 u**2 + u**2 + 3*u**2 = 0 for u.
0
Let f(j) = -70*j**3 + 85*j**2 + 350*j - 310. Let h(i) = 5*i**3 - 6*i**2 - 25*i + 22. Let x(b) = 4*f(b) + 55*h(b). Factor x(r).
-5*(r - 3)*(r - 1)*(r + 2)
Let b(q) = -4*q**3 + 12*q**2 + 12*q - 7. Let r(v) = 2 - 4*v**2 - 4*v + 2*v**3 - 4*v**3 + 3*v**3. Let n(i) = -4*b(i) - 14*r(i). Factor n(y).
2*y*(y + 2)**2
Let g(h) = -h**3 - h**2 - 1. Let y(d) = -6*d**3 - 5*d**2 + d - 3. Let f = -6 + 7. Let a be (f - -2) + -8 + 4. Let z(j) = a*y(j) + 3*g(j). Factor z(m).
m*(m + 1)*(3*m - 1)
Let o be (-5)/3 + 1 + 1. Suppose 12 = 3*y, 19 = u + 5*y - 3. Determine j, given that o*j - 2/3 + 1/3*j**u = 0.
-2, 1
Find d such that -2/15*d**2 - 4/15*d + 0 = 0.
-2, 0
Let a(s) = -s**3 - 4*s**2 - 3*s - 8. Let y be a(-4). Let -4*j**3 - 3*j**3 + y*j**3 = 0. Calculate j.
0
Let z(x) be the first derivative of -3*x**5/5 - 3*x**4/4 + 3*x**3 + 3*x**2/2 - 6*x - 8. Factor z(c).
-3*(c - 1)**2*(c + 1)*(c + 2)
Let j(n) be the second derivative of -1/30*n**6 + 1/6*n**3 + 0 - 1/20*n**5 + 0*n**2 - 6*n + 1/12*n**4. Determine k so that j(k) = 0.
-1, 0, 1
Let n = -24/7 - -111/14. Factor 3 + 3/2*c**3 + 0*c**2 - n*c.
3*(c - 1)**2*(c + 2)/2
Let f = 9 + 7. Suppose -2*l + 11 = -x, x - 3*x = -2*l + f. Factor 9*q**l + 3*q**4 + 6*q**2 + 3*q - q**2 + 4*q**2 + 0*q**2.
3*q*(q + 1)**3
Suppose -5*v**2 + 26*v + 0*v**2 - 16*v = 0. What is v?
0, 2
Let x = -128/275 - 2/25. Let i = -1/22 - x. Factor -5/4*n**4 + 0 + i*n**3 + 0*n**2 + 0*n.
-n**3*(5*n - 2)/4
Let k be 1 - (6/3 + -1). Suppose 5*b - 10 = -k. Find p, given that -2/3*p**b + 0 + 0*p = 0.
0
Factor -28*h**2 + 6 + 4*h**3 + 15*h**2 + 25*h**2 + 12*h - 2.
4*(h + 1)**3
Let b(m) be the first derivative of 2*m**3/3 - 2*m**2 + 2*m + 16. Solve b(z) = 0 for z.
1
Let t be (0 - (0 + 0)) + 3. Suppose 0*z = 5*z. Suppose z + 0*u - 2/5*u**2 - 2/5*u**4 - 4/5*u**t = 0. What is u?
-1, 0
Let k(o) be the second derivative of o**6/10 - o**5/10 - o**4/3 + o**3/3 + o**2/2 + 4*o. Let k(j) = 0. Calculate j.
-1, -1/3, 1
Let a(i) = -i**2 - 4*i + 23. Let o be a(-7). Let q(n) be the first derivative of -4/5*n - 9/5*n**2 - 2/5*n**4 - o - 8/5*n**3. Factor q(c).
-2*(c + 2)*(2*c + 1)**2/5
Let x(v) be the third derivative of 0*v + 1/48*v**4 - 10*v**2 - 1/8*v**3 + 1/240*v**5 + 0. Determine i, given that x(i) = 0.
-3, 1
Let d(f) be the first derivative of -3*f**5/5 - 3*f**4/4 + f**3 + 3*f**2/2 - 47. Let d(t) = 0. Calculate t.
-1, 0, 1
Let j be (-1)/(0 - 1) - -2. Solve 2*w + 5*w**2 + 5*w**2 - w**4 - 2 - 4*w**j - 6*w**2 - w**4 + 2*w**5 = 0 for w.
-1, 1
Let y be (-1)/(-1)*(-11 + -6). Let x = -17 - y. Suppose x + 0*h - 1/3*h**2 = 0. Calculate h.
0
Solve 7*k**2 + 83*k + 50 - 10*k - 18*k - 2*k**2 = 0.
-10, -1
Let g(j) = j**2 - 8*j + 9. Let b be g(7). Factor -4*v - v**2 - v**b + 12*v**2.
2*v*(5*v - 2)
Let p(l) be the first derivative of l**3/21 + 17. Let p(z) = 0. What is z?
0
Let m(c) be the second derivative of -c**7/840 - c**6/120 - c**4/3 + 5*c. Let y(i) be the third derivative of m(i). Factor y(p).
-3*p*(p + 2)
Let o = -571/5 - -2153/15. Factor -17/3*w**4 + 56/3*w**3 - o*w**2 + 64/3*w + 2/3*w**5 - 16/3.
(w - 2)**4*(2*w - 1)/3
Let c = -16 - -16. Find t, given that -7*t + c*t - 6*t - 12 - 3*t**2 + t = 0.
-2
Find u, given that -2 + u**2 + 74*u**3 - 92*u**3 + 3*u**2 - 2*u**4 + 12*u**5 + 9*u - 3*u**5 = 0.
-1, 2/9, 1
Find y, given that -13*y - 20 + 12*y**2 - 32*y - 5*y**3 - 27*y**2 - 15*y**2 = 0.
-4, -1
Suppose 3*b = -3*j + 51, -4 = -3*j + 5. Suppose -1 = -4*o - g + 3, o + 4*g = -b. Factor y**2 - 5*y**3 - y**3 - 4*y**o + 3*y**3.
-3*y**2*(y + 1)
Suppose -z - 11 = -14. Let m(r) be the second derivative of -1/60*r**4 + 0*r**2 + 0 - r + 0*r**z. Suppose m(t) = 0. What is t?
0
Let j = 59 + -172/3. Determine u so that -3*u**2 - 1/3*u**4 - 7/3*u - 2/3 - j*u**3 = 0.
-2, -1
Let s(x) be the second derivative of -x**5/120 + x**4/24 - x**3/12 + x**2 - 2*x. Let c(w) be the first derivative of s(w). Factor c(b).
-(b - 1)**2/2
Let v(l) be the third derivative of 0*l**3 + 0*l**5 + 1/1176*l**8 - l**2 + 0 + 0*l - 1/420*l**6 + 0*l**4 + 0*l**7. Factor v(x).
2*x**3*(x - 1)*(x + 1)/7
Let o = 3 - 3. Let 9*f + o*f - 5*f + 2*f**2 = 0. What is f?
-2, 0
Let x = -24 - -49/2. Determine b so that -1/2*b**4 + 0*b + 0 - 1/6*b**2 + x*b**3 + 1/6*b**5 = 0.
0, 1
Factor 3/7*v**3 - 6/7*v + 3/7*v**2 + 0.
3*v*(v - 1)*(v + 2)/7
Let k be ((-1)/(-12))/((-3)/(-9)). Let z = -17 + 35/2. Factor z*d**2 - k*d**3 - 1/4*d + 0.
-d*(d - 1)**2/4
Let k(l) be the first derivative of -l**5/10 + l**4/2 - l**3 + l**2 - l/2 - 7. Factor k(y).
-(y - 1)**4/2
Let u be (-8 - -11)/(1 + 8). Solve 0 + 2/3*q**2 + u*q + 1/3*q**3 = 0.
-1, 0
Let q(f) be the first derivative of 5*f**6/6 - 3*f**5 + 5*f**4/2 + 10*f**3/3 - 15*f**2/2 + 5*f + 16. Factor q(a).
5*(a - 1)**4*(a + 1)
Let t = 29 + -40. Let c = t + 13. Determine g so that -1/2 + g - 1/2*g**c = 0.
1
Let n be (54/72)/((-3)/(-2)). Solve -3/2*f**3 - 3/2*f**2 - 1/2*f**4 + 0 - n*f = 0 for f.
-1, 0
Let v(t) be the second derivative of 5*t**4/12 - 5*t**3 + 25*t**2/2 + 7*t. What is m in v(m) = 0?
1, 5
Suppose 0*l - l = -2. Suppose -28 = -4*k + 5*r, 3*r + 8 = -k - 2. Factor -p - 3*p**3 - 6*p**l - p + 2*p**3 - k*p**4 - 5*p**3.
-2*p*(p + 1)**3
Factor -4/5*t**2 + 16/5 - 8/5*t + 2/5*t**3.
2*(t - 2)**2*(t + 2)/5
Let z be 26/6 + (-2)/6. Let w be ((-3)/(-6)*z)/8. Find v, given that -1/4 + w*v - 1/4*v**3 + 1/4*v**2 = 0.
-1, 1
Let x(h) be the third derivative of -1/96*h**4 - 1/120*h**5 + 0 - 1/480*h**6 + 6*h**2 + 0*h + 0*h**3. Let x(g) = 0. What is g?
-1, 0
Let w(g) be the third derivative of -7/50*g**5 - 1/10*g**3 + 0 - 3/20*g**4 - 9/350*g**7 + 0*g - 1/280*g**8 - 4*g**2 - 2/25*g**6. Factor w(s).
-3*(s + 1)**4*(2*s + 1)/5
Let y(u) be the third derivative of u**10/50400 - u**9/6720 + u**8/3360 + u**5/15 - 4*u**2. Let z(w) be the third derivative of y(w). Factor z(h).
3*h**2*(h - 2)*(h - 1)
Let w(f) = -f**3 + 3*f**2 - f + 1. Suppose -3*q = -o + 8, -2*o - 4 = 5*q + 2. Let j be w(o). Factor 4*i**j - 20*i**3 + 3*i**5 - 12*i**5 - 21*i**4 - 4*i**2.
-i**2*(i + 1)*(3*i + 2)**2
Let n be 7/((-112)/(-6))*8. Let r(p) be the first derivative of -2/3*p**3 + 2*p + 1/2*p**4 - p**2 + n. Solve r(f) = 0.
-1, 1
Let u(a) = -a**3 - 2 - 2 + a + 3 - 1 + 4*a**2. Let p be u(4). Factor 1 - d**p - d**2 + d**2.
-(d - 1)*(d + 1)
Let -3/5*h**2 + 0*h + 1/5*h**3 + 0 = 0. What is h?
0, 3
Let l(x) be the first derivative of 2 + 1/6*x**6 + 2/5*x**5 + 0*x - 1/2*x**2 + 0*x**4 - 2/3*x**3. Let l(c) = 0. Calculate c.
-1, 0, 1
Let f(b) be the second derivative of b**8/5040 - b**7/2520 - b**6/1080 + b**5/360 - 7*b**3/6 + b. Let x(h) be the second derivative of f(h). Factor x(y).
y*(y - 1)**2*(y + 1)/3
Let o(p) = p**2 + 8*p - 6. Let w be o(-8). Let v(a) = -a - 3. Let n be v(w). Suppose 3*j + 4*j - j**2 + n*j**3 - 4*j - 5*j = 0. What is j?
-2/3, 0, 1
Determine v so that -80*v - 81*v**3 + 24 + 41*v**2 + 67*v**3 + 21*v**2 = 0.
3/7, 2
Let j(s) be the third derivative of -s**8/6720 + s**7/1680 - s**5/60 + 8*s**2. Let h(y) be the third derivative of j(y). Determine q, given that h(q) = 0.
0, 1
Factor -2/11*x**2 - 2/11 - 4/11*x.
-2*(x + 1)**2/11
Let q(i) be the second derivative of i**7/2520 - i**6/120 + 3*i**5/40 - i**4/3 - 2*i. Let y(x) be the third derivative of q(x). Factor y(t).
(t - 3)**2
Let y be (0 + -3)*4/3. Let h be ((-9)/6)/(2/y). Factor -f**3 - 3*f**2 + 2*f**h + f - 3*f**2 + 4*f**2.
f*(f - 1)**2
Factor 14/9*i**2 - 8/9 + 0*i + 2/3*i**3.
2*(i + 1)*(i + 2)*(3*i - 2)/9
Let a(i) be the third derivative of 1/180*i**6 - 4*i**2 - 1/1512*i**8 + 0*i**4 + 0*i**7 - 1/135*i**5 + 0*i + 0*i**3 + 0. What is z in a(z) = 0?
-2, 0, 1
Let c be ((-1)/6)/((42/(-18))/7). Let 0 + 0*s + c*s**2 = 0. What is s?
0
Let z(x) be the third derivative of -x**5/4 - 7*x**4/8 - x**3 + 10*x**2. Determine c, given that z(c) = 0.
-1, -2/5
Let v(u) be the first derivative of 0*u - 1/12*u**2 + 1 + 1/9*u**3 - 1/24*u**4. Factor v(g).
-g*(g - 1)**2/6
Let r(d) = -d**3 + 6*d**2 + 7*d + 2. Let j be r(7). Let a = 147 - 439/3. Determine k so that 0 + a*k**j + 2/3*k = 0.
-1, 0
Let y(q) = 100*q**2 - 220*q - 45. Let g(p) = 9*p**2 - 20*p - 4. Let w(u) = 45*g(u) - 4*y(u). Factor w(l).
5*l*(l - 4)
Let s(u) be the first derivative of -2/21*u**3 - 2/7*u - 2 + 2/7*u**2. Factor s(l).
-2*(l - 1)**2/7
Let a(c) = -c**3 - 5*c**2 - 4*c - 3. Let l be a(-4). Let n be (l/(-5))/(3/2). Factor -n*q 