 of u**6/120 + u**5/4 + 25*u**4/8 + 5*u**3/3 - 13. Let m(j) be the third derivative of a(j). Factor m(f).
3*(f + 5)**2
Let x be 124/(-6)*(-9)/6. Let a = 35 - x. Factor 0*f - 1/2*f**3 - 1/4*f**a + 0 - 1/4*f**2.
-f**2*(f + 1)**2/4
Let n = -10 + 22. Suppose 2*x + 6 - n = 0. Factor 1/3*v**4 + 2*v**2 - 4/3*v - 4/3*v**x + 1/3.
(v - 1)**4/3
Let g be (92/20 + -3)*22/4. Let t = 406/45 - g. Factor -4/9 - 10/9*d + 8/9*d**3 + t*d**5 - 4/9*d**2 + 8/9*d**4.
2*(d - 1)*(d + 1)**3*(d + 2)/9
Let y(x) be the second derivative of x**6/240 - x**5/20 - 11*x**4/24 - x**3 - 2*x - 96. Suppose y(i) = 0. Calculate i.
-2, 0, 12
Let w be (-6)/(2 - (-9 + 116/8)). Let -15/7*o**3 + 3/7*o**5 + 24/7 + w*o - 30/7*o**2 + 6/7*o**4 = 0. What is o?
-2, -1, 1, 2
Factor -85/8*v + 29/4 + 1/8*v**4 + 29/8*v**3 - 3/8*v**2.
(v - 1)**2*(v + 2)*(v + 29)/8
Let h(b) be the second derivative of -b**5/35 - 11*b**4/21 - 20*b**3/21 - 4*b - 1. Find a, given that h(a) = 0.
-10, -1, 0
Factor 0 + 1/4*p**2 - 3/4*p.
p*(p - 3)/4
Solve 0 + 23/5*l**4 + 1/5*l**3 - 23/5*l**2 - 7/5*l**5 + 6/5*l = 0 for l.
-1, 0, 2/7, 1, 3
Let k(p) be the first derivative of 6*p + 15/2*p**2 + 3*p**3 - 9 - 3/5*p**5 - 3/4*p**4. Suppose k(a) = 0. What is a?
-1, 2
Let d(p) be the first derivative of -8/3*p**3 + 9 + 0*p**4 + 6/5*p**5 + 0*p**2 + 0*p - 1/3*p**6. Suppose d(v) = 0. Calculate v.
-1, 0, 2
Let m be (-2277)/(-231) + -9 + 30/14. Suppose 0*j + 2/13*j**m + 0*j**2 + 0 = 0. What is j?
0
Let o(m) be the third derivative of m**6/780 - 4*m**4/13 + 128*m**3/39 + 315*m**2. Let o(f) = 0. What is f?
-8, 4
Let n(c) be the second derivative of 1/70*c**5 - 1/147*c**7 + 0 + 8*c + 2/21*c**4 + 0*c**3 + 0*c**2 - 4/105*c**6. Determine h, given that n(h) = 0.
-4, -1, 0, 1
Let h(o) be the third derivative of o**7/105 - o**6/20 - 3*o**5/10 + 23*o**4/12 - 4*o**3 - 3*o**2 - 2*o. What is l in h(l) = 0?
-3, 1, 4
Suppose s + 8 = 3*s, -4*s = -2*x - 12. Factor -15*f**2 - 5 - 22*f**2 - 10*f + 32*f**x.
-5*(f + 1)**2
Suppose -2*t + 2 = -2*o + 3*o, 2*o + 3*t = 3. Find n, given that 6 + 8*n**2 + 3*n**4 + 89*n + 19*n**2 + o*n**4 - 68*n + 15*n**3 = 0.
-2, -1
Solve -214*p**4 + 5*p**5 + 8*p**5 - p**5 + 79*p**4 - 108*p + 360*p**2 + 321*p**3 = 0 for p.
-1, 0, 1/4, 6
Let v = 30 + -21. Let a be 9/v*0/(-1). Find s, given that 5/2*s**4 + 3/2*s**3 + a - 2*s**5 - 5/2*s**2 + 1/2*s = 0.
-1, 0, 1/4, 1
Let k(q) = q**3 - q**2 - 1. Let m(g) = 8*g**3 - 20*g**2 + 8*g + 18. Let l(o) = -6*k(o) + m(o). Factor l(j).
2*(j - 6)*(j - 2)*(j + 1)
Let h(n) = -4*n**2 - 57*n - 14. Let x be h(-14). Let u(i) be the second derivative of 4*i + 0*i**5 - 1/15*i**6 + x*i**3 + 0 + 0*i**2 + 0*i**4. Factor u(t).
-2*t**4
Let h(i) be the third derivative of -3/140*i**5 + 0*i + 1/70*i**6 - 1/490*i**7 + 0 - 1/14*i**4 + 2/7*i**3 - 6*i**2. What is f in h(f) = 0?
-1, 1, 2
Suppose -2*h = -3*h + 3. Let c(v) = -4*v**3 + v + 1. Let y be c(-1). Find b, given that 0*b**2 - 3*b**4 - 3*b**2 - 3 + 2*b**4 + y*b + 7 - 4*b**h = 0.
-2, -1, 1
Let r(p) be the first derivative of 0*p - 1/40*p**5 - 14 - 1/3*p**3 - 1/4*p**2 - 5/32*p**4. Let r(q) = 0. Calculate q.
-2, -1, 0
Let k be ((-6)/(-9))/((-2)/(-51)) - -3. Factor -5*f**2 - f**2 - k*f**3 + 11*f**3 - 3*f**4.
-3*f**2*(f + 1)*(f + 2)
Let a(v) be the second derivative of v**4/48 - 13*v**3/6 + 145*v. Factor a(y).
y*(y - 52)/4
Let p be (-1 - 3)*(-2)/2. Let m(r) be the first derivative of 0*r**p - 1 + 1/3*r**3 + 0*r + 0*r**2 - 1/8*r**6 - 7/20*r**5. Let m(x) = 0. Calculate x.
-2, -1, 0, 2/3
Let z = -362 - -366. Let t(i) be the first derivative of 0*i**2 + 1/14*i**6 + 9/28*i**z + 9 + 1/7*i**3 + 0*i + 9/35*i**5. Determine q so that t(q) = 0.
-1, 0
Let p be (-1 - 135/(-33)) + 6/(-3). Let q = -37/44 + p. Factor 3/4 + 1/2*y - q*y**2.
-(y - 3)*(y + 1)/4
Let r be (-118)/(-14) + -1 + (-4)/(-7). Let -r*o**3 + o**3 + 5*o**3 - 20*o**2 + 8*o**3 + 6*o = 0. What is o?
0, 1/3, 3
Let z(n) = -20 + 25*n + 92 - 31*n. Let d be z(12). Factor -1/5*f**2 + 2/5*f - 1/5*f**3 + d.
-f*(f - 1)*(f + 2)/5
Let b be 4 - 7/14*0. Let h(a) be the first derivative of a**2 - 1/30*a**5 + 5 + 1/4*a**b - 13/18*a**3 - 2/3*a. Determine n so that h(n) = 0.
1, 2
Let d(h) be the third derivative of -h**8/30240 + h**6/1080 + 13*h**5/60 - 3*h**2. Let a(x) be the third derivative of d(x). Factor a(q).
-2*(q - 1)*(q + 1)/3
Let h(v) = 15*v**5 - 26*v**4 - 55*v**3 + 33*v**2 - 18*v - 9. Let o(a) = -a**5 - a**3 - a**2 + 2*a + 1. Let l(f) = 2*h(f) + 18*o(f). Solve l(i) = 0.
-2, 0, 1/3, 6
Let 768/19 + 1472/19*h - 102/19*h**3 + 2/19*h**5 + 620/19*h**2 - 16/19*h**4 = 0. What is h?
-6, -1, 8
Suppose -5*m = -10*m + 15. Let k be 1/3*(-504)/(-1632)*17. What is x in -1/4*x**5 + 0 - k*x**2 - 1/2*x - 5/4*x**4 - 9/4*x**m = 0?
-2, -1, 0
Let h(x) be the first derivative of 4 - 1/2*x**4 - x**3 + 3/5*x**5 + x**2 + 0*x. Factor h(l).
l*(l - 1)*(l + 1)*(3*l - 2)
Suppose 62*z + 80 = 66*z. Suppose 0*w = -10*w + z. Let 0*i + 2/9*i**3 - 8/9*i**4 + 0 + 2/3*i**w = 0. What is i?
-3/4, 0, 1
Let c(x) = -4*x**3 - 598*x**2 - 16913*x - 13. Let s(i) = 2*i**3 + 296*i**2 + 8456*i + 6. Let l(g) = -6*c(g) - 13*s(g). Let l(f) = 0. What is f?
-65, 0
Let x = 5419/14872 - 1/1352. Factor -2/11*z + 2/11 - x*z**2.
-2*(z + 1)*(2*z - 1)/11
Let p(h) be the third derivative of 3*h**5/25 + 7*h**4/10 + 49*h**3/30 - 40*h**2. Suppose p(g) = 0. Calculate g.
-7/6
Let n(q) be the second derivative of 3*q - 1/30*q**6 + 0 + 1/8*q**4 + 0*q**2 + 1/3*q**3 - 3/40*q**5. Let k(o) be the second derivative of n(o). Factor k(y).
-3*(y + 1)*(4*y - 1)
Let c(x) be the second derivative of -x**7/7 - 31*x**6/15 - 77*x**5/10 + 17*x**4/2 + 160*x**3/3 - 100*x**2 + x - 28. Determine h, given that c(h) = 0.
-5, -2, 2/3, 1
Let o be (0 + 20)/(-3*(-4)/72). Let g be (-1)/2 - o/(-112). Let -g*b**2 - 1/7*b**3 - 5/7*b - 2/7 = 0. What is b?
-2, -1
Let d(m) = 104*m**2 + 143*m + 41. Let u(k) = 2*k**2 + k - 3. Let v(x) = -d(x) + 3*u(x). What is s in v(s) = 0?
-5/7
Let m(n) be the third derivative of n**5/450 - n**4/60 - 4*n**3/45 - 10*n**2 + 2*n. Factor m(o).
2*(o - 4)*(o + 1)/15
Suppose 0 = -5*m - 15, -4*v = -3*m + 7*m. Suppose 6*t - v*t - 9 = 0. Suppose -39*h**t + 3*h + 10 - 27*h**2 - 17*h**4 + 2*h**4 - 4 = 0. Calculate h.
-1, 2/5
Let b(a) = 10*a - 34. Let y be b(27). Let l = y + -234. What is t in 0 + 1/9*t**3 + 1/9*t**l + 0*t = 0?
-1, 0
Let c(j) = j**4 - j**3 + 3*j**2 + 5*j + 2. Let k(w) = -3*w**4 + 2*w**3 - 6*w**2 - 10*w - 4. Let g(b) = 5*c(b) + 2*k(b). Find f such that g(f) = 0.
-1, 2
Let p = -443 + 719. Let s = p - 272. Factor -12/7*m**3 - 8/7*m**2 - 2/7*m**5 - 8/7*m**s - 2/7*m + 0.
-2*m*(m + 1)**4/7
Let l(d) = -686*d**3 + 5361*d**2 - 10345*d - 789. Let v(p) = 137*p**3 - 1072*p**2 + 2070*p + 158. Let n(h) = 2*l(h) + 11*v(h). What is g in n(g) = 0?
-2/27, 4
Let k(o) be the second derivative of 1445*o**4/12 + 170*o**3/3 + 10*o**2 + o - 114. Let k(w) = 0. Calculate w.
-2/17
Solve 1 + 2*x + 3/4*x**2 - 1/2*x**3 - 1/4*x**4 = 0 for x.
-2, -1, 2
Let l(y) be the second derivative of 0*y**2 + 0 - 11*y - 1/39*y**3 - 1/65*y**5 - 1/26*y**4. Find x such that l(x) = 0.
-1, -1/2, 0
Let c be 11/((-132)/(-14)) + (-2)/4. Let x(s) = -s**2 - 4*s + 2. Let a be x(-3). Solve 1/3*v**2 - 1/3 - c*v**3 + 0*v**4 + 1/6*v**a + 1/2*v = 0.
-2, -1, 1
Suppose 0 = -3*a - 5*d - 458 + 452, 5*d = -5*a. What is y in -a + 3/2*y**2 - 3/2*y = 0?
-1, 2
Factor -144 - 472*v**3 - 256 + 468*v**3 - 56*v**2 - 260*v.
-4*(v + 4)*(v + 5)**2
Let d(a) be the third derivative of -a**7/70 + 21*a**6/10 - 441*a**5/5 + 2*a**2 - 422. Factor d(s).
-3*s**2*(s - 42)**2
Let j be (-165)/(-66)*16/20. Let g(t) be the second derivative of -2/9*t**4 + 0 + 1/15*t**5 + 0*t**3 - 5*t + 0*t**j. Factor g(z).
4*z**2*(z - 2)/3
Let 6962*b**5 + 72*b + b**4 - 44*b**3 - 36*b**2 - 6958*b**5 + b**4 + 2*b**4 = 0. What is b?
-3, -2, 0, 1, 3
Let i(l) be the third derivative of 0*l**3 + 1/60*l**5 + 0*l - 1/360*l**6 + 0 - 1/36*l**4 - 8*l**2. Factor i(u).
-u*(u - 2)*(u - 1)/3
Suppose 0 = -i + 6 - 5. Let v be 26/6 + i/((-1)/3). Factor 0 - v*o - 2/3*o**2.
-2*o*(o + 2)/3
Let g(r) be the first derivative of -2*r**3/45 + 17*r**2/3 + 172*r/15 + 327. Let g(o) = 0. What is o?
-1, 86
Let t(k) be the second derivative of -k**7/5880 + k**5/280 - k**4/84 + 5*k**3/6 - 6*k. Let p(u) be the second derivative of t(u). Solve p(l) = 0.
-2, 1
Let k(n) be the second derivative of 9*n**5/10 + 13*n**4 - 116*n**