= 0?
186
Let p = -204 - -207. Let r(c) be the first derivative of 4/3*c**2 - 2 - 10/9*c**p - 2/3*c + 1/3*c**4. Factor r(h).
2*(h - 1)**2*(2*h - 1)/3
Let w = -30 - -30. Factor -d**5 - d**3 + w*d**5 + 4*d**3 - 2*d**3.
-d**3*(d - 1)*(d + 1)
What is u in 10/11 - 7/11*u**2 - 3*u = 0?
-5, 2/7
Let r(g) be the first derivative of -4/5*g - 1/3*g**3 - 1 + 1/20*g**4 + 4/5*g**2. Suppose r(a) = 0. Calculate a.
1, 2
Determine k so that -2/5*k**4 + 0*k - 62/5*k**3 + 0 + 64/5*k**2 = 0.
-32, 0, 1
Let p(w) = 11*w**3 - 2*w**2 - 13*w - 12. Let y(s) = -2*s**3 + s**2 + 2*s + 1. Let q(u) = -p(u) - 6*y(u). Factor q(n).
(n - 3)*(n - 2)*(n + 1)
What is q in -6/7 - 3/7*q**4 + 3*q**2 + 6/7*q**5 + 3/7*q - 3*q**3 = 0?
-2, -1/2, 1
Let j(t) be the third derivative of -t**8/546 + 3*t**7/455 + t**6/390 - 3*t**5/130 + t**4/78 - 70*t**2. Find a such that j(a) = 0.
-1, 0, 1/4, 1, 2
Let a(d) = -3*d + 7 - d + 3*d. Let b be a(4). Determine m so that 11*m**5 - 1 - 2 - 5*m**5 + 48*m**b + 8*m - 42*m**2 - 27*m**4 + 10*m = 0.
1/2, 1
Let 10*f + 3*f**3 - 5*f**3 - 2*f**2 - 8*f + 5 - 3 = 0. What is f?
-1, 1
Let s(l) = 14*l**2 + 392*l + 6936. Let z(c) = -5*c**2 - 130*c - 2312. Let x(u) = 3*s(u) + 8*z(u). Factor x(t).
2*(t + 34)**2
Let -4/9*r + 2/3*r**3 + 0 - 4/9*r**4 + 2/3*r**2 = 0. Calculate r.
-1, 0, 1/2, 2
Let i(p) be the second derivative of -6*p**5/5 + 3*p**4 - 9*p**3/4 + 3*p**2/4 + 21*p. Factor i(q).
-3*(q - 1)*(4*q - 1)**2/2
Suppose 0 = -t + 5*s - 5, -4*t + 34 = s + 33. Let -6/5*i**3 + 2/5*i**4 + 0*i + 0*i**2 + t = 0. What is i?
0, 3
Let p(z) be the first derivative of -4*z**3/27 + 4*z**2/3 - 32*z/9 + 19. Factor p(v).
-4*(v - 4)*(v - 2)/9
Let b be ((-1)/(-21))/(17 - -3). Let u(l) be the third derivative of 0 - 1/28*l**4 + 0*l + 2*l**2 + 0*l**5 - 2/21*l**3 + b*l**6. What is i in u(i) = 0?
-1, 2
Let z be (90/(-32) + 3)*18/27. Let h(b) be the second derivative of -3/8*b**2 + 0 - z*b**4 - 1/56*b**7 + 3/8*b**3 - 3/40*b**5 + 2*b + 3/40*b**6. Factor h(p).
-3*(p - 1)**4*(p + 1)/4
Let j(y) = 2*y**3 + 27*y**2 - 49*y - 57. Let s be j(-15). Factor -1/2*v**s - 1/2*v**4 + 0 + 2*v**2 + 2*v.
-v*(v - 2)*(v + 1)*(v + 2)/2
Let q be (-3)/(84/(-34)) + (-48)/(-168). What is w in -q*w**2 + 2*w - 2/3 = 0?
2/3
Factor 3*n**2 + 0*n**2 + 106 - 102*n + 355 + 406.
3*(n - 17)**2
Let g(n) be the first derivative of -12*n**5/5 + 117*n**4/4 - 98*n**3 + 135*n**2/2 + 54*n - 321. Determine f so that g(f) = 0.
-1/4, 1, 3, 6
Let l(c) be the third derivative of c**11/221760 - c**9/20160 + c**7/3360 + c**5/6 + 8*c**2. Let d(z) be the third derivative of l(z). Factor d(v).
3*v*(v - 1)**2*(v + 1)**2/2
Let t = -65 + 62. Let u(b) = b**2 + 7*b + 6. Let s(o) = 2*o**2 + 13*o + 11. Let j(a) = t*s(a) + 5*u(a). Solve j(p) = 0 for p.
-3, -1
Let i(a) be the first derivative of 39*a**5/50 - 119*a**4/40 + a**3/5 + 39*a**2/5 - 4*a/5 - 189. Let i(j) = 0. Calculate j.
-1, 2/39, 2
Let o(p) be the second derivative of p**7/63 - 2*p**6/15 + 7*p**5/30 + p**4/3 - 8*p**3/9 + 232*p. Suppose o(w) = 0. What is w?
-1, 0, 1, 2, 4
Suppose -4*p = 5*g + 12, 4*g + 142*p - 3 = 143*p. Let z(u) be the second derivative of -1/24*u**3 - 3/8*u**2 + 1/16*u**4 + 1/80*u**5 - 3*u + g. Factor z(w).
(w - 1)*(w + 1)*(w + 3)/4
Let g(k) be the first derivative of 2*k**3/3 + 538*k**2 + 144722*k - 342. Determine i, given that g(i) = 0.
-269
Let z = -836/3 + 279. Let y(u) be the first derivative of -5 - u + 0*u**2 + z*u**3. Determine a so that y(a) = 0.
-1, 1
Let h(r) = 65*r**3 - 55*r**2 + 40*r - 50. Let c(s) = s - s**2 + 30*s - 1 - 31*s + 2*s**3. Let u(b) = -30*c(b) + h(b). Factor u(t).
5*(t - 2)**2*(t - 1)
Suppose -9*i + 10*i = -4*y + 13, -4*i + 4 = 0. Suppose 4/15 - 2/5*o + 2/15*o**y + 0*o**2 = 0. What is o?
-2, 1
Solve -20/9*i**2 - 8/3 - 46/9*i + 2/9*i**3 = 0 for i.
-1, 12
Factor 4*c**2 - 32*c - 23*c - 288 - 33*c + c + 3*c.
4*(c - 24)*(c + 3)
Factor 5/4*b**5 - 5/2*b**3 + 0*b + 0*b**2 + 23/4*b**4 + 0.
b**3*(b + 5)*(5*b - 2)/4
Determine h, given that 11/3*h - 11/3*h**3 + 4/3*h**4 - 7/3*h**2 + 1 = 0.
-1, -1/4, 1, 3
Let g(j) be the third derivative of -j**7/11340 + j**5/540 - j**4/24 - 3*j**2. Let a(l) be the second derivative of g(l). Factor a(s).
-2*(s - 1)*(s + 1)/9
Let o = -9625/18 + 535. Let x(f) be the first derivative of 4/27*f**3 + o*f**4 - 2 - 4/9*f - 5/9*f**2. Factor x(t).
2*(t - 1)*(t + 1)*(5*t + 2)/9
Let t(z) = -z**3. Let d(f) = -4*f**3 - 28*f**2 - 100*f - 96. Let l(a) = d(a) - 3*t(a). Solve l(g) = 0 for g.
-24, -2
Let w = 2333/120 - 97/5. Let s(t) be the third derivative of t**2 + 1/210*t**7 - 1/40*t**6 + 1/20*t**5 + 0*t + 0 - w*t**4 + 0*t**3. Factor s(r).
r*(r - 1)**3
Let t = -34953/77 - -4998/11. Suppose 0 + 0*m - 3/7*m**2 - t*m**3 = 0. What is m?
-1, 0
Let z = -513 + 1541/3. Let v(y) be the first derivative of -z*y**4 + 5 + 2/3*y**2 - 8/9*y**3 + 4/3*y + 4/15*y**5 + 2/9*y**6. Determine m, given that v(m) = 0.
-1, 1
Let b(d) be the first derivative of -d**3/5 + 81*d**2/5 - 2187*d/5 - 2. Factor b(c).
-3*(c - 27)**2/5
Let x(q) be the third derivative of -q**7/1260 + q**6/180 - q**5/60 + q**4/3 + 9*q**2. Let k(i) be the second derivative of x(i). Factor k(a).
-2*(a - 1)**2
Let t(a) be the first derivative of 13*a**6/12 + 47*a**5 + 3195*a**4/4 + 6480*a**3 + 91125*a**2/4 + 6561*a + 129. Let t(y) = 0. What is y?
-9, -2/13
Let x(f) be the first derivative of 4*f + 3/2*f**2 + 48 + 2*f**5 - 3/4*f**4 - 14/3*f**3. Determine t, given that x(t) = 0.
-1, -1/2, 4/5, 1
Let d(c) = 2*c**2 - 28*c - 6. Let w(y) = -12*y**2 + 139*y + 33. Let g(h) = 11*d(h) + 2*w(h). Factor g(b).
-2*b*(b + 15)
Let n = 6971/5 + -1393. Determine q, given that 3/5*q**4 + 3/5*q**2 + n*q**3 + 0 + 0*q = 0.
-1, 0
Let 4*d**4 - 92*d + 659 - 699 - 4*d**5 - 40*d**2 + 32*d**3 + 12*d**4 = 0. Calculate d.
-1, 2, 5
Suppose -4*f - 232 = 3*v, -3*f + 4*f - 2*v = -47. Let x = f - -58. Factor 0 - 1/3*t - t**2 - 1/3*t**4 - t**x.
-t*(t + 1)**3/3
Factor -85484 - 88*v - 2*v**3 + 85484 + 30*v**2.
-2*v*(v - 11)*(v - 4)
Let i(a) = a**2 - 14*a + 6. Let m(j) = -6*j**2 + 77*j - 31. Let o(n) = -11*i(n) - 2*m(n). Factor o(f).
(f - 2)*(f + 2)
Let m(k) be the second derivative of 9/40*k**5 + 0*k**2 - 1/20*k**6 - 14*k + 5/8*k**4 + 1/2*k**3 + 0 - 1/28*k**7. Let m(h) = 0. Calculate h.
-1, 0, 2
Suppose -1354*x = -1343*x - 33. Let t(m) be the first derivative of 5 + 1/3*m**2 + 0*m - 2/9*m**x. Factor t(j).
-2*j*(j - 1)/3
Let t = -94226/133 - -4960/7. Factor 6/19*p + t*p**3 + 0 + 8/19*p**2.
2*p*(p + 1)*(p + 3)/19
Find v such that 36*v**3 + 333*v**2 + 289 + 327*v + 3*v**4 - 181 + 80*v**3 + v**3 = 0.
-36, -1
Let v(w) be the second derivative of w**7/6 - 4*w**6/3 + 79*w**5/20 - 29*w**4/6 + 2*w**3/3 + 4*w**2 - w - 1. Let v(z) = 0. What is z?
-2/7, 1, 2
Let o be (-4 - -4)/(0 - -1). Suppose o = 7*l - 12*l. Factor 3 + l - 2*y**2 + 1 + 2*y.
-2*(y - 2)*(y + 1)
Let d(s) be the third derivative of s**5/140 - 37*s**4/56 + 152*s**2. Factor d(o).
3*o*(o - 37)/7
Suppose 4*t - 4 = -4*m, 0*t + 4*m - 4 = 2*t. Let p(b) be the second derivative of 0*b**4 + 2/17*b**2 - 10*b + 1/17*b**3 + t - 1/170*b**5. Factor p(w).
-2*(w - 2)*(w + 1)**2/17
Let b(w) be the first derivative of -8*w**4/11 - 1328*w**3/33 + 335*w**2/11 - 84*w/11 + 534. Solve b(u) = 0.
-42, 1/4
Let l = 24 + -9. Let g be 75/l*(-4)/(-5). Determine h, given that g*h - 3*h + 4*h**3 - 8*h**2 + 3*h = 0.
0, 1
Let h be ((-26)/91 - (-6)/14)/((-48)/(-56)). Suppose -1/6*i - h*i**2 + 1/3 = 0. Calculate i.
-2, 1
Suppose -13*h = 18*h - 8*h. Let y(a) be the second derivative of -1/10*a**4 - 1/50*a**5 - 1/5*a**2 + h - 1/5*a**3 + a. Find s such that y(s) = 0.
-1
Let z = 551 + -548. Let v(f) be the second derivative of -1/2*f**4 - 3/4*f**5 + 7*f + 3*f**2 + 5/2*f**z + 0. Factor v(x).
-3*(x - 1)*(x + 1)*(5*x + 2)
Let a(b) be the first derivative of 2*b**6/3 + 12*b**5/5 + b**4 - 4*b**3 - 4*b**2 - 96. Find n, given that a(n) = 0.
-2, -1, 0, 1
Factor 33*s**4 + 30*s**2 + 37668*s**5 + 7*s**4 + 65*s**3 - 37663*s**5.
5*s**2*(s + 1)**2*(s + 6)
Let v(u) be the second derivative of -u**7/112 - 7*u**6/80 - 3*u**5/16 + 9*u**4/16 + 27*u**3/16 - 81*u**2/16 + 4*u + 7. Determine f, given that v(f) = 0.
-3, 1
Let r(d) = -d**4 + d**2 + d + 1. Let f(p) = 8*p**4 + 12*p**3 + 10*p**2 - 18*p - 24. Let c(q) = -2*f(q) - 12*r(q). What is a in c(a) = 0?
-3, -1, 1
Let j(l) be the first derivative of -1/2*l**3 + l**2 + 13 - 1/2*l**4 - 1/10*l*