*g**3/7 + 6*g**2 - 3. Suppose l(p) = 0. What is p?
6
Let r be ((-1467)/120)/((-6)/(-4)). Let a = r - -42/5. Determine v so that 1/4*v**4 + 0*v + 0 - a*v**3 + 0*v**2 = 0.
0, 1
Let y be 1/(5/755*(-1 - 0)). Let f = 154 + y. Find b, given that -7/6*b**2 - 1/3*b**4 + 7/6*b**f + 1/3*b + 0 = 0.
0, 1/2, 1, 2
Let v(t) = 29*t**2 - 2045*t - 173400. Let p(s) = -105*s**2 + 7158*s + 606900. Let y(c) = -5*p(c) - 18*v(c). Solve y(d) = 0.
-170
Let v(o) be the third derivative of o**7/420 + o**6/240 - o**5/24 + o**4/16 + 2*o**2 + 13*o. Factor v(m).
m*(m - 1)**2*(m + 3)/2
Let r(u) be the first derivative of u**5/20 - u**4/48 - 5*u**3/12 + 7*u**2/8 + 3*u - 3. Let m(s) be the first derivative of r(s). Factor m(w).
(w - 1)**2*(4*w + 7)/4
Let j(p) be the first derivative of 4*p**3/9 - p**2/12 - 3*p/2 - 465. Determine u, given that j(u) = 0.
-1, 9/8
Factor -3*p**3 + 0*p**3 + 7 + p**3 + 4*p**2 + 57 - 64*p + 16*p**2.
-2*(p - 4)**2*(p - 2)
Suppose 18*b - 12*b - 10*b**4 + 20*b**3 + b**5 - 6*b + 40*b**2 - 6*b**5 = 0. What is b?
-2, 0, 2
Let k(g) = -320*g**3 - 2905*g**2 + 4280*g - 795. Let z(y) = 29*y**3 + 264*y**2 - 389*y + 72. Let v(w) = 6*k(w) + 65*z(w). Find b, given that v(b) = 0.
-9, 2/7, 1
Let c(h) = 2*h**3 - 12*h**2 - 5*h. Let s(m) = -m**3 + 5*m**2 + 3*m. Let x(z) = 3*c(z) + 7*s(z). Determine t, given that x(t) = 0.
-3, 0, 2
Suppose -13*o = y - 16*o + 10, -5*y - o + 14 = 0. Let f(i) be the first derivative of 1/9*i**y + 1/6*i**4 - 2 + 8/27*i**3 + 0*i. Factor f(w).
2*w*(w + 1)*(3*w + 1)/9
Let 5764/7*v**2 + 312/7*v**3 + 4/7*v**4 - 12480/7*v + 6400/7 = 0. Calculate v.
-40, 1
Suppose 0 = 2*y + 5*x - 861, -3*x - 560 - 1123 = -4*y. Factor -7*o**3 - 10*o - 18*o**3 + y*o**2 - 458*o**2 - 1 - o.
-(o + 1)*(5*o + 1)**2
Let x(r) = 6*r**3 - r + 1. Let g be x(1). Find m, given that -4*m**2 - 27*m + 3*m**3 - g - 21 - 4*m**3 - 5*m**2 = 0.
-3
Let h = 398453/13 + -30647. Let -h*b**2 + 294/13*b - 686/13 + 2/13*b**3 = 0. Calculate b.
7
Factor 3*p**2 + 4*p**2 + 8*p**2 + 2*p**2 - 18*p**2 - 5184 - 144*p.
-(p + 72)**2
Let q(t) = 10*t**2 + 23*t - 8. Let z(j) = -j**3 - 2*j**2 + 7*j - 7. Let v be z(-4). Let d(y) = 5*y**2 + 11*y - 4. Let k(c) = v*q(c) + 7*d(c). Factor k(l).
(l + 2)*(5*l - 2)
Let x(s) = -s**3 + s**2 - s - 1. Let r(g) = -g**5 - 9*g**4 + 12*g**3 + 26*g**2 - 49*g + 19. Let o(f) = r(f) - x(f). Factor o(m).
-(m - 1)**3*(m + 2)*(m + 10)
Suppose -13*n = -17*n + 24. Let t(z) be the first derivative of 1/9*z**3 - 1/2*z**2 + 2/3*z + n. Factor t(b).
(b - 2)*(b - 1)/3
Let l = 123700/21 + -17662/3. Let -l*f - 18/7*f**2 - 4/7 = 0. What is f?
-1, -2/9
Let a = -29 + 52. Factor -3*y**4 + 0*y**2 + 20*y**3 + 6*y**2 - a*y**3 + 0*y**2.
-3*y**2*(y - 1)*(y + 2)
Let n = 2795 - 2792. Suppose -1/7*r**2 + 2/7*r**n + 0*r + 0 - 1/7*r**4 = 0. Calculate r.
0, 1
Let f = 7 - 7. Let i(m) be the second derivative of 6*m + 2*m**2 - 1/4*m**4 + f*m**3 + 0 + 1/20*m**5. Factor i(a).
(a - 2)**2*(a + 1)
Suppose -2*t + 9 = 1. Let f = -84 - -84. Factor f*s + 0*s**t + 1/5*s**3 + 0*s**2 + 0 - 1/5*s**5.
-s**3*(s - 1)*(s + 1)/5
Let y = 4710 - 4708. Solve 2/5*w**y + 2/5 + 4/5*w = 0 for w.
-1
Let i = 248/63 - 64/21. Let y be (12/(3 + 81))/(9/14). Factor -2/9*v**5 - y*v - i*v**4 - 4/3*v**3 + 0 - 8/9*v**2.
-2*v*(v + 1)**4/9
Suppose 5*c + 5 - 18 = -n, 2*n - c = 4. Let x = 497/5 - 99. Factor 0*d + 0*d**n + 2/5*d**2 + 0 - x*d**4.
-2*d**2*(d - 1)*(d + 1)/5
Let f(o) be the third derivative of -1/10*o**5 + 0*o + 0*o**4 + 3/40*o**6 - 1/112*o**8 + 0 + 0*o**3 + 0*o**7 + 17*o**2. Factor f(g).
-3*g**2*(g - 1)**2*(g + 2)
Let m(l) be the third derivative of l**6/660 - l**5/165 - 5*l**4/132 + 2*l**3/11 - 3*l**2 - 12. Factor m(y).
2*(y - 3)*(y - 1)*(y + 2)/11
Let x be (-13)/(-4) + -1*(-5)/(-20). Suppose 0 = 2*l - 4*t + 6, 3*l + 0*l + 5*t = 24. Factor -4*r**2 + 0*r**3 + 3*r**3 - 2*r**l - 5*r**x - r**4.
-r**2*(r + 2)**2
Let q(s) = s**2 - 18*s + 36. Let o be q(16). Let u(t) = -2*t**3 - 4*t**2 - 4*t - 3. Let b be u(-2). Factor -6*f**2 - b + 2*f**3 + 7 + o*f**2 - 2*f.
2*(f - 1)**2*(f + 1)
Let b(u) be the third derivative of 0 + 1/1344*u**8 - 1/160*u**6 - 1/420*u**7 + 1/30*u**5 - 1/24*u**4 + 0*u + 0*u**3 - 5*u**2. Factor b(h).
h*(h - 2)*(h - 1)**2*(h + 2)/4
Let j(w) = w**2 - 20*w + 46. Let k(i) = 3*i**2 - 58*i + 139. Let h(r) = 8*j(r) - 3*k(r). Suppose h(v) = 0. Calculate v.
7
Let v be (-35 + 18)/85 - (-4)/10. Let q(j) be the first derivative of 0*j - 6 + 0*j**2 - v*j**3 - 3/25*j**5 + 3/10*j**4. Factor q(u).
-3*u**2*(u - 1)**2/5
Let x(k) be the third derivative of k**8/2184 - 2*k**7/1365 + k**5/195 - k**4/156 + 32*k**2 + 2. Factor x(v).
2*v*(v - 1)**3*(v + 1)/13
Suppose -83 + 19 = -17*c - 30. Factor 500/7 - 2/7*k**4 + 26/7*k**3 - 90/7*k**c - 50/7*k.
-2*(k - 5)**3*(k + 2)/7
Let a(k) be the second derivative of k**6/1980 - k**5/132 + 5*k**3/3 - 17*k. Let b(o) be the second derivative of a(o). Determine w, given that b(w) = 0.
0, 5
Let q = 1720/6069 + 2/867. Factor -2/7*k**2 + 0*k**3 + 0*k + 0 + q*k**4.
2*k**2*(k - 1)*(k + 1)/7
Let w(b) be the second derivative of 3*b**5/80 - 5*b**4/16 - 23*b**3/4 - 15*b**2 + b + 2. Factor w(l).
3*(l - 10)*(l + 1)*(l + 4)/4
Determine r so that -592 + 580 + 3*r**2 + 0*r**2 = 0.
-2, 2
Let x(k) be the third derivative of 0*k + 2/945*k**7 + 0 + 0*k**3 + 1/540*k**6 - 2*k**2 + 0*k**4 + 0*k**5 + 1/1512*k**8. Solve x(o) = 0 for o.
-1, 0
Find t such that 3729*t**3 - 2541*t**4 + 110*t**2 - 6 + 159*t - 1110*t**2 - 341*t**2 = 0.
1/11, 2/7, 1
Let m(z) = -4*z**2 - z. Let h(i) = i**2 + 9*i + 0*i**2 + 0*i**2 - 10*i. Let g(n) = 3*h(n) + m(n). Factor g(q).
-q*(q + 4)
Let l = 2 - -7. Let q(z) = -z**3 + z**2 + z. Let j(w) = 6*w**3 - 18*w**2 - 15*w. Let n(g) = l*q(g) + j(g). Let n(y) = 0. What is y?
-2, -1, 0
Let v(z) = -3 - z + 5*z - 14*z - 2*z + 5*z**2. Let d(t) = 65*t**2 - 155*t - 40. Let x(i) = 3*d(i) - 40*v(i). Suppose x(p) = 0. Calculate p.
0, 3
Let h(r) = -r**2 + 2*r + 5. Let g be h(6). Let c be 3/(3/4) + g/19. Determine m, given that -6/5*m**c + 0 + 2/5*m - 4/5*m**2 = 0.
-1, 0, 1/3
What is t in 882 - 420*t - 3/2*t**3 + 93/2*t**2 = 0?
3, 14
Suppose -t + 5*l + 29 = -0*t, l + 5 = 0. Find b such that -7*b + 5*b**3 + t*b + 15*b**2 + 3*b = 0.
-3, 0
Let q(h) be the second derivative of 2*h**7/105 - h**6/15 + h**5/15 - h**2/2 - h. Let j(w) be the first derivative of q(w). Factor j(p).
4*p**2*(p - 1)**2
Solve 49*r + 11*r + 30*r + 3*r**2 - 12*r + 75*r = 0 for r.
-51, 0
Let k(s) be the second derivative of -s**7/420 - s**6/60 + s**4/3 + 5*s**3/3 - 12*s. Let x(b) be the second derivative of k(b). Solve x(y) = 0 for y.
-2, 1
Let x be ((-91)/28)/(-13) + (-6)/(-16). Let h(o) be the third derivative of 0 + 0*o + 1/12*o**5 - x*o**4 + 5/3*o**3 - 4*o**2. Factor h(i).
5*(i - 2)*(i - 1)
Let b be 0 + 4 - -4 - (2 + 2). Let 0 - 1/3*q**b + 1/3*q + q**3 - q**2 = 0. Calculate q.
0, 1
Factor 47524/5 + 4/5*c**2 + 872/5*c.
4*(c + 109)**2/5
Let g be (2086/(-21))/(3 - 15884/(-60)). Let f = 1/251 - g. Factor 3/8*h**4 + 3/4 - f*h + 3/8*h**3 - 9/8*h**2.
3*(h - 1)**2*(h + 1)*(h + 2)/8
Let u = -10095 + 10095. Let u + 2/7*m**4 - 1/7*m - 2/7*m**2 + 0*m**3 + 1/7*m**5 = 0. What is m?
-1, 0, 1
Suppose -720*m - 149*m**2 + 162*m**3 - 8*m**4 + 56*m**2 + m**4 - 108 + 46*m**4 = 0. Calculate m.
-3, -2/13, 2
Let j(x) = 3*x**2 - 1. Let f be j(-1). Let t(y) be the first derivative of 2 + 5/4*y**4 + f*y - 5/2*y**2 - 2/3*y**3. Determine w, given that t(w) = 0.
-1, 2/5, 1
Let r(y) be the first derivative of -6*y**5/25 + 24*y**4/5 + 127. Factor r(m).
-6*m**3*(m - 16)/5
Let j(v) be the third derivative of -v**6/540 + v**5/30 - 2*v**4/9 - 7*v**3/3 + 18*v**2. Let k(y) be the first derivative of j(y). Factor k(q).
-2*(q - 4)*(q - 2)/3
Factor -68/9 + 23/3*o - 1/9*o**2.
-(o - 68)*(o - 1)/9
Suppose 3*d - 13 = -d + f, -2*d - 3*f + 3 = 0. Let l be ((2 - d)/1 - -1) + 0. Find o, given that 0 - 2/5*o**3 + l*o + 4/5*o**2 = 0.
0, 2
Let j(c) = 72*c + 648. Let r be j(-9). Factor 12/7*v**2 + r*v**3 + 6/7 - 2/7*v**4 - 16/7*v.
-2*(v - 1)**3*(v + 3)/7
What is l in 9*l + 13*l**2 + 3*l - 3*l + l = 0?
-10/13, 0
Let r(a) be the third derivative of -28*a**6/5 - 37*a**5/6 - 41*a**4/21 + 4*a**3/21 + 326*a**2. Factor r(u).
-2*(7*u + 2)**2*(48*u - 1)/7
Let t(s) = 30*s - 717. Let n be t(24). Suppose -2/15*a + 2/15*a**n + 4/15*a**2 - 4/15 = 0. What is a?
-2, -1, 1
Let q(c) = c**3 - 4*c**2 - 19*c + 66. Let w be 