0*x**6 - 8*x**2 + 0 + 0*x**4 + 0*x. Find l such that n(l) = 0.
0, 2
Let a be (1/4)/(-1) - 578/(-136). Find v such that -2/9*v**2 + 0*v + 2/9*v**a + 2/9*v**3 + 0 - 2/9*v**5 = 0.
-1, 0, 1
Let p = 5 + -3. Let k(v) be the first derivative of -v**3 + 0*v + 2 - 3*v**2 + 0*v**p + 2 - 3*v. Factor k(i).
-3*(i + 1)**2
Let m be 0/(-1)*35/(-175). Factor 2/3*k + m + 2/3*k**2.
2*k*(k + 1)/3
Let a(g) be the second derivative of g**6/45 + g**5/30 - g**4/18 - g**3/9 - 2*g. Let a(d) = 0. What is d?
-1, 0, 1
Let s = 6 + -12. Let p = s - -9. Determine h so that 2*h**5 + 3*h**2 + 6*h**4 + 0*h**p - h**2 + 9*h**3 - 3*h**3 = 0.
-1, 0
Let m(o) be the first derivative of 4*o**3/21 + 8*o**2/7 + 16*o/7 + 16. Factor m(s).
4*(s + 2)**2/7
Let f(i) be the first derivative of 0*i - 3 + 1/22*i**4 - 4/33*i**3 + 0*i**2 + 4/55*i**5 - 1/33*i**6. Let f(b) = 0. Calculate b.
-1, 0, 1, 2
Factor 16/5*g**2 - 36/5*g + 8/5.
4*(g - 2)*(4*g - 1)/5
Let d(o) be the first derivative of o**3 - 4 - 1/2*o**2 + 0*o - 1/2*o**4. Let d(q) = 0. What is q?
0, 1/2, 1
Let c be (2/112)/((-35)/(-28)). Let g(l) be the third derivative of -1/420*l**6 - l**2 - c*l**5 + 0 + 0*l - 1/21*l**3 - 1/28*l**4. What is m in g(m) = 0?
-1
Let r(z) = 2*z**2 + 8*z - 24. Let q be r(-6). Let -1/2*b**2 + 0 - b**3 + q*b - 1/2*b**4 = 0. What is b?
-1, 0
Factor -125 + 125 + 3*c - 3*c**3.
-3*c*(c - 1)*(c + 1)
Let k(i) = i**3 - 2*i**2 + i - 12. Let y be k(3). Factor -1/3*z**5 - 1/3*z**2 + y - z**4 - z**3 + 0*z.
-z**2*(z + 1)**3/3
Let -50*p - 3*p**2 - 144 + 19 - 2*p**2 = 0. What is p?
-5
Determine q so that -2/3*q + 0 - 2/3*q**4 - 2*q**2 - 2*q**3 = 0.
-1, 0
Let k(r) be the second derivative of r**2 + 1/12*r**3 + 2*r - 1/96*r**4 + 0 - 1/240*r**5. Let i(t) be the first derivative of k(t). Factor i(f).
-(f - 1)*(f + 2)/4
Let -8/7*o + 4*o**2 + 0 - 30/7*o**3 + 9/7*o**4 = 0. What is o?
0, 2/3, 2
Let z = -6 - -6. Let q = 29 + -143/5. Factor 0*f**3 + 2/5*f**4 - q*f**2 + z + 0*f.
2*f**2*(f - 1)*(f + 1)/5
Let k(h) be the third derivative of -h**7/10080 - h**6/2880 + h**5/240 - h**4/8 + 5*h**2. Let c(y) be the second derivative of k(y). Factor c(m).
-(m - 1)*(m + 2)/4
Factor -4/3*g - 2/3*g**2 + 0.
-2*g*(g + 2)/3
Let w = 14 + -14. Let f(p) be the first derivative of 0*p**2 - 2 + 0*p**3 + w*p + 1/2*p**4. Solve f(h) = 0 for h.
0
Let p(a) be the first derivative of a**4/4 - 2*a**3/3 + a**2/2 + 5. Find l, given that p(l) = 0.
0, 1
Let k(v) be the third derivative of v**8/336 - 2*v**7/105 + v**6/30 + v**5/30 - 5*v**4/24 + v**3/3 - 9*v**2. Factor k(a).
(a - 2)*(a - 1)**3*(a + 1)
Let s(w) be the second derivative of 3*w**5/40 + w**4/4 - 8*w. Factor s(g).
3*g**2*(g + 2)/2
Let s = 32 + -24. Suppose 0 = -4*z + s*z. Factor z*j**2 + 0*j - 2/3*j**4 + 0 + 4/3*j**3.
-2*j**3*(j - 2)/3
Let s = 1167 - 1167. Solve 0*m**3 + m**2 + s*m - 1/2*m**4 - 1/2 = 0 for m.
-1, 1
Let x be (1 - 10/(-8))*8/12. Factor 19/2*l**2 - 17/2*l**3 + 5/2*l**5 - 2 - x*l**4 + 0*l.
(l - 1)**3*(l + 2)*(5*l + 2)/2
Let k be 1/(-20)*(-10)/36. Let a(q) be the third derivative of 0 + 0*q - 1/180*q**5 + 0*q**3 - 2*q**2 + k*q**4. Factor a(u).
-u*(u - 1)/3
Let t(a) = -a + 8. Let p be t(6). Let g(i) be the second derivative of 10/3*i**4 + 0*i**p - 14/3*i**6 + 3*i - 4/3*i**3 + 0 - 7/3*i**7 + 3/10*i**5. Factor g(v).
-2*v*(v + 1)**2*(7*v - 2)**2
Let k(s) be the third derivative of 9*s**6/40 - 21*s**5/20 + 2*s**4 - 2*s**3 - 18*s**2. Factor k(y).
3*(y - 1)*(3*y - 2)**2
Let h(v) be the third derivative of -v**8/16800 + v**7/3150 - 7*v**4/24 + 6*v**2. Let a(l) be the second derivative of h(l). Factor a(c).
-2*c**2*(c - 2)/5
Let g(p) be the second derivative of -p**4/20 - p**3/5 + 11*p. Factor g(h).
-3*h*(h + 2)/5
Let s be 2*(-4 + (-135)/(-42) - -1). Determine m so that -s*m + 0 - 3/7*m**3 - 6/7*m**2 = 0.
-1, 0
Suppose -c - 140 = x, 3*c = 4*x - 0*c + 532. Let d be x/(-42) + (-3)/(-7). Determine h so that 2/3 + 4/3*h**3 - d*h**2 + 5/3*h = 0.
-1/4, 1, 2
Let a(y) be the second derivative of y**7/168 - y**5/80 - 12*y. Factor a(j).
j**3*(j - 1)*(j + 1)/4
Let d(j) be the second derivative of 1/12*j**4 + j + 2*j**2 + 0 - 2/3*j**3. Factor d(m).
(m - 2)**2
Let r(g) be the first derivative of -g**6/3 - 2*g**5/5 + 3*g**4/2 + 2*g**3/3 - 2*g**2 - 47. Determine t so that r(t) = 0.
-2, -1, 0, 1
Let h = 0 + 2. Suppose -h*l + 4 = -2. Determine k so that 2*k**l + 0*k - k - k**3 = 0.
-1, 0, 1
Let i(f) be the first derivative of f**8/5040 + f**7/630 + f**6/270 - 7*f**3/3 - 3. Let c(n) be the third derivative of i(n). Factor c(l).
l**2*(l + 2)**2/3
Let k(x) be the third derivative of x**8/504 - 8*x**7/945 + 7*x**6/540 - x**5/135 + 4*x**2. Let k(w) = 0. Calculate w.
0, 2/3, 1
Let o(c) = 9*c**2 - 2*c + 7. Let n(p) = -5*p**2 + p - 4. Let j(i) = i + 1. Suppose -3*q = -0*q - 9. Let l be j(q). Let m(a) = l*o(a) + 7*n(a). Factor m(d).
d*(d - 1)
Let c(s) be the third derivative of 0 - 1/12*s**4 - 1/3*s**3 + s**2 + 0*s + 1/30*s**5 + 1/60*s**6. Factor c(g).
2*(g - 1)*(g + 1)**2
Let r be 4 + -5 - (-8)/(-2). Let l(b) = -b**2. Let s(u) = -2*u**3 + 3*u**2 + 4*u. Let g(t) = r*l(t) - s(t). Determine y, given that g(y) = 0.
-2, 0, 1
Let o = -4 + 3. Let v(q) = -q**3 - q + 1. Let c(n) = -2 - 104*n**2 - 2 + 92*n**2 + 3*n - n**3. Let s(l) = o*c(l) - 6*v(l). Suppose s(p) = 0. What is p?
-1, 2/7
Let g(x) be the first derivative of 0*x**3 + 0*x**4 + 0*x**2 + 2*x + 1/10*x**6 + 0*x**5 - 3. Let s(n) be the first derivative of g(n). Factor s(t).
3*t**4
Let b be 10*3/15*-2. Let n be (-21)/(-12)*b/(-2). Factor 2*g**3 - 1/2 + n*g**2 + g.
(g + 1)**2*(4*g - 1)/2
Let g(o) be the first derivative of 1/15*o**5 + 0*o**2 - 1/9*o**3 + 0*o - 3 - 1/18*o**6 + 1/12*o**4. Determine q, given that g(q) = 0.
-1, 0, 1
Let y(n) be the first derivative of -10*n**6/3 + 12*n**5/5 + 2*n**4 - 9. Factor y(x).
-4*x**3*(x - 1)*(5*x + 2)
Suppose 0 = -3*x + 8*x - q - 23, -5*x + 17 = q. Let -2*w**3 + w**3 - w**x - 4*w**3 + 3*w**3 = 0. Calculate w.
-2, 0
Let k be ((-2)/(-6))/(3/477). Let h = 9 + k. Suppose -152*b + 16 + h*b**2 - 490*b**3 + 173*b**2 + 241*b**2 = 0. What is b?
2/7, 2/5
Factor 0 + 2/5*u**2 - 3/5*u + 1/5*u**3.
u*(u - 1)*(u + 3)/5
Let t be 32/14 - 10/35. Factor s**3 - 6*s**2 + 2 + 5*s**t + s**3 - 2*s + 4*s**4 - 5*s**2.
2*(s - 1)*(s + 1)**2*(2*s - 1)
Let o(h) be the third derivative of h**8/1512 - 4*h**7/945 + h**6/108 - h**5/135 - 4*h**2. What is c in o(c) = 0?
0, 1, 2
Let h(r) = -r. Let q(a) = a**2 + 4*a - 3. Let i(m) = -2*h(m) - q(m). Suppose i(b) = 0. Calculate b.
-3, 1
Let m(s) = 14*s**4 - 14*s**3 + 12. Let d(g) = -g**4 + g**3 - 1. Let k be ((-8)/(-20))/(3/(-90)). Let r(n) = k*d(n) - m(n). Determine b so that r(b) = 0.
0, 1
Let n be (42/(-4))/((-3)/4). Determine r so that 0 - 4*r**4 - 1/2*r**2 + n*r**5 - 21/2*r**3 + r = 0.
-1/2, 0, 2/7, 1
Let i(m) be the third derivative of m**8/23520 + m**7/2940 - m**5/105 - m**4/8 + 2*m**2. Let y(u) be the second derivative of i(u). Factor y(p).
2*(p - 1)*(p + 2)**2/7
Let p(w) be the second derivative of 1/30*w**3 + 2*w + 1/5*w**2 - 1/60*w**4 + 0. Find n, given that p(n) = 0.
-1, 2
Let i(a) = 11*a**2 - 16*a - 127. Let q(n) = -31*n**2 + 49*n + 380. Let s(d) = 17*i(d) + 6*q(d). Factor s(o).
(o + 11)**2
Let 1/4*y - 1/8*y**2 + 0 - 1/8*y**3 = 0. What is y?
-2, 0, 1
Let v(t) be the third derivative of t**8/1008 + t**7/126 - t**6/60 - 32*t**2. Factor v(j).
j**3*(j - 1)*(j + 6)/3
Let d be 2 - (-1 - 0)*-4. Let n = 2 + d. Determine m, given that 0*m**2 + 3*m**5 + n*m**4 + 2*m**4 - 3*m**3 - 2*m**2 = 0.
-1, -2/3, 0, 1
Let s(x) be the second derivative of x**9/45360 - x**8/10080 + x**7/7560 - x**4/12 + 3*x. Let y(q) be the third derivative of s(q). Factor y(p).
p**2*(p - 1)**2/3
Let k be ((-6)/(-21))/((-3)/(-7)). Suppose -2/3*c - k*c**2 + 0 = 0. What is c?
-1, 0
Let b(r) = r + 8. Let c = -3 - 3. Let a be b(c). Solve 3*i**3 + 0*i**3 + i**a - 2*i**3 - i**4 + 0*i**4 - i = 0.
-1, 0, 1
Let i = 120 - 118. Let d(p) be the second derivative of 0 - 1/12*p**4 - 4*p - 1/90*p**6 + 0*p**i + 1/20*p**5 + 1/18*p**3. Suppose d(x) = 0. Calculate x.
0, 1
Let d(h) = -2*h - 14. Let u be d(-7). Factor 1/5*g**2 + u - 1/5*g**4 - 1/5*g + 1/5*g**3.
-g*(g - 1)**2*(g + 1)/5
Suppose -2*t + 47 = -2*w + 5, 3*t - 53 = w. Let d = t - 8. Factor -29*r**3 - 7*r**2 + d + 77*r**2 - 44*r + 4*r**3.
-(r - 2)*(5*r - 2)**2
Let l(i) = i + 5. Let h be l(4). Let u be (6/4)/(h/12). Suppose 