ve of y**7/28 - y**6/15 - 49*y**5/40 + 11*y**4/4 + 4*y**3/3 - 8*y**2 - 2*y - 178. Suppose j(h) = 0. Calculate h.
-4, -2/3, 1, 4
Let i(w) be the third derivative of 2*w**7/105 - w**6/10 - 11*w**5/15 + w**4/2 + 20*w**3/3 + 4*w**2 + 75*w. Let i(u) = 0. What is u?
-2, -1, 1, 5
Let t(b) be the first derivative of -5*b**2/2 + 60*b + 62. Let f be t(12). Suppose 3/4*h**2 + 3/8*h**4 + f + 0*h + 9/8*h**3 = 0. What is h?
-2, -1, 0
Solve -10/11*v**3 + 0 - 2/11*v**4 + 2/11*v**2 + 10/11*v = 0.
-5, -1, 0, 1
Let z(k) be the first derivative of 8 + 0*k - 3/4*k**4 - 3/2*k**2 - 2*k**3. Factor z(t).
-3*t*(t + 1)**2
Suppose 3*a - 19 = -m, -a - 21 = -m - 5*a. Suppose 22 = 5*n - v, 5*n - m - 3 = -2*v. Factor 0 + 0*b**3 + 9/5*b**2 - 3/5*b**n - 6/5*b.
-3*b*(b - 1)**2*(b + 2)/5
Suppose -5*b + 3 = -2*m - 6, 5*b + 5 = -5*m. Let s(h) = -2*h. Let l be s(m). Factor 2*g**l + 2*g**2 - 1/2*g**5 - 1/2*g - 3*g**3 + 0.
-g*(g - 1)**4/2
Let h = -736 + 739. Let n be (-16)/(-128) - (-2)/8. Factor 0 + 0*k**4 + 3/4*k**h - 3/8*k**5 - n*k + 0*k**2.
-3*k*(k - 1)**2*(k + 1)**2/8
Factor 976*p**3 - 478*p**3 - 116 - 20*p**2 - 204 - 968*p - 486*p**3.
4*(p - 10)*(p + 8)*(3*p + 1)
Let i(x) be the third derivative of 5/6*x**3 + 1/12*x**5 + 0*x + 0 + 5/12*x**4 + 19*x**2. Factor i(p).
5*(p + 1)**2
Let b(h) = -2*h**3 + h. Let s(x) = 5*x**4 - 190*x**3 - 415*x**2 - 215*x. Let p(w) = 5*b(w) + s(w). Factor p(d).
5*d*(d - 42)*(d + 1)**2
Let q = 21 - 19. Factor -q*z + 3*z**2 + z**2 + 6*z + 4*z.
4*z*(z + 2)
Let a(n) be the second derivative of -n**5/90 + n**4/54 + n**3/27 - n**2/9 - 132*n + 2. Let a(m) = 0. Calculate m.
-1, 1
Let f(b) be the third derivative of b**5/510 - 49*b**4/51 + 9604*b**3/51 + 311*b**2. Determine g so that f(g) = 0.
98
Let u be ((-20)/(-35))/(8/2212). Let x = -315/2 + u. Determine g so that -x*g**4 - 1/4*g + 0 + 1/4*g**5 + 1/2*g**2 + 0*g**3 = 0.
-1, 0, 1
Let -134*v**2 + 11*v**3 + 484*v**2 - 6*v**4 + 25*v**3 + 129*v**3 + v**4 = 0. What is v?
-2, 0, 35
Suppose -11 = -g - 3. Factor -g - 37*n**4 + 39*n**4 + 11*n**3 + 6*n**2 - 3*n**3 - 8*n.
2*(n - 1)*(n + 1)*(n + 2)**2
Let g be 21/(-28) + 1*(-3)/(-4). Suppose 3*s - 4*r + 12 = -g*r, -6 = -4*s - 2*r. Factor s + 2/3*i**2 + 2*i**3 + 0*i + 2*i**4 + 2/3*i**5.
2*i**2*(i + 1)**3/3
Let q(t) = -9*t**3 - 16*t**2 + 3*t + 4. Let d(n) = -n + n**2 + 13*n**3 - 12*n**3 - n + n. Let f(c) = -3*d(c) - q(c). Find x, given that f(x) = 0.
-2, -2/3, 1/2
Let r(k) be the first derivative of -k**6/33 - 52*k**5/55 - 151*k**4/22 - 724*k**3/33 - 388*k**2/11 - 304*k/11 + 65. Find d, given that r(d) = 0.
-19, -2, -1
Let n(d) be the second derivative of d**6/2160 + d**5/180 + d**4/48 - 4*d**3/3 + 7*d. Let k(j) be the second derivative of n(j). Factor k(t).
(t + 1)*(t + 3)/6
Let l(p) be the first derivative of 4/3*p**2 - 2/15*p**5 + 2/3*p**3 - 8/3*p - 43 - 1/3*p**4. Factor l(c).
-2*(c - 1)**2*(c + 2)**2/3
Factor 1/2*t**2 + t + 0.
t*(t + 2)/2
Let o(a) be the first derivative of a**3 + 225*a**2/2 - 68. Factor o(n).
3*n*(n + 75)
Let f(o) be the second derivative of -o**5/130 - 5*o**4/78 - 8*o**3/39 - 4*o**2/13 + 64*o. Factor f(a).
-2*(a + 1)*(a + 2)**2/13
Suppose -5*l + 2*h = -43, -3*l - 2*h - h + 9 = 0. Find a, given that 23 - 20*a - 8*a**4 + 13*a**3 - 3 + l*a**3 + 3*a**4 - 15*a**2 = 0.
-1, 1, 2
Let x(c) be the first derivative of -2*c**5/35 - 96*c**4/7 - 6144*c**3/7 + 185. Determine d, given that x(d) = 0.
-96, 0
Let i(l) be the first derivative of -l**4/20 + l**3/15 + l**2 + 8*l/5 - 75. Let i(z) = 0. Calculate z.
-2, -1, 4
Factor -2/5*f**2 + 10 + 0*f.
-2*(f - 5)*(f + 5)/5
Factor -37*l**2 + 10*l**2 + 14*l**3 - 36 - 60*l - 17*l**3.
-3*(l + 1)*(l + 2)*(l + 6)
Let d(j) be the first derivative of -j**3/15 - 46*j**2/5 - 2116*j/5 - 86. Factor d(c).
-(c + 46)**2/5
Let k(s) be the second derivative of s**5/15 + 9*s**2/2 + 4*s. Let p(z) be the first derivative of k(z). What is a in p(a) = 0?
0
Factor -1/2*p**2 - 15/2*p + 17.
-(p - 2)*(p + 17)/2
Let l(d) be the second derivative of 2/33*d**3 - 12*d + 0 - 1/55*d**5 - 1/11*d**2 + 1/165*d**6 + 0*d**4. Factor l(p).
2*(p - 1)**3*(p + 1)/11
Suppose 0 = -3*o - 70 + 76. Factor 3*u**5 - u**4 - 4*u + o*u**3 - 5*u**4 + 2*u**2 + 4*u**2 - u**5.
2*u*(u - 2)*(u - 1)**2*(u + 1)
Let p = -38 + 40. Factor 6*l**p - 5 - 2*l + 2*l**3 + 1 - 43*l**4 + 41*l**4.
-2*(l - 2)*(l - 1)*(l + 1)**2
Let a(f) = -63*f - 1509. Let q be a(-24). Let 6/17*r**q + 0 + 2/17*r + 2/17*r**4 + 6/17*r**2 = 0. Calculate r.
-1, 0
Let q(f) = -f**3 - 15*f**2 - 38*f - 24. Let s be q(-12). Factor 0 - 8/9*b**2 + 2/9*b**3 + s*b.
2*b**2*(b - 4)/9
Suppose -3*x**2 - 6 - x**2 + 2*x + 0*x**3 + 10*x**2 - 2*x**3 = 0. What is x?
-1, 1, 3
Let j be (-2 - 0 - 0)/1. Let k(q) = q**2 + 2*q. Let w be k(j). Determine b so that 0 + 2/3*b + w*b**2 - 2/3*b**3 = 0.
-1, 0, 1
Let w(x) = 61*x**4 - 120*x**3 + 7*x**2 + 13. Let a(r) = -30*r**4 + 57*r**3 - 3*r**2 - 6. Let s(f) = -13*a(f) - 6*w(f). Suppose s(h) = 0. Calculate h.
-1/8, 0, 1
Solve 0 - 8/17*t + 14/17*t**2 + 28/17*t**3 + 6/17*t**4 = 0.
-4, -1, 0, 1/3
Let j(i) be the second derivative of i**6/15 + i**5/10 - 5*i**4/6 + i**3 - 53*i. Factor j(h).
2*h*(h - 1)**2*(h + 3)
Suppose -6*a = 2*a - 24. Factor 1 - x**3 + 0*x**3 - 9*x**a + 3 + 24*x**2 - 18*x.
-2*(x - 1)**2*(5*x - 2)
Factor -1/6*z**3 + 4/3*z**2 - 7/3 - 5/6*z.
-(z - 7)*(z - 2)*(z + 1)/6
Suppose -15*l = -10*l - 15. Let m(x) be the third derivative of -1/75*x**5 - 1/15*x**l + 1/600*x**6 - 9*x**2 + 0 + 0*x + 1/24*x**4. Factor m(a).
(a - 2)*(a - 1)**2/5
Let j(t) be the first derivative of -5*t**3/3 + 5*t**2 + 240*t + 490. Factor j(d).
-5*(d - 8)*(d + 6)
Suppose 4*s - r - 19 = 10, -4*s - 5*r - 1 = 0. Factor 4 - 15*d + 4*d**3 + 2*d**2 + 4*d + 7*d - s*d**2.
4*(d - 1)**2*(d + 1)
Let x(o) be the first derivative of 3*o**4/8 + 9*o**3/2 - 3*o**2/4 - 27*o/2 + 186. Solve x(p) = 0 for p.
-9, -1, 1
Let j = 2 + -2. Suppose -2*o + 6 = -w - w, -o - 2*w - 3 = j. What is z in o - 7*z**4 - 4*z**5 - 2*z**3 + 3*z**5 + 3*z + 2*z**2 + 4*z**4 = 0?
-1, 1
Determine g so that 18*g - 24/5*g**4 + 20 - 88/5*g**3 - 2/5*g**5 - 76/5*g**2 = 0.
-5, -2, -1, 1
What is r in 30/7 - 93/7*r - 39/7*r**3 + 3/7*r**4 + 99/7*r**2 = 0?
1, 10
Let i be (-24)/15*30/(-4). Let g = -9 + i. Factor -5/4*f - 1/4*f**g + 1/2 + f**2.
-(f - 2)*(f - 1)**2/4
Let y(a) be the third derivative of 0*a + 0 - 2/105*a**7 + 0*a**6 + 0*a**4 - 2/3*a**3 + 3*a**2 + 2/15*a**5. Find c, given that y(c) = 0.
-1, 1
Factor -2*c**2 - 360*c + 56*c**2 - 4*c**2 + 648.
2*(5*c - 18)**2
Let g be 1/(2/6) + 20382/(-8358). Let a = g + 2/199. Factor -2/7 + 0*z**2 + 2/7*z**4 + 4/7*z**3 - a*z.
2*(z - 1)*(z + 1)**3/7
Let z = -56 - -58. Find b such that 6*b - 6*b**z - b**2 - b**2 - b**2 + 3*b**4 = 0.
-2, 0, 1
Let k(v) be the first derivative of 3*v**4/16 + v**3 + 3*v**2/2 - 325. Find a, given that k(a) = 0.
-2, 0
Let d(r) be the first derivative of -3*r**5/20 + 3*r**3/2 - 3*r**2 - 19*r - 5. Let u(x) be the first derivative of d(x). Factor u(z).
-3*(z - 1)**2*(z + 2)
Let d(q) = q**2 + 4*q. Let t be d(-5). Let n(l) be the first derivative of 0*l**3 - t - 1/15*l**6 - 1/5*l**2 + 0*l + 0*l**5 + 1/5*l**4. Solve n(o) = 0.
-1, 0, 1
Suppose -6*l - 11 = -5. Let x be 3 + ((-26)/8 - l). Let -3/4*w**2 - 1/4 + x*w + 1/4*w**3 = 0. What is w?
1
Factor -24/5*u**2 + 0 + 18/5*u + 2/5*u**5 + 8/5*u**4 - 4/5*u**3.
2*u*(u - 1)**2*(u + 3)**2/5
Let s be 189/81 - 8/(-12). Let l(t) be the first derivative of -4 + 12/5*t**2 - 8/5*t - 2/3*t**s. Suppose l(z) = 0. Calculate z.
2/5, 2
Let b be -13*1*-2 - (-35)/35. Let p be (b - 27)/(4*1). Factor 0*i**3 + 0*i + 2/3*i**4 + p - 2/3*i**2.
2*i**2*(i - 1)*(i + 1)/3
Let c(v) be the second derivative of 3*v**5/16 + 19*v**4/8 + 19*v**3/8 - 21*v**2/4 + 271*v. Factor c(t).
3*(t + 1)*(t + 7)*(5*t - 2)/4
Let y(k) be the first derivative of k**5/105 + k**4/14 + 4*k**3/21 - 7*k**2 + 6. Let j(p) be the second derivative of y(p). Factor j(s).
4*(s + 1)*(s + 2)/7
Let p(y) = -9*y**2 + 15*y**3 - 14*y**3 - 3*y + 12*y - 2. Let x be p(8). Factor 0 + 15/4*s**3 - 3*s + x*s**2.
3*s*(s + 2)*(5*s - 2)/4
Let s = -10718/3 - -3574. Suppose -4 = -2*y + 4. Solve 2*g**2 - 16/3*g - 2/3*g**y + s*g**3 + 8/3 = 0 for g.
-2, 1, 2
Let c = 91/47 + 1079/705. Let x(g) be the first derivative of 3*g**4 + 10/9*g**6 - c*g**5 + 4/9*g**3 + 0*g - 4/3*g**2 + 10. Factor x(u).
4*u*(u - 1)**3*(5*u + 2)/3
Suppose -2 = -27*v + 5