/20*o**6 + 1/2*o**2. Suppose r(y) = 0. Calculate y.
-1, -1/3, 2
Suppose -2*k**2 + k**3 - 2*k**2 + 3*k**2 = 0. Calculate k.
0, 1
Suppose 0*x = -3*x + 6. Factor -1 - 2*u - 2*u**x + 3 - 2*u**3 + 4*u**3.
2*(u - 1)**2*(u + 1)
Let k(y) be the second derivative of 0 + 1/12*y**4 - 1/2*y**2 - 1/20*y**5 + 1/6*y**3 - 4*y. What is z in k(z) = 0?
-1, 1
Let y(s) be the third derivative of s**8/2184 + 2*s**7/1365 - s**6/780 - s**5/195 + 3*s**2. Suppose y(n) = 0. Calculate n.
-2, -1, 0, 1
Determine z, given that 10*z**2 + 20 - 5*z**3 + 2*z + 9*z + 24*z = 0.
-1, 4
Let h = 247/5 + -49. Suppose 2/5*i + 0 + h*i**2 = 0. What is i?
-1, 0
Let b be (-14)/(-119)*(-37)/(-6). Let c = b + -1/17. Let 0 + c*a**2 + 0*a = 0. Calculate a.
0
Let u be (-92)/(-6) - 8/24. Suppose -2*d + 10 = m + 2*m, -2*m + 3*d - u = 0. Determine x, given that -2/3*x**3 - 2/3*x**2 + m + 0*x = 0.
-1, 0
Let d be (63/56)/((-21)/(-28)). Solve 0*z**2 + 1/2*z - d*z**3 + 0 - z**4 = 0 for z.
-1, 0, 1/2
Let f(h) be the third derivative of 0*h**3 - 1/672*h**8 - 1/420*h**7 + 0*h**4 + 0 + 1/120*h**5 - 2*h**2 + 1/240*h**6 + 0*h. Factor f(b).
-b**2*(b - 1)*(b + 1)**2/2
Let q be 1/((-2)/4 + 1). Suppose q*d = 10 - 6. Factor -1/4*h**3 - 1/4*h**d + 0 + 1/2*h.
-h*(h - 1)*(h + 2)/4
Let p(r) = -r. Let o be p(-4). Let b(c) be the first derivative of -1/8*c**2 + 1/12*c**3 + 1/16*c**o + 1 - 1/4*c. Find z, given that b(z) = 0.
-1, 1
Let n(y) be the third derivative of -243*y**6/40 - 189*y**5/20 - 6*y**4 - 2*y**3 + y**2. Factor n(b).
-3*(3*b + 1)*(9*b + 2)**2
Let f(w) = w + 7. Let l be f(-5). Suppose -4*m = -l*t - 20, 3*m + t - 16 = 3*t. Factor -k**4 + 4*k**m + 6*k**2 + 0*k**4 + 9*k**3.
3*k**2*(k + 1)*(k + 2)
Find h, given that 1/2*h**2 + 1/2 + h = 0.
-1
Let r(x) be the third derivative of 0*x**3 - 1/120*x**6 + x**2 + 0 - 1/120*x**5 + 0*x**4 - 1/420*x**7 + 0*x. Determine a, given that r(a) = 0.
-1, 0
Let h(q) be the second derivative of q**7/525 - q**6/100 + q**4/15 - 2*q**2 + 4*q. Let x(f) be the first derivative of h(f). What is v in x(v) = 0?
-1, 0, 2
Suppose -42*j**3 - 2*j**3 - j**3 - 120*j**4 - 5*j**2 - 80*j**5 = 0. What is j?
-1, -1/4, 0
Factor 2 + 8/3*x**2 - 26/3*x.
2*(x - 3)*(4*x - 1)/3
Let p = -4/21 + 11/21. Suppose b - 3*b = 2*j - 10, j = 5. Find s, given that 0*s + b + p*s**2 = 0.
0
Suppose 5*g - g - 36 = -4*i, -4*g + 40 = 5*i. Suppose i*l = 11*l - 14. Solve 6/5 - 3/5*j - 3/5*j**l = 0 for j.
-2, 1
Let w(k) be the third derivative of -1/18*k**3 - 1/180*k**6 + 0*k**5 + 1/630*k**7 + 0*k + 0 + 1/36*k**4 - 2*k**2. Factor w(i).
(i - 1)**3*(i + 1)/3
Let -40 + 36*n + 16*n**2 - 6*n - 21*n**2 = 0. Calculate n.
2, 4
Let r be (36/45)/(3/(-20)). Let t = r + 124/21. Let t*u - 2/7 - 2/7*u**2 = 0. Calculate u.
1
Solve 4/3*d + 1/3*d**2 + 4/3 = 0.
-2
Let p(j) be the first derivative of -j**7/1680 - j**6/720 + 7*j**3/3 + 9. Let y(z) be the third derivative of p(z). Factor y(l).
-l**2*(l + 1)/2
Let b(t) be the third derivative of 0 - 1/420*t**6 + 2*t**2 - 1/105*t**5 + 1/84*t**4 + 2/21*t**3 + 0*t. Let b(f) = 0. Calculate f.
-2, -1, 1
Factor -1/3*i**3 + 1/6 + 1/3*i**2 - 1/2*i**4 - 1/6*i**5 + 1/2*i.
-(i - 1)*(i + 1)**4/6
Factor -4/5*v**3 - 12/5*v**2 + 12/5 + 4/5*v.
-4*(v - 1)*(v + 1)*(v + 3)/5
Determine i, given that 1286 - 2*i**2 + i + 3*i**3 - 1284 - 4*i**3 = 0.
-2, -1, 1
Let b(m) = m - 2. Let v(d) = d**2 - d - 1. Let g(a) = -b(a) - v(a). Let u be g(0). Let 0*y**u - 4*y**3 + 8 + 8*y - 3*y**2 - 3*y**2 + 2*y**4 = 0. What is y?
-1, 2
Suppose 2*v = -4*g - 20, -2*v = 7*g - 2*g + 25. Factor -2/7*t**2 + v + 0*t + 2/7*t**3 - 2/7*t**5 + 2/7*t**4.
-2*t**2*(t - 1)**2*(t + 1)/7
Let z be (2/(-30))/((-5)/15). Let j(a) be the first derivative of -1/3*a**3 - 2 + z*a**5 + 0*a - 1/4*a**4 + 1/2*a**2. What is t in j(t) = 0?
-1, 0, 1
Let n(a) = -8*a. Let j be n(-1). Factor -b**3 - 5*b**3 - 2*b**2 - 4*b - j*b**2.
-2*b*(b + 1)*(3*b + 2)
Let d = -12/203 + 10/29. What is x in d - 2/7*x**2 + 0*x = 0?
-1, 1
Let j(r) = r + 7. Let p be j(-5). Suppose -6 = 3*x + 4*t, p*t = -0*x + 5*x - 16. Suppose -2*n + 0 - 1 + 4*n - n**x = 0. What is n?
1
Solve -147/2*x**2 + 84*x - 24 = 0 for x.
4/7
Let g(z) be the first derivative of -7*z**4/38 + 46*z**3/57 - 20*z**2/19 + 8*z/19 + 7. Suppose g(p) = 0. What is p?
2/7, 1, 2
Let l(c) be the first derivative of -2*c**3/3 + 2*c**2 + 1. Find o such that l(o) = 0.
0, 2
Let z(m) be the third derivative of 0*m - m**2 - 1/30*m**5 + 1/6*m**4 + 0 - 1/3*m**3. Determine g, given that z(g) = 0.
1
Let v(t) = t**4 + t**2 - 1. Let m(k) = 8*k**4 + 10*k**3 + 24*k**2 + 14*k - 2. Let p(g) = 2*m(g) - 12*v(g). Solve p(z) = 0 for z.
-2, -1
Let m(d) = -d**3 - 10*d**2 - d - 7. Let f be m(-10). Factor -2/5*s**5 + 2/5*s**4 + 2/5 - 2/5*s + 4/5*s**f - 4/5*s**2.
-2*(s - 1)**3*(s + 1)**2/5
Solve -h**2 + 9*h**2 + 2*h + 0*h**2 - 9*h**2 - 1 = 0.
1
Let p be 18/14 + 8/2 + -5. Factor p*r**5 + 0*r**2 + 0 - 4/7*r**3 + 2/7*r + 0*r**4.
2*r*(r - 1)**2*(r + 1)**2/7
Let j(d) be the third derivative of 0*d**3 - 1/21*d**7 + 0*d**4 + 0 + 1/56*d**8 + 0*d - 1/15*d**6 + 9*d**2 + 2/15*d**5. Let j(z) = 0. Calculate z.
-1, 0, 2/3, 2
Let r = -22 - -28. Let v(p) be the third derivative of -1/12*p**4 - 2*p**2 + 1/20*p**5 + 0*p**3 - 1/120*p**r + 0*p + 0. What is b in v(b) = 0?
0, 1, 2
Let a(k) be the third derivative of k**6/600 + k**