ve of 1/21*w**4 + 0*w**5 + 5*w + 0 + z*w**3 - 2/105*w**6 + 0*w**2 - 1/147*w**7. Factor m(l).
-2*l*(l - 1)*(l + 1)**3/7
Suppose 0 = 16*n + 393 + 167. Let q be n/(-10) + 4/(-2). Factor 3/2*p**2 - q*p**3 + 0 + 3*p.
-3*p*(p - 2)*(p + 1)/2
Let w(t) be the first derivative of -10*t**6/3 - 34*t**5/5 - 29*t**4/16 + 29*t**3/12 + t**2/8 - t/4 - 285. Determine b so that w(b) = 0.
-1, -1/5, 1/4
Let o(q) = 4*q + 39. Let n be o(-8). Let u(p) be the third derivative of -1/4*p**4 + 0*p**3 + 1/70*p**n + 0*p + 0 + 1/20*p**6 - 1/20*p**5 - 4*p**2. Factor u(d).
3*d*(d - 1)*(d + 1)*(d + 2)
Let o(h) = -h**3 - 13*h**2 - 12*h + 9. Let q be o(-12). Suppose 5*j = 1 + q. Factor 2 - 2*s - s**2 + j*s + s.
-(s - 2)*(s + 1)
Let r(s) = -18*s - 106. Let n be r(-6). Factor -4/9 - 2/9*v**n + 2/3*v.
-2*(v - 2)*(v - 1)/9
Let r(w) be the first derivative of 0*w**3 + w**5 + 0*w**2 + 9 + 15/4*w**4 + 0*w. Let r(i) = 0. What is i?
-3, 0
Let u(i) be the first derivative of -99*i**4/14 - 50*i**3/7 - 17*i**2/7 - 2*i/7 + 125. Suppose u(r) = 0. Calculate r.
-1/3, -1/11
Solve -j**5 + 49*j**3 + 19*j**2 - 30*j - 78*j**3 + 8 + 22*j**2 - j**2 + 3*j**2 + 9*j**4 = 0.
1, 2, 4
Let 400/3 + 36*s**2 + 136*s + 2/3*s**3 = 0. What is s?
-50, -2
Let r(j) be the third derivative of 0 + 0*j - 5/12*j**4 + 5/2*j**3 - 15*j**2 - 1/12*j**5. Factor r(d).
-5*(d - 1)*(d + 3)
Find q, given that -10*q - 9*q + 18*q + 22*q - 3*q**2 = 0.
0, 7
Suppose -3*x = -12, -4*c + 3*c + x = 0. Let m = -2 + c. Factor -6 + 3*s**m + 0*s - 2*s + 5*s.
3*(s - 1)*(s + 2)
Suppose 225 - 222 = -5*n + 3*h, 1 = n + h. Let 4/7*p**2 + n*p + 0 + 2/7*p**3 = 0. What is p?
-2, 0
Let k be (-392)/(-154) + 48/(-88). Factor -85/2*a - 10*a**k - 10.
-5*(a + 4)*(4*a + 1)/2
Let x(i) = 64*i**2 + 122*i**3 + 53*i**4 + 8*i - 14*i + 18*i. Let c(z) = 54*z**4 + 121*z**3 + 65*z**2 + 13*z. Let h(t) = 4*c(t) - 5*x(t). Solve h(y) = 0.
-2, -2/7, 0
Suppose 2*f - 3*f - 2*q = -42, 0 = -4*f - 3*q + 173. Let z be 21/4 - 11/f. Factor -1/5*o**z - 2*o**2 - o**4 - 1/5 - o - 2*o**3.
-(o + 1)**5/5
Let f be 6/(-81)*(-19 + 16). Let f + 2/3*c**2 + 2/9*c**3 + 2/3*c = 0. What is c?
-1
Suppose 8*n + 152 = 4*n. Let p = 42 + n. Let 0*g**p + 4*g**3 + 4*g**4 + 2*g**4 + 16*g - 24*g**2 - 2*g**5 = 0. Calculate g.
-2, 0, 1, 2
Determine v so that -17*v**2 + 32*v**2 - 6*v - 168*v**3 + 162*v**3 = 0.
0, 1/2, 2
Let g(a) be the second derivative of a**9/4536 + a**8/1260 + a**7/1260 - 20*a**3/3 - 33*a. Let x(s) be the second derivative of g(s). Solve x(t) = 0 for t.
-1, 0
Let g(j) = j**3 - 15*j**2 + 3*j - 21. Let u be g(15). Suppose 3*f - 10 = -3*h + 14, u = 4*f + 2*h. Determine x so that -2 + 3*x**2 + f - 2 = 0.
0
Suppose -4*w = -10*w + 42. Let -3*o**2 + 16*o**3 + w*o - 6*o - 9*o**2 - 5*o = 0. Calculate o.
-1/4, 0, 1
Let x = 49 + -44. Let t(a) = a**3 - 6*a**2 + 6*a - 5. Let n be t(x). Factor -2*z**4 - 10/7*z**3 + 0*z + 4/7*z**2 + n.
-2*z**2*(z + 1)*(7*z - 2)/7
Suppose 6*z = 17*z - 44. Let b**3 + 0*b**4 + z*b**2 - 4*b**4 + 2*b**3 - 4*b**3 + b = 0. What is b?
-1, -1/4, 0, 1
Let l(q) be the first derivative of 216/5*q + 342/5*q**2 + 21/20*q**4 + 5 - 82/5*q**3. Factor l(f).
3*(f - 6)**2*(7*f + 2)/5
Determine s so that 0 + 12/7*s + 3/7*s**3 - 1/7*s**4 + 16/7*s**2 = 0.
-2, -1, 0, 6
Let n = -1532 - -1534. Factor 0*s + 0*s**n + 0 + 2/11*s**3.
2*s**3/11
Let a(x) be the third derivative of x**7/1785 + 19*x**6/1020 - 2*x**5/51 + 577*x**2 - x. Let a(o) = 0. What is o?
-20, 0, 1
Let r(x) = -5*x**5 - 18*x**4 - 15*x**3 + 2*x**2 - 4*x. Let u(b) = -5*b**5 - 18*b**4 - 13*b**3 + 3*b**2 - 3*b. Let z(n) = 3*r(n) - 4*u(n). Factor z(t).
t**2*(t + 1)*(t + 3)*(5*t - 2)
Let c(s) = -3*s - 3. Let k(q) = -q**2 + 1. Let y be ((-8)/(-28))/((2/14)/1). Let w(i) = y*k(i) + c(i). Determine x so that w(x) = 0.
-1, -1/2
Suppose 0 + 0*g - 2/3*g**4 + 8/3*g**3 - 2*g**2 = 0. What is g?
0, 1, 3
Let x be 2/((-16)/(-34)) + (-93)/372. Let r(l) be the second derivative of -3/4*l**5 - 2/5*l**6 + 0*l**3 + 0*l**2 - 1/2*l**x - 1/14*l**7 + 0 + 2*l. Factor r(n).
-3*n**2*(n + 1)**2*(n + 2)
Let d(f) = 6*f**3 - 6*f**2 - 6*f. Let c(i) = 5*i**3 - 5*i**2 - 6*i. Let z be 9/12 + (-18)/(-8). Let j(m) = z*c(m) - 2*d(m). Solve j(r) = 0 for r.
-1, 0, 2
Let h be (-179)/2*(4/1 + -6). Let z = -891/5 + h. Let z + 6/5*a - 6/5*a**3 - 2/5*a**2 - 2/5*a**4 = 0. What is a?
-2, -1, 1
Suppose -44*z = -48*z + 4*f + 8, 13*z - 58 = -3*f. Factor -1/2*y**z - 3/2 + 2*y**2 + y - y**3.
-(y - 1)**2*(y + 1)*(y + 3)/2
Let l(u) be the second derivative of u**7/210 + u**6/30 + u**5/25 + 3*u - 4. Factor l(h).
h**3*(h + 1)*(h + 4)/5
Let w(j) = 15*j**4 - 15*j**3 - 6*j**2 - 3*j + 22. Let o(b) = 7*b**4 - 7*b**3 - 3*b**2 - b + 10. Let c(k) = -13*o(k) + 6*w(k). Factor c(n).
-(n - 1)**3*(n + 2)
Let f = -60 - -64. Let a be 1 + ((-16)/12)/f. Factor 2/9*v + 0 - a*v**2.
-2*v*(3*v - 1)/9
Let t be 4/(-16)*(-7)/((-154)/424). Let i = 5 + t. Factor 2/11 + 0*w - i*w**2.
-2*(w - 1)*(w + 1)/11
Let 1/7*t**2 + 22201/7 + 298/7*t = 0. What is t?
-149
Let s be -15 + 21 + (-1 - 26/6). Let x(d) be the first derivative of -s*d**3 - d**2 + 1/2*d**4 + 2/5*d**5 + 0*d - 9. Find g such that x(g) = 0.
-1, 0, 1
Suppose w + 1 = -p - 0*w, 0 = -4*p + w - 19. Let b be (4 + p)*(-3)/6. Find d such that 0*d**2 + b + 0*d - 2/7*d**3 = 0.
0
Let h(s) be the second derivative of -1/6*s**4 + 0 + 1/15*s**6 + 6*s + 1/21*s**7 - 1/10*s**5 + 0*s**2 + 0*s**3. Factor h(f).
2*f**2*(f - 1)*(f + 1)**2
Let j = 4495 + -4493. Find p, given that 0 + 5/6*p**j + 0*p = 0.
0
Let c(y) be the third derivative of y**8/1344 - y**7/252 + y**6/144 + y**4/4 + 16*y**2. Let d(m) be the second derivative of c(m). Factor d(f).
5*f*(f - 1)**2
Let q(p) be the first derivative of -p**5/15 - 2*p**4 - 24*p**3 + 7*p**2/2 - 2. Let z(s) be the second derivative of q(s). Let z(b) = 0. What is b?
-6
Let f be ((-189)/(-4))/21 + (30/(-24) - -1). Factor 0 - 4/3*h**f - 2/3*h**5 + 2/3*h + 4/3*h**4 + 0*h**3.
-2*h*(h - 1)**3*(h + 1)/3
Suppose -33*x - 7*x = -160. Let -7/8*z**2 - 1/8*z**3 + 0*z + 1/2 + 3/8*z**x + 1/8*z**5 = 0. What is z?
-2, -1, 1
Let a be (1 + 8)/((-90)/(-30)). Let t(v) be the second derivative of 3/5*v**2 + 1/10*v**a + 3*v - 1/20*v**4 + 0. Determine k, given that t(k) = 0.
-1, 2
Let h(x) = 2*x**3 + 20*x**2 + 22*x + 7. Let z(a) = 2*a**3 + 12*a + 20*a**2 - a + 10*a + 6 - a**3. Let i(s) = -4*h(s) + 3*z(s). Find o, given that i(o) = 0.
-2, -1
Let j(p) be the second derivative of -p**4/90 - 2*p**3/9 - 16*p**2/15 - 16*p - 2. Find i such that j(i) = 0.
-8, -2
Let k(t) be the second derivative of -5/3*t**3 + 0 + 1/3*t**5 - 9*t + 1/18*t**6 + 5/36*t**4 + 0*t**2. Factor k(u).
5*u*(u - 1)*(u + 2)*(u + 3)/3
Suppose -9*p - 3*p = 1944. Let x = p + 325/2. Factor x*l - 1/4 - 1/4*l**2.
-(l - 1)**2/4
Let d(b) be the third derivative of b**9/12096 - b**8/2240 + b**7/1680 + 5*b**3/2 + 28*b**2. Let x(t) be the first derivative of d(t). Solve x(l) = 0.
0, 1, 2
Let 12*g - g**2 - 58 + g + 46 = 0. Calculate g.
1, 12
Let u(x) be the second derivative of x**5/45 - 7*x**4/54 + 8*x**3/27 - x**2/3 + 3*x + 6. Factor u(t).
2*(t - 1)**2*(2*t - 3)/9
Suppose -2*x - 6 + 16 = 0. Let w be -4 - -1 - (-30)/x. Factor 0*s**2 + 0*s**2 + 4*s**4 - s - s**5 + 5*s - 3*s**w - 4*s**2.
-s*(s - 2)**2*(s - 1)*(s + 1)
Let l(d) be the first derivative of d**4/10 + 2*d**3 - 73. Factor l(p).
2*p**2*(p + 15)/5
Let f(z) be the second derivative of 3*z**5 + 62*z**4/3 + 136*z**3/3 + 16*z**2 - 2*z + 131. Factor f(b).
4*(b + 2)**2*(15*b + 2)
Let w be 1*-2*348/(-8). Solve w*u + 3*u**3 + 36*u**2 + 192 + 65*u + 8*u - 16*u = 0 for u.
-4
Let k = -785 + 460. Let z = k + 327. Factor -2/3*o - 1/3*o**z + 1.
-(o - 1)*(o + 3)/3
Suppose 5*a = 10, 7*m = 12*m + a - 92. Let x be (-202)/(-4) + (-9 - -6). Factor -63/2*c**3 - m*c + 2 + x*c**2.
-(c - 1)*(7*c - 2)*(9*c - 2)/2
Suppose -4*y + 0*y = -8. Suppose -8*x + 3 = -13. Factor y*h**2 + 7 - 7 - x*h.
2*h*(h - 1)
Let i(u) be the first derivative of -25*u**3 - 35*u**2/2 + 10*u + 30. Factor i(h).
-5*(3*h + 2)*(5*h - 1)
Let n(c) be the second derivative of 3*c + 0*c**2 + 0 - 1/360*c**6 - 1/12*c**4 - 1/40*c**5 - 1/2*c**3. Let o(u) be the second derivative of n(u). Factor o(x).
-(x + 1)*(x + 2)
Let p(w) = -w**2 + 97*w - 2344. Let t be p(51). Factor 5/3 - 5/3*d**t + 0*d.
-5*(d - 1)*(d + 1)/3
Let l = 7 - 4. Suppose -2*p - 2 + 10 = 0. Factor 0*q**5 - 46*q**2 - p*q + 46*q**2 - 4*q**5 + 8*q**l.
-4*