**3 + 38*u**5 + 118*u**2 + 80 + 11*u**5 - 4*u**5 = 0.
-1, -2/3, 2
Let g(b) be the third derivative of -b**7/1365 - b**6/780 + b**5/130 + b**4/156 - 2*b**3/39 - 9*b**2. Solve g(u) = 0 for u.
-2, -1, 1
Let o(k) = k - 9. Let y be o(10). Let t(q) = q**3 + q**2 + q - 1. Let v be t(y). Factor -9/2*d**v + 0 + 3/2*d + 9/2*d**3 - 3/2*d**4.
-3*d*(d - 1)**3/2
Suppose -5*t = 4*a + 1, -8*t + 7*t + 2*a + 11 = 0. Let p(n) be the first derivative of -t - 3/2*n**2 + n - 1/4*n**4 + n**3. Factor p(h).
-(h - 1)**3
Let h = 392 - 1954/5. Factor 0 + h*j**4 + 2/5*j**5 + 2/5*j**2 + 0*j + 6/5*j**3.
2*j**2*(j + 1)**3/5
Let p = 400/309 + 4/103. Solve 8/3 + p*l - 4/3*l**2 = 0.
-1, 2
Suppose 1/3 - 1/6*d - 1/6*d**2 = 0. What is d?
-2, 1
Suppose 0 = 2*t - 2 + 6. Let h be 1 + 8/6 + t. Let -1/3*q**3 + 0 + h*q + 0*q**2 = 0. Calculate q.
-1, 0, 1
Suppose -3*i + 52 = 46. Factor -2/5*b**i - 4/5*b**3 + 0*b - 2/5*b**4 + 0.
-2*b**2*(b + 1)**2/5
Let o(n) = 7*n**2 - 1. Let a be o(-1). Let j be ((-8)/12)/((-2)/a). Determine q, given that -1 - 2 + 5 - 2*q**j = 0.
-1, 1
Let h(b) be the third derivative of -7*b**6/24 - 4*b**5/3 - 55*b**4/24 - 5*b**3/3 - 14*b**2. Factor h(v).
-5*(v + 1)**2*(7*v + 2)
Solve -3/5*c**2 - 6/5*c + 9/5 = 0 for c.
-3, 1
Suppose -2*t - 10 = 5*c, -5*c - 5 = -2*t + 5. Let l(q) be the first derivative of 0*q**2 - 1 - 1/5*q**5 - q + 2/3*q**3 + t*q**4. Factor l(g).
-(g - 1)**2*(g + 1)**2
Let u(f) be the third derivative of f**6/40 - 3*f**5/10 - f**2 - 10*f. Factor u(w).
3*w**2*(w - 6)
Let b(l) = -l**2 + 3. Let t be b(3). Let c = -2 - t. Factor -1/5*s**c + 2/5*s**2 + 0*s + 0*s**3 - 1/5.
-(s - 1)**2*(s + 1)**2/5
Let k(z) be the third derivative of -z**6/30 + z**5/5 + z**4/6 - 2*z**3 + 7*z**2. Factor k(p).
-4*(p - 3)*(p - 1)*(p + 1)
Let g(p) be the third derivative of 1/8*p**4 + 1/20*p**5 + 0*p + 0 + 0*p**3 - p**2. Factor g(q).
3*q*(q + 1)
Solve 9*n**3 - 5*n**3 - 3*n**4 - 3*n**5 - n**3 + 3*n**2 = 0.
-1, 0, 1
Let w(a) be the third derivative of a**8/560 - a**6/120 + a**3 + 2*a**2. Let r(o) be the first derivative of w(o). What is q in r(q) = 0?
-1, 0, 1
Let h = 13/6 - 3/2. Factor 0 - h*o - o**2 - 1/3*o**3.
-o*(o + 1)*(o + 2)/3
Let k(o) be the first derivative of 2*o**3/39 + 5*o**2/13 + 8*o/13 + 41. Factor k(t).
2*(t + 1)*(t + 4)/13
Suppose -d = -2*x - 5*d, -4*x - 2*d + 6 = 0. Factor 4/5*i**x - 4/5 + 2/5*i - 2/5*i**3.
-2*(i - 2)*(i - 1)*(i + 1)/5
Let i(x) = 116*x**4 + 256*x**3 + 196*x**2 + 56*x - 16. Let m(u) = 23*u**4 + 51*u**3 + 39*u**2 + 11*u - 3. Let c(w) = -3*i(w) + 16*m(w). Factor c(l).
4*l*(l + 1)**2*(5*l + 2)
Let c(s) = 6*s**4 + 12*s**3 + 4*s**2 + 2*s. Let z(j) = -j**5 - j**4 + j**3 + j. Let f(m) = c(m) - 2*z(m). Suppose f(k) = 0. What is k?
-2, -1, 0
Let g(f) be the third derivative of -f**6/120 - f**5/60 + f**4/24 + f**3/6 + 17*f**2. Find y, given that g(y) = 0.
-1, 1
Suppose 10/9*v**3 + 2/9*v**2 + 4/3*v**4 + 0 + 0*v = 0. What is v?
-1/2, -1/3, 0
Let t = -10/51 + -2377/102. Let k = -23 - t. Determine l, given that -1/2*l**2 - k*l + l**3 + 0 = 0.
-1/2, 0, 1
Let k(y) be the first derivative of y**5/270 - y**4/108 + y**2/2 + 4. Let r(o) be the second derivative of k(o). Suppose r(d) = 0. Calculate d.
0, 1
Factor -6*u**2 + 4/3 - 10/3*u**4 - 26/3*u**3 + 2/3*u.
-2*(u + 1)**3*(5*u - 2)/3
Let n(o) be the first derivative of 3*o**4/16 + 13*o**3/12 + 2*o**2 + o - 1. Factor n(s).
(s + 2)**2*(3*s + 1)/4
Factor -29*o + 86*o**2 - 11*o + 5*o**4 - 30*o**3 - 26*o**2.
5*o*(o - 2)**3
Let b(t) be the third derivative of -t**6/660 + 2*t**5/55 - 15*t**4/44 + 50*t**3/33 + t**2 - 12. Factor b(l).
-2*(l - 5)**2*(l - 2)/11
Solve -16/7*f**3 + 0 - 2/7*f**2 - 10/7*f**4 + 4/7*f = 0.
-1, 0, 2/5
Let b = -3 + 5. Suppose c**2 + 3*c**b + 2*c + 3*c**2 = 0. Calculate c.
-2/7, 0
Factor -5*g**3 + 20 - 13*g**2 + 3*g**2 - 4*g**2 - g**2.
-5*(g - 1)*(g + 2)**2
Suppose 5*v + 3 = 6*v. Suppose 0 + 1/2*c + 2*c**5 - 3/2*c**4 - 5/2*c**v + 3/2*c**2 = 0. What is c?
-1, -1/4, 0, 1
Let l be 1/2 + (0 - 0). Let j = 41 - 39. Factor 1 - 1/2*a**j - l*a.
-(a - 1)*(a + 2)/2
Suppose -2/7*y**3 + 2/7*y**4 - 12/7 - 2*y**2 + 26/7*y = 0. What is y?
-3, 1, 2
Let l(b) = -b**3 + b**2 - b + 1. Let u(v) = v**3 + 11*v**2 + 7*v + 5. Suppose 3*i = -2*r, -2 = 5*i - r - 15. Let w(f) = i*l(f) - u(f). Solve w(d) = 0 for d.
-1
Let t(b) be the third derivative of 0 - 1/4*b**4 + 3/20*b**5 + 0*b - 6*b**2 + 1/6*b**3. Factor t(r).
(3*r - 1)**2
Let a(v) be the first derivative of -v**6/600 - v**5/150 - v**4/120 - v**2/2 + 4. Let t(q) be the second derivative of a(q). Factor t(z).
-z*(z + 1)**2/5
Let y(o) be the third derivative of o**8/60480 + o**7/15120 + o**5/15 - o**2. Let p(r) be the third derivative of y(r). Factor p(f).
f*(f + 1)/3
Let a(c) = c**2 - 6*c - 7. Let x be a(8). Suppose x + 1 = 5*g. Factor 0*b**2 - 2*b**3 + 2*b + 3*b**g - 3*b**2.
-2*b*(b - 1)*(b + 1)
Let q(c) be the third derivative of -c**8/672 - c**7/140 + c**6/240 + c**5/40 + 15*c**2. Solve q(o) = 0 for o.
-3, -1, 0, 1
Factor -248*f + 27*f**2 - 152*f + 25*f**4 - 227*f**2 + 5*f**5 - 240.
5*(f - 3)*(f + 2)**4
Let k = 27 + -161/6. Determine b so that -1/3*b + k + 1/6*b**2 = 0.
1
Let k = -33 - -7. Let q be k/(-36) - 18/81. Factor 0 - 1/2*c**2 - q*c.
-c*(c + 1)/2
Determine a, given that -8/5 - 16/5*a - 2*a**2 - 2/5*a**3 = 0.
-2, -1
Let o = -74 + 224/3. Solve -4/3 + 2*d - o*d**2 = 0 for d.
1, 2
Let i(c) = -5*c - 5. Let a(f) = 3*f + 3. Let g(o) = 8*a(o) + 5*i(o). Let d be g(-3). Suppose 4*u**2 - d*u**2 - u + 3*u = 0. Calculate u.
-1, 0
Let l = -1052/5 - -211. Factor -l*u**2 + 3/5*u + 0.
-3*u*(u - 1)/5
Let n(k) be the second derivative of -2*k + 0 - 3/80*k**5 + 0*k**2 - 1/40*k**6 + 0*k**3 - 1/168*k**7 - 1/48*k**4. Factor n(a).
-a**2*(a + 1)**3/4
Let l(j) be the first derivative of -1 + 1/10*j**5 + 0*j**3 - 1/6*j**4 + j + 0*j**2. Let t(y) be the first derivative of l(y). Determine w, given that t(w) = 0.
0, 1
Suppose -2*z = -z + 24. Let o be ((-2)/(-12))/((-3)/z). Find a such that -o*a - 2/3 - 2/3*a**2 = 0.
-1
Factor -168*z - 2 - 3*z**2 + 2 + 162*z.
-3*z*(z + 2)
Let r(y) = 3*y**2 - 12. Let u(q) = 3*q**2 - 12. Let z(p) = -5*r(p) + 6*u(p). Factor z(f).
3*(f - 2)*(f + 2)
Let j be ((-6)/10)/(9*(-1)/10). Find g such that -2/3 + 0*g + j*g**2 = 0.
-1, 1
Let b(o) be the second derivative of 7*o**4/60 + 2*o**3/15 - 3*o**2/10 + 5*o. What is j in b(j) = 0?
-1, 3/7
Let s(l) be the third derivative of l**8/112 + l**7/70 + 3*l**2. Solve s(p) = 0.
-1, 0
Suppose 3*z - 37 = -1. Let k be (-2 + (-16)/z)/(-2). Determine b, given that 4/3*b**2 + k*b + 5/3*b**5 - 2/3 - 2/3*b**4 - 10/3*b**3 = 0.
-1, 2/5, 1
Let w(p) be the second derivative of -p**5/70 + p**4/21 + p**3/7 + 18*p. Suppose w(v) = 0. What is v?
-1, 0, 3
Determine v, given that -12*v + 1 - 6*v**3 + 3 + 2*v**4 + 0 + 13*v**2 - v**4 = 0.
1, 2
Let a(w) = w**2 + 6*w + 2. Let b(x) = 5*x**2 + 31*x + 9. Suppose 0 = -4*o - 0*o + 44. Let p(r) = o*a(r) - 2*b(r). Factor p(g).
(g + 2)**2
Let d(f) = -f**2 - 11*f + 8. Let h be d(-12). Let l be h/(24/10) + 2. Determine s, given that 0*s**4 + 1/3*s**3 + 0*s - l*s**5 + 0 + 0*s**2 = 0.
-1, 0, 1
Determine j, given that 0*j**3 + 0*j**2 + 0 - 3/2*j**4 + 0*j = 0.
0
Let h(y) be the third derivative of y**5/3 + 5*y**4/8 - 5*y**3/6 - y**2 + 7. Let h(b) = 0. Calculate b.
-1, 1/4
Let y = 2 - 0. Let 8*g**2 - g**y - 16*g + 0*g**2 + 4 = 0. What is g?
2/7, 2
Let a(r) be the second derivative of -1/252*r**7 - 1/40*r**5 + 0 + 1/60*r**6 + 0*r**2 + 1/72*r**4 + 0*r**3 + 4*r. Factor a(c).
-c**2*(c - 1)**3/6
Let d(k) = -3*k + 3. Let p be d(0). Let q(r) be the second derivative of 1/78*r**4 + 2/39*r**3 + p*r + 0*r**2 + 0. Factor q(t).
2*t*(t + 2)/13
Suppose 23*n**3 + 0*n**2 + 22*n**3 - 2*n**5 - 2*n**4 + 2*n**2 - 43*n**3 = 0. What is n?
-1, 0, 1
Let n be ((-5)/(-20))/((-1)/(-4)). Suppose 5*r**2 - r**2 - 120*r + 5 - n + 112*r = 0. Calculate r.
1
Suppose 6*j - 5*j - 7 = -5*p, 0 = 5*p - 3*j - 19. Find m, given that -1/6*m**p - 1/6*m + 1/3 = 0.
-2, 1
Find g such that -6/5*g**2 - 6/5*g**3 + 0 - 2/5*g**4 - 2/5*g = 0.
-1, 0
Let q(j) be the third derivative of 4*j**2 + 0 + 0*j**3 + 1/10*j**5 + 0*j**4 - 1/40*j**6 + 0*j. Factor q(v).
-3*v**2*(v - 2)
Let v(l) be the second derivative of -l**7/98 + 3*l**5/70 - l**3/14 - 3*l. Factor v(z).
-3*z*(z - 1)**2*(z + 1)**2/7
Let w(y) be the third derivative of -y**7/140 + y**6/24 - 3*y**5/40 + y**4/24 - 20