 l in m(l) = 0?
2
Let x be 44 + -3 - (2 - 1). Suppose w - x = -3*w + 4*g, 0 = -4*w + 3*g + 43. Factor r**4 + 4*r - 3*r - w*r**3 - 2 + 4*r**4 + 9*r**2.
(r - 1)**3*(5*r + 2)
Let u(x) = 10*x**3 + 10*x**2 - 10. Let f(l) = 9*l**3 + 10*l**2 - l - 10. Let v(z) = -5*f(z) + 4*u(z). What is p in v(p) = 0?
-2, -1, 1
Let o**2 - o**4 + 1/2*o - 1/2*o**5 + 0 + 0*o**3 = 0. Calculate o.
-1, 0, 1
Suppose 0 = -o + 2*o + 2. Let i be o*((-6)/3)/18. Factor 0 + 0*g - 2/9*g**5 + 2/9*g**4 - i*g**2 + 2/9*g**3.
-2*g**2*(g - 1)**2*(g + 1)/9
Let v(p) = -p**2 + p - 1. Let d(t) = -3*t**2 + 6*t - 9. Let o be 7*(-1 - 0) + 1. Let l(q) = o*v(q) + d(q). Determine c so that l(c) = 0.
-1, 1
Let u = -221 - -1549/7. Let -u*w + 2/7*w**2 + 0 = 0. What is w?
0, 1
Factor 10*x - x**2 + 4 - x**2 + 6*x**2 - 2*x.
4*(x + 1)**2
Let h(x) be the second derivative of 0 + 1/36*x**4 - 1/18*x**3 + 0*x**2 + 2*x. Find m, given that h(m) = 0.
0, 1
Let 4*f**3 - 2*f**4 + 0*f - 11*f**2 - 3*f**2 + 8*f**4 + 4*f = 0. Calculate f.
-2, 0, 1/3, 1
Let o = 13 - 10. Suppose -6 = o*j - 12. Solve -6*a**3 + 3*a + 3/4*a**4 + 3/4 - 3/2*a**j + 3*a**5 = 0.
-1, -1/4, 1
Solve -2/3 - 2/3*m**3 - 2*m - 2*m**2 = 0 for m.
-1
Let r be ((-9)/(-63))/((-1)/(-1206)). Let q = -172 + r. Factor -q*u**3 - 6/7*u + 6/7*u**2 + 2/7.
-2*(u - 1)**3/7
Let k be ((-196)/88)/7 - 2/(-4). Factor k*u**4 + 6/11*u**2 + 0 + 2/11*u + 6/11*u**3.
2*u*(u + 1)**3/11
Let m(t) = 4*t**4 + 4*t**3 + 9*t**2 - 16*t + 9. Let n(x) = x**4 + x**3 - x + 1. Let w(o) = -m(o) + 5*n(o). Find i such that w(i) = 0.
-4, 1
Let z(y) be the third derivative of y**8/168 + 2*y**7/105 + y**6/60 + 11*y**2. Let z(w) = 0. Calculate w.
-1, 0
Let q(j) be the second derivative of 1/15*j**6 + 0 - 1/3*j**4 + 0*j**5 + 0*j**3 + j**2 + 2*j. Determine r so that q(r) = 0.
-1, 1
Let j = 7 + -4. Factor 2*l**3 + 2*l**4 - 3*l**j - l**3 + l**2 - l**4.
l**2*(l - 1)**2
Suppose 11 = 5*j + z + 2*z, 3*j + 2*z = 6. Suppose 2 = 3*y - j. Factor 3*u**3 + 3*u**y - 5*u**4 + 0*u**2 + 3*u**5 - 2*u - 2*u**4.
u*(u - 1)**3*(3*u + 2)
Let h = 10 - 8. Suppose -2*w + 0*w - h = 2*p, -3*w = -p + 15. Factor 2*m**5 + 13*m**p + 1 + 8*m**2 - 10*m**4 + 7*m**3 - 28*m**2 + 10*m - 3.
2*(m - 1)**5
Let v be -1*((-4 - (-44)/48) + 3). Let q(d) be the first derivative of -4 + 1/8*d**2 + 0*d + v*d**3. Determine h, given that q(h) = 0.
-1, 0
Let a be (-11)/5 - 1/(-5). Let g = a - -4. Factor -3*y**2 + 0*y + 3*y - 1 - y**3 + g*y**3.
(y - 1)**3
Let a(o) = -4*o**2 - 2*o + 5. Let c(d) be the third derivative of -d**5/60 + d**3/6 + d**2. Let y = 57 - 58. Let i(h) = y*a(h) + 5*c(h). Factor i(m).
-m*(m - 2)
Suppose c = 2*f - 14 - 0, -4*f + 20 = -4*c. Find o, given that -o**4 + 0*o**4 - 2*o**4 + 3*o - 9*o**2 + f*o**3 = 0.
0, 1
Let u = -682 + 40921/60. Let i(g) be the second derivative of 0*g**2 + u*g**6 - 1/40*g**5 + 0 + 0*g**4 + 2*g + 0*g**3. Factor i(o).
o**3*(o - 1)/2
Factor -6/5*l - 1/5*l**3 - 7/5*l**2 + 0.
-l*(l + 1)*(l + 6)/5
Let t be -1 + ((-130)/(-35))/2. Suppose t*x**2 + 2/7*x**3 + 2/7 + 6/7*x = 0. Calculate x.
-1
Let r = -31 - -51. Factor 3 - r*y - 4*y**2 + 17*y + 3 - 5.
-(y + 1)*(4*y - 1)
Let g(t) be the second derivative of 3*t**5/20 - t**4/2 - 2*t. Solve g(s) = 0.
0, 2
Let p(j) be the third derivative of 1/120*j**6 + 1/20*j**5 - 3*j**2 + 1/6*j**3 + 1/8*j**4 + 0*j + 0. Let p(h) = 0. What is h?
-1
Let f(i) = -2*i**2 - 30*i + 1. Let z be f(-15). Let -z - 1/4*y**2 + y = 0. What is y?
2
Let j be (-4)/10 - (-8)/20. Factor -2/3*a + j + 8/3*a**2 - 2/3*a**5 - 4*a**3 + 8/3*a**4.
-2*a*(a - 1)**4/3
Factor 361*c + 3*c**2 - 361*c - 3.
3*(c - 1)*(c + 1)
Let k(a) be the second derivative of 4/3*a**3 + 13/9*a**4 + 8/45*a**6 + 0 + 4/5*a**5 - 3*a + 2/3*a**2. Let k(n) = 0. Calculate n.
-1, -1/2
Let t be 4/(-6) - ((-3)/(-27) + -1). Suppose 0 - 8/9*p**2 - t*p + 2/9*p**3 + 8/9*p**4 = 0. What is p?
-1, -1/4, 0, 1
Find p, given that 0 - 2/9*p**2 + 2/9*p = 0.
0, 1
Let f(a) be the second derivative of a**7/63 + a**6/15 + a**5/15 - 2*a. Factor f(m).
2*m**3*(m + 1)*(m + 2)/3
Let u(g) be the third derivative of 3*g**5/4 + 55*g**4/24 + 5*g**3/3 + 25*g**2 - 2*g. Solve u(y) = 0 for y.
-1, -2/9
Let b(d) be the third derivative of -d**8/504 + d**7/315 + d**6/90 - d**5/45 - d**4/36 + d**3/9 + 7*d**2. Factor b(k).
-2*(k - 1)**3*(k + 1)**2/3
Suppose -15/2*l + 9/2*l**3 - 9 + 12*l**2 = 0. Calculate l.
-3, -2/3, 1
Find d, given that 15*d - 4 - 5*d - d**2 - 5*d = 0.
1, 4
Suppose 59 = 13*y + 20. Solve -1/2 - i**y - i**2 + 7/4*i = 0.
-2, 1/2
Let j(n) be the first derivative of 49*n**6/15 + 7*n**5 - n**4/2 - 20*n**3/3 + 4*n**2 - n + 1. Let q(u) be the first derivative of j(u). Factor q(l).
2*(l + 1)**2*(7*l - 2)**2
Let n = 41/6 + -13/2. Determine q so that q - 2/3 - n*q**2 = 0.
1, 2
Let y = -1/60 - -1/10. Let u(r) be the first derivative of 1/9*r**3 + 1 + 0*r - 1/15*r**5 - 1/6*r**2 + y*r**4. Find q, given that u(q) = 0.
-1, 0, 1
Let l(q) = 5 - 3*q**3 - 8 - q**3 - 4*q - 4*q**2 + 2*q**3. Let r be l(-2). Find y such that 7/3*y**r + 4/3*y**2 - 2/3 - 2/3*y**4 - 14/3*y**3 + 7/3*y = 0.
-1, 2/7, 1
Let r = 2532/6355 + 2/1271. Factor 8/5*a**2 + r*a**3 + 2*a + 4/5.
2*(a + 1)**2*(a + 2)/5
Let l(p) be the first derivative of p**4 + 4*p**3/3 - 6. Suppose l(z) = 0. What is z?
-1, 0
Let f(d) be the second derivative of 0*d**2 - 1/120*d**5 + 6*d + 1/36*d**4 + 0 - 1/36*d**3. Let f(w) = 0. Calculate w.
0, 1
Let u(y) be the first derivative of y**8/240 - 2*y**7/105 + 11*y**6/360 - y**5/60 - 2*y**3 + 4. Let w(p) be the third derivative of u(p). Factor w(r).
r*(r - 1)**2*(7*r - 2)
Determine w so that 0 - 4/9*w**2 + 4/9*w**4 + 4/9*w**3 - 4/9*w = 0.
-1, 0, 1
Factor 106 - 7056*l**3 + 7014*l**3 - 406 - 514*l + 94*l - 3*l**4 - 207*l**2.
-3*(l + 2)**2*(l + 5)**2
Let o = -18 + 2. Let c(h) = 26*h**2 - 2*h + 2*h - 26. Let n(z) = 5*z**2 - 5. Let t(i) = o*n(i) + 3*c(i). What is d in t(d) = 0?
-1, 1
Let p be (-12)/(-54) + 544/(-2124). Let a = p - -242/177. Factor -2 + a*u - 2/9*u**2.
-2*(u - 3)**2/9
Let k(q) be the second derivative of q**6/15 - q**5/40 - q**4/6 + q**3/12 - 12*q. Factor k(m).
m*(m - 1)*(m + 1)*(4*m - 1)/2
Let k(c) be the first derivative of -39/4*c**4 - 6*c**2 - 1/2*c**6 + 12*c**3 + 2 + 18/5*c**5 + 0*c. Factor k(o).
-3*o*(o - 2)**2*(o - 1)**2
Let z = 9 - 6. Let h = 480 - 3350/7. Factor -4/7 + 2/7*b**z - 8/7*b**2 + h*b.
2*(b - 2)*(b - 1)**2/7
Let a(t) be the third derivative of t**7/1260 - t**6/360 + t**4/72 - t**3/36 - 6*t**2. Factor a(x).
(x - 1)**3*(x + 1)/6
Let 3*q**2 + q**2 + 6*q**3 + 2*q**4 - 2*q**2 - 4 - 6*q = 0. Calculate q.
-2, -1, 1
What is m in -3/2*m**3 - 21/2*m**2 - 15/2 - 33/2*m = 0?
-5, -1
Let t be 33/12 - 2/(-8). Let k(p) be the first derivative of 0*p**2 + 2/27*p**t - 2/9*p - 1. Factor k(l).
2*(l - 1)*(l + 1)/9
Let c(h) = -h**3 + 44*h**2 + 143*h - 90. Let a be c(47). Factor -3/2*d**3 - 1/2*d**a + 0 - 1/2*d - 3/2*d**2.
-d*(d + 1)**3/2
Let q = 9 - 7. Factor 6*v + v**2 + 0*v**2 + 9 + v**2 - v**q.
(v + 3)**2
Let d(r) be the first derivative of -2*r**6/9 + 4*r**5/15 + 2*r**4/3 - 8*r**3/9 - 2*r**2/3 + 4*r/3 + 7. Determine t so that d(t) = 0.
-1, 1
Let s be 9/(81/12)*3. Suppose 5*x + s = 2*a - 5, 4*a - 4*x = 12. Factor -10/9*k**a - 2/3*k + 0.
-2*k*(5*k + 3)/9
Let x be -6*4/(-48)*(1 + 3). Factor -8/5*w**3 - 2/5*w**4 + 0 - 4/5*w - x*w**2.
-2*w*(w + 1)**2*(w + 2)/5
Let w(p) be the second derivative of 2/5*p**2 + 0 + 1/6*p**4 + 4*p - 7/15*p**3. Factor w(u).
2*(u - 1)*(5*u - 2)/5
Let m(s) be the first derivative of -1/9*s**3 - 1/3*s**2 + 0*s - 8. Determine y, given that m(y) = 0.
-2, 0
Let x(v) be the first derivative of -v**7/280 - v**6/60 - v**5/40 + 2*v**3 - 4. Let m(y) be the third derivative of x(y). Factor m(o).
-3*o*(o + 1)**2
Let r(a) be the first derivative of a**3/3 + a**2/2 + 2. Let d be r(0). Factor 0 + 1/3*y + d*y**2 - 1/3*y**3.
-y*(y - 1)*(y + 1)/3
Let l(q) be the first derivative of -7*q**4/18 + 32*q**3/27 - 11*q**2/9 + 4*q/9 - 10. Factor l(y).
-2*(y - 1)**2*(7*y - 2)/9
Let u(l) = 55*l**4 + 55*l**3 - 10*l**2 - 10*l - 45. Let n(r) = 5*r**4 + 5*r**3 - r**2 - r - 4. Let s(w) = -45*n(w) + 4*u(w). Factor s(j).
-5*j*(j - 1)*(j + 1)**2
Suppose -5*m + 15 = -0. Let c(d) be the second derivative of 1/8*d**4 + 0 - 1/2*d**2 - 3*d - 1/12*d**m. Factor c(i).
(i - 1)*(3*i + 2)/2
Let g(u) be the first derivative of -u**5/15 + u**4/12 + u**3/3 - u**2/6 - 2*u/3 + 9. Determine f, given t